diff --git "a/expression/combination_100_value1000-10000/base16_depth2.jsonl" "b/expression/combination_100_value1000-10000/base16_depth2.jsonl"
new file mode 100644--- /dev/null
+++ "b/expression/combination_100_value1000-10000/base16_depth2.jsonl"
@@ -0,0 +1,1000 @@
+{"id":1,"expression_no_base_symbol":"($1650$⩨$1041$)⨁⊸⫻","expression":"(∃⊬672⩨∃⊬411)⨁⊸⫻","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":1650,"base":16},"right_expr":{"type":"numeric_atoms","value":1041,"base":16}}},"used_operators":["glklzrTFfD","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1650","layer":2},{"info":"number node, value=1041","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=1041, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬672⩨∃⊬411)⨁⊸⫻=∃⊬0","reverse_text":"∃⊬0=(∃⊬672⩨∃⊬411)⨁⊸⫻","cot":[{"info":"∃⊬672⩨∃⊬411=∃⊬0","layer":1},{"info":"∃⊬0⨁⊸⫻=∃⊬0","layer":0}]}
+{"id":2,"expression_no_base_symbol":"↣≠⋷(-$1939$)","expression":"↣≠⋷(-∃⊬793)","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":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1939,"base":16}}},"used_operators":["Asc51vEJeQ","t8gj7n24qd"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1939","layer":2},{"info":"compute unary expreesion, input=1939, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1939","layer":1},{"info":"compute unary expreesion, input=-1939, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷(-∃⊬793)=NaN","reverse_text":"NaN=↣≠⋷(-∃⊬793)","cot":[{"info":"-∃⊬793=∃⊬-793","layer":1},{"info":"↣≠⋷∃⊬-793=NaN","layer":0}]}
+{"id":3,"expression_no_base_symbol":"⪝⪂⫅(⪲⇎$6148$)","expression":"⪝⪂⫅(⪲⇎∃⊬1804)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":152,"operation_count":2,"complexity_ratio":76.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6148,"base":16}}},"used_operators":["XTarYq4gQB","XPYlsWDdGa"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1B9498","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6148","layer":2},{"info":"compute unary expreesion, input=6148, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12296","layer":1},{"info":"compute unary expreesion, input=12296, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1807512","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅(⪲⇎∃⊬1804)=∃⊬-1B9498","reverse_text":"∃⊬-1B9498=⪝⪂⫅(⪲⇎∃⊬1804)","cot":[{"info":"⪲⇎∃⊬1804=∃⊬3008","layer":1},{"info":"⪝⪂⫅∃⊬3008=∃⊬-1B9498","layer":0}]}
+{"id":4,"expression_no_base_symbol":"(⨑⩽⪐$2011$)⩚⊴⇥$2018$≧⫂∧$3130$","expression":"(⨑⩽⪐∃⊬7DB)⩚⊴⇥∃⊬7E2≧⫂∧∃⊬C3A","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":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2011,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2018,"base":16},"right_expr":{"type":"numeric_atoms","value":3130,"base":16}}},"used_operators":["NTOWxs364D","AF7qkfDlqP","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-410","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2011","layer":2},{"info":"compute unary expreesion, input=2011, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1738","layer":1},{"info":"number node, value=2018","layer":2},{"info":"number node, value=3130","layer":2},{"info":"compute binary expreesion, left_input=2018, right_input=3130, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2657","layer":1},{"info":"compute binary expreesion, left_input=-1738, right_input=2657, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1040","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐∃⊬7DB)⩚⊴⇥∃⊬7E2≧⫂∧∃⊬C3A=∃⊬-410","reverse_text":"∃⊬-410=(⨑⩽⪐∃⊬7DB)⩚⊴⇥∃⊬7E2≧⫂∧∃⊬C3A","cot":[{"info":"⨑⩽⪐∃⊬7DB=∃⊬-6CA","layer":1},{"info":"∃⊬7E2≧⫂∧∃⊬C3A=∃⊬A61","layer":1},{"info":"∃⊬-6CA⩚⊴⇥∃⊬A61=∃⊬-410","layer":0}]}
+{"id":5,"expression_no_base_symbol":"($5465$↺$6520$)⩠","expression":"(∃⊬1559↺∃⊬1978)⩠","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":5465,"base":16},"right_expr":{"type":"numeric_atoms","value":6520,"base":16}}},"used_operators":["sJAwomhLZr","7j4O788W3g"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5465","layer":2},{"info":"number node, value=6520","layer":2},{"info":"compute binary expreesion, left_input=5465, right_input=6520, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6520","layer":1},{"info":"compute unary expreesion, input=6520, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1559↺∃⊬1978)⩠=∃⊬0","reverse_text":"∃⊬0=(∃⊬1559↺∃⊬1978)⩠","cot":[{"info":"∃⊬1559↺∃⊬1978=∃⊬1978","layer":1},{"info":"∃⊬1978⩠=∃⊬0","layer":0}]}
+{"id":6,"expression_no_base_symbol":"($3935$⪄$2918$)⨓($6962$∲⫓$1658$)","expression":"(∃⊬F5F⪄∃⊬B66)⨓(∃⊬1B32∲⫓∃⊬67A)","highest_n_order":3,"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":3935,"base":16},"right_expr":{"type":"numeric_atoms","value":2918,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6962,"base":16},"right_expr":{"type":"numeric_atoms","value":1658,"base":16}}},"used_operators":["3ViojmjbAp","SUmda5xLS4","i8ToyICDmI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3935","layer":2},{"info":"number node, value=2918","layer":2},{"info":"compute binary expreesion, left_input=3935, right_input=2918, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-590141","layer":1},{"info":"number node, value=6962","layer":2},{"info":"number node, value=1658","layer":2},{"info":"compute binary expreesion, left_input=6962, right_input=1658, 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=-590141, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F5F⪄∃⊬B66)⨓(∃⊬1B32∲⫓∃⊬67A)=NaN","reverse_text":"NaN=(∃⊬F5F⪄∃⊬B66)⨓(∃⊬1B32∲⫓∃⊬67A)","cot":[{"info":"∃⊬F5F⪄∃⊬B66=∃⊬-9013D","layer":1},{"info":"∃⊬1B32∲⫓∃⊬67A=∃⊬0","layer":1},{"info":"∃⊬-9013D⨓∃⊬0=NaN","layer":0}]}
+{"id":7,"expression_no_base_symbol":"($3116$⪒$2322$)⊭↱($5140$⩨$5113$)","expression":"(∃⊬C2C⪒∃⊬912)⊭↱(∃⊬1414⩨∃⊬13F9)","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":3116,"base":16},"right_expr":{"type":"numeric_atoms","value":2322,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5140,"base":16},"right_expr":{"type":"numeric_atoms","value":5113,"base":16}}},"used_operators":["COABgblf1C","f6k1SAg4EE","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬2A81","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3116","layer":2},{"info":"number node, value=2322","layer":2},{"info":"compute binary expreesion, left_input=3116, right_input=2322, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5438","layer":1},{"info":"number node, value=5140","layer":2},{"info":"number node, value=5113","layer":2},{"info":"compute binary expreesion, left_input=5140, right_input=5113, 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=-5438, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10881","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C2C⪒∃⊬912)⊭↱(∃⊬1414⩨∃⊬13F9)=∃⊬2A81","reverse_text":"∃⊬2A81=(∃⊬C2C⪒∃⊬912)⊭↱(∃⊬1414⩨∃⊬13F9)","cot":[{"info":"∃⊬C2C⪒∃⊬912=∃⊬-153E","layer":1},{"info":"∃⊬1414⩨∃⊬13F9=∃⊬0","layer":1},{"info":"∃⊬-153E⊭↱∃⊬0=∃⊬2A81","layer":0}]}
+{"id":8,"expression_no_base_symbol":"($5722$≎⊠⪸$7573$)≧⫂∧($4886$-$2252$)","expression":"(∃⊬165A≎⊠⪸∃⊬1D95)≧⫂∧(∃⊬1316-∃⊬8CC)","highest_n_order":2,"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":5722,"base":16},"right_expr":{"type":"numeric_atoms","value":7573,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4886,"base":16},"right_expr":{"type":"numeric_atoms","value":2252,"base":16}}},"used_operators":["Ph9nP6C5qx","bJkvcejdHO","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬871","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5722","layer":2},{"info":"number node, value=7573","layer":2},{"info":"compute binary expreesion, left_input=5722, right_input=7573, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1481525","layer":1},{"info":"number node, value=4886","layer":2},{"info":"number node, value=2252","layer":2},{"info":"compute binary expreesion, left_input=4886, right_input=2252, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2634","layer":1},{"info":"compute binary expreesion, left_input=1481525, right_input=2634, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2161","layer":0}],"base":16,"result_base":16,"text":"(∃⊬165A≎⊠⪸∃⊬1D95)≧⫂∧(∃⊬1316-∃⊬8CC)=∃⊬871","reverse_text":"∃⊬871=(∃⊬165A≎⊠⪸∃⊬1D95)≧⫂∧(∃⊬1316-∃⊬8CC)","cot":[{"info":"∃⊬165A≎⊠⪸∃⊬1D95=∃⊬169B35","layer":1},{"info":"∃⊬1316-∃⊬8CC=∃⊬A4A","layer":1},{"info":"∃⊬169B35≧⫂∧∃⊬A4A=∃⊬871","layer":0}]}
+{"id":9,"expression_no_base_symbol":"($4972$∑⇟⊟$4180$)⨪↰⇹(↽≂$4150$)","expression":"(∃⊬136C∑⇟⊟∃⊬1054)⨪↰⇹(↽≂∃⊬1036)","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":4972,"base":16},"right_expr":{"type":"numeric_atoms","value":4180,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4150,"base":16}}},"used_operators":["tmPS8pqC7x","U7g4x0WXJJ","u6S6b8DprG"],"dependent_operators":["rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4972","layer":2},{"info":"number node, value=4180","layer":2},{"info":"compute binary expreesion, left_input=4972, right_input=4180, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4150","layer":2},{"info":"compute unary expreesion, input=4150, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8300","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8300, 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":16,"result_base":16,"text":"(∃⊬136C∑⇟⊟∃⊬1054)⨪↰⇹(↽≂∃⊬1036)=NaN","reverse_text":"NaN=(∃⊬136C∑⇟⊟∃⊬1054)⨪↰⇹(↽≂∃⊬1036)","cot":[{"info":"∃⊬136C∑⇟⊟∃⊬1054=NaN","layer":1},{"info":"↽≂∃⊬1036=∃⊬-206C","layer":1},{"info":"NaN⨪↰⇹∃⊬-206C=NaN","layer":0}]}
+{"id":10,"expression_no_base_symbol":"$8691$⋳⪒$1237$+$1062$∑⇟⊟$4015$","expression":"∃⊬21F3⋳⪒∃⊬4D5+∃⊬426∑⇟⊟∃⊬FAF","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":8691,"base":16},"right_expr":{"type":"numeric_atoms","value":1237,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1062,"base":16},"right_expr":{"type":"numeric_atoms","value":4015,"base":16}}},"used_operators":["W4YGzv6Whe","12rbrZMWeM","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=8691","layer":2},{"info":"number node, value=1237","layer":2},{"info":"compute binary expreesion, left_input=8691, right_input=1237, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15858","layer":1},{"info":"number node, value=1062","layer":2},{"info":"number node, value=4015","layer":2},{"info":"compute binary expreesion, left_input=1062, right_input=4015, 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=15858, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬21F3⋳⪒∃⊬4D5+∃⊬426∑⇟⊟∃⊬FAF=NaN","reverse_text":"NaN=∃⊬21F3⋳⪒∃⊬4D5+∃⊬426∑⇟⊟∃⊬FAF","cot":[{"info":"∃⊬21F3⋳⪒∃⊬4D5=∃⊬3DF2","layer":1},{"info":"∃⊬426∑⇟⊟∃⊬FAF=NaN","layer":1},{"info":"∃⊬3DF2+NaN=NaN","layer":0}]}
+{"id":11,"expression_no_base_symbol":"$2765$⪛$1929$⋥≓≎($2122$/$1290$)","expression":"∃⊬ACD⪛∃⊬789⋥≓≎(∃⊬84A/∃⊬50A)","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":2765,"base":16},"right_expr":{"type":"numeric_atoms","value":1929,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2122,"base":16},"right_expr":{"type":"numeric_atoms","value":1290,"base":16}}},"used_operators":["Qy55tPpLXF","uFcxV4UQCh","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z"],"result":"∃⊬-321","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2765","layer":2},{"info":"number node, value=1929","layer":2},{"info":"compute binary expreesion, left_input=2765, right_input=1929, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=836","layer":1},{"info":"number node, value=2122","layer":2},{"info":"number node, value=1290","layer":2},{"info":"compute binary expreesion, left_input=2122, right_input=1290, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=836, right_input=1, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-801","layer":0}],"base":16,"result_base":16,"text":"∃⊬ACD⪛∃⊬789⋥≓≎(∃⊬84A/∃⊬50A)=∃⊬-321","reverse_text":"∃⊬-321=∃⊬ACD⪛∃⊬789⋥≓≎(∃⊬84A/∃⊬50A)","cot":[{"info":"∃⊬ACD⪛∃⊬789=∃⊬344","layer":1},{"info":"∃⊬84A/∃⊬50A=∃⊬1","layer":1},{"info":"∃⊬344⋥≓≎∃⊬1=∃⊬-321","layer":0}]}
+{"id":12,"expression_no_base_symbol":"↥(⪲⇎$2985$)","expression":"↥(⪲⇎∃⊬BA9)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":119,"operation_count":2,"complexity_ratio":59.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2985,"base":16}}},"used_operators":["A8NUZmVepG","XPYlsWDdGa"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2985","layer":2},{"info":"compute unary expreesion, input=2985, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5970","layer":1},{"info":"compute unary expreesion, input=5970, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":0}],"base":16,"result_base":16,"text":"↥(⪲⇎∃⊬BA9)=∃⊬3","reverse_text":"∃⊬3=↥(⪲⇎∃⊬BA9)","cot":[{"info":"⪲⇎∃⊬BA9=∃⊬1752","layer":1},{"info":"↥∃⊬1752=∃⊬3","layer":0}]}
+{"id":13,"expression_no_base_symbol":"$3115$⇼⇔∾$1395$⨵⪆($1215$⫌⩹⨱)","expression":"∃⊬C2B⇼⇔∾∃⊬573⨵⪆(∃⊬4BF⫌⩹⨱)","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":3115,"base":16},"right_expr":{"type":"numeric_atoms","value":1395,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1215,"base":16}}},"used_operators":["2DQ55sFlQl","tifHPKVTfV","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3115","layer":2},{"info":"number node, value=1395","layer":2},{"info":"compute binary expreesion, left_input=3115, right_input=1395, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1720","layer":1},{"info":"number node, value=1215","layer":2},{"info":"compute unary expreesion, input=1215, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3831","layer":1},{"info":"compute binary expreesion, left_input=-1720, right_input=3831, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬C2B⇼⇔∾∃⊬573⨵⪆(∃⊬4BF⫌⩹⨱)=∃⊬A0","reverse_text":"∃⊬A0=∃⊬C2B⇼⇔∾∃⊬573⨵⪆(∃⊬4BF⫌⩹⨱)","cot":[{"info":"∃⊬C2B⇼⇔∾∃⊬573=∃⊬-6B8","layer":1},{"info":"∃⊬4BF⫌⩹⨱=∃⊬EF7","layer":1},{"info":"∃⊬-6B8⨵⪆∃⊬EF7=∃⊬A0","layer":0}]}
+{"id":14,"expression_no_base_symbol":"⨰⫟⨤(⨑⩽⪐$1238$)","expression":"⨰⫟⨤(⨑⩽⪐∃⊬4D6)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4756,"operation_count":2,"complexity_ratio":2378.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1238,"base":16}}},"used_operators":["Tw270M8GLb","AF7qkfDlqP"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":2},{"info":"compute unary expreesion, input=1238, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-965","layer":1},{"info":"compute unary expreesion, input=-965, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤(⨑⩽⪐∃⊬4D6)=NaN","reverse_text":"NaN=⨰⫟⨤(⨑⩽⪐∃⊬4D6)","cot":[{"info":"⨑⩽⪐∃⊬4D6=∃⊬-3C5","layer":1},{"info":"⨰⫟⨤∃⊬-3C5=NaN","layer":0}]}
+{"id":15,"expression_no_base_symbol":"⪝⪂⫅($3783$⫡⨏$2262$)","expression":"⪝⪂⫅(∃⊬EC7⫡⨏∃⊬8D6)","highest_n_order":2,"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":3783,"base":16},"right_expr":{"type":"numeric_atoms","value":2262,"base":16}}},"used_operators":["XTarYq4gQB","QMFrweE19q"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-3654BA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3783","layer":2},{"info":"number node, value=2262","layer":2},{"info":"compute binary expreesion, left_input=3783, right_input=2262, 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=24222","layer":1},{"info":"compute unary expreesion, input=24222, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-3560634","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅(∃⊬EC7⫡⨏∃⊬8D6)=∃⊬-3654BA","reverse_text":"∃⊬-3654BA=⪝⪂⫅(∃⊬EC7⫡⨏∃⊬8D6)","cot":[{"info":"∃⊬EC7⫡⨏∃⊬8D6=∃⊬5E9E","layer":1},{"info":"⪝⪂⫅∃⊬5E9E=∃⊬-3654BA","layer":0}]}
+{"id":16,"expression_no_base_symbol":"($3285$-$4499$)↬($5149$⪨≂$1726$)","expression":"(∃⊬CD5-∃⊬1193)↬(∃⊬141D⪨≂∃⊬6BE)","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":3285,"base":16},"right_expr":{"type":"numeric_atoms","value":4499,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5149,"base":16},"right_expr":{"type":"numeric_atoms","value":1726,"base":16}}},"used_operators":["B5M0gjZbta","rysDP5nf3Z","sdazOOVcIp"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3285","layer":2},{"info":"number node, value=4499","layer":2},{"info":"compute binary expreesion, left_input=3285, right_input=4499, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1214","layer":1},{"info":"number node, value=5149","layer":2},{"info":"number node, value=1726","layer":2},{"info":"compute binary expreesion, left_input=5149, right_input=1726, 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=6948","layer":1},{"info":"compute binary expreesion, left_input=-1214, right_input=6948, 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":16,"result_base":16,"text":"(∃⊬CD5-∃⊬1193)↬(∃⊬141D⪨≂∃⊬6BE)=NaN","reverse_text":"NaN=(∃⊬CD5-∃⊬1193)↬(∃⊬141D⪨≂∃⊬6BE)","cot":[{"info":"∃⊬CD5-∃⊬1193=∃⊬-4BE","layer":1},{"info":"∃⊬141D⪨≂∃⊬6BE=∃⊬1B24","layer":1},{"info":"∃⊬-4BE↬∃⊬1B24=NaN","layer":0}]}
+{"id":17,"expression_no_base_symbol":"($2311$≧⫂∧$1751$)∑⇟⊟(⪲⇎$1508$)","expression":"(∃⊬907≧⫂∧∃⊬6D7)∑⇟⊟(⪲⇎∃⊬5E4)","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":2311,"base":16},"right_expr":{"type":"numeric_atoms","value":1751,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1508,"base":16}}},"used_operators":["U7g4x0WXJJ","Ph9nP6C5qx","XPYlsWDdGa"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2311","layer":2},{"info":"number node, value=1751","layer":2},{"info":"compute binary expreesion, left_input=2311, right_input=1751, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1278","layer":1},{"info":"number node, value=1508","layer":2},{"info":"compute unary expreesion, input=1508, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3016","layer":1},{"info":"compute binary expreesion, left_input=1278, right_input=3016, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬907≧⫂∧∃⊬6D7)∑⇟⊟(⪲⇎∃⊬5E4)=NaN","reverse_text":"NaN=(∃⊬907≧⫂∧∃⊬6D7)∑⇟⊟(⪲⇎∃⊬5E4)","cot":[{"info":"∃⊬907≧⫂∧∃⊬6D7=∃⊬4FE","layer":1},{"info":"⪲⇎∃⊬5E4=∃⊬BC8","layer":1},{"info":"∃⊬4FE∑⇟⊟∃⊬BC8=NaN","layer":0}]}
+{"id":18,"expression_no_base_symbol":"(∥⊫$1717$)⊉≛↸$4312$⋝⋈⪟$7687$","expression":"(∥⊫∃⊬6B5)⊉≛↸∃⊬10D8⋝⋈⪟∃⊬1E07","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":1717,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4312,"base":16},"right_expr":{"type":"numeric_atoms","value":7687,"base":16}}},"used_operators":["DZ8iAZOCBD","P8v4zCKN1o","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1432","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1717","layer":2},{"info":"compute unary expreesion, input=1717, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2585","layer":1},{"info":"number node, value=4312","layer":2},{"info":"number node, value=7687","layer":2},{"info":"compute binary expreesion, left_input=4312, right_input=7687, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4312","layer":1},{"info":"compute binary expreesion, left_input=2585, right_input=4312, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5170","layer":0}],"base":16,"result_base":16,"text":"(∥⊫∃⊬6B5)⊉≛↸∃⊬10D8⋝⋈⪟∃⊬1E07=∃⊬1432","reverse_text":"∃⊬1432=(∥⊫∃⊬6B5)⊉≛↸∃⊬10D8⋝⋈⪟∃⊬1E07","cot":[{"info":"∥⊫∃⊬6B5=∃⊬A19","layer":1},{"info":"∃⊬10D8⋝⋈⪟∃⊬1E07=∃⊬10D8","layer":1},{"info":"∃⊬A19⊉≛↸∃⊬10D8=∃⊬1432","layer":0}]}
+{"id":19,"expression_no_base_symbol":"$1105$⨳⩥⨓$4401$%$2763$⊴$2304$","expression":"∃⊬451⨳⩥⨓∃⊬1131%∃⊬ACB⊴∃⊬900","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2625,"operation_count":3,"complexity_ratio":875.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1105,"base":16},"right_expr":{"type":"numeric_atoms","value":4401,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2763,"base":16},"right_expr":{"type":"numeric_atoms","value":2304,"base":16}}},"used_operators":["k8jYdgA6NY","nCS4ZIUYfx","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1105","layer":2},{"info":"number node, value=4401","layer":2},{"info":"compute binary expreesion, left_input=1105, right_input=4401, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3296","layer":1},{"info":"number node, value=2763","layer":2},{"info":"number node, value=2304","layer":2},{"info":"compute binary expreesion, left_input=2763, right_input=2304, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3296, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬451⨳⩥⨓∃⊬1131%∃⊬ACB⊴∃⊬900=NaN","reverse_text":"NaN=∃⊬451⨳⩥⨓∃⊬1131%∃⊬ACB⊴∃⊬900","cot":[{"info":"∃⊬451⨳⩥⨓∃⊬1131=∃⊬CE0","layer":1},{"info":"∃⊬ACB⊴∃⊬900=NaN","layer":1},{"info":"∃⊬CE0%NaN=NaN","layer":0}]}
+{"id":20,"expression_no_base_symbol":"($1634$∧)∲⫓$3823$⪄$7417$","expression":"(∃⊬662∧)∲⫓∃⊬EEF⪄∃⊬1CF9","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":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1634,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3823,"base":16},"right_expr":{"type":"numeric_atoms","value":7417,"base":16}}},"used_operators":["i8ToyICDmI","z63VuFQld9","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1634","layer":2},{"info":"compute unary expreesion, input=1634, 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=3823","layer":2},{"info":"number node, value=7417","layer":2},{"info":"compute binary expreesion, left_input=3823, right_input=7417, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-591561","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-591561, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬662∧)∲⫓∃⊬EEF⪄∃⊬1CF9=NaN","reverse_text":"NaN=(∃⊬662∧)∲⫓∃⊬EEF⪄∃⊬1CF9","cot":[{"info":"∃⊬662∧=NaN","layer":1},{"info":"∃⊬EEF⪄∃⊬1CF9=∃⊬-906C9","layer":1},{"info":"NaN∲⫓∃⊬-906C9=NaN","layer":0}]}
+{"id":21,"expression_no_base_symbol":"($1126$⊪)*(⨵≀≌$7325$)","expression":"(∃⊬466⊪)*(⨵≀≌∃⊬1C9D)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1126,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7325,"base":16}}},"used_operators":["9HNa5Wba9A","zVYPLywUTj","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1126","layer":2},{"info":"compute unary expreesion, input=1126, 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=7325","layer":2},{"info":"compute unary expreesion, input=7325, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-21975","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-21975, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬466⊪)*(⨵≀≌∃⊬1C9D)=∃⊬0","reverse_text":"∃⊬0=(∃⊬466⊪)*(⨵≀≌∃⊬1C9D)","cot":[{"info":"∃⊬466⊪=∃⊬0","layer":1},{"info":"⨵≀≌∃⊬1C9D=∃⊬-55D7","layer":1},{"info":"∃⊬0*∃⊬-55D7=∃⊬0","layer":0}]}
+{"id":22,"expression_no_base_symbol":"(+⊝⨔$1015$)↺($8862$⊘)","expression":"(+⊝⨔∃⊬3F7)↺(∃⊬229E⊘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1015,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":8862,"base":16}}},"used_operators":["7j4O788W3g","DhbWaqg5eL","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1015","layer":2},{"info":"compute unary expreesion, input=1015, 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=8862","layer":2},{"info":"compute unary expreesion, input=8862, 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=1522, 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":16,"result_base":16,"text":"(+⊝⨔∃⊬3F7)↺(∃⊬229E⊘)=∃⊬0","reverse_text":"∃⊬0=(+⊝⨔∃⊬3F7)↺(∃⊬229E⊘)","cot":[{"info":"+⊝⨔∃⊬3F7=∃⊬5F2","layer":1},{"info":"∃⊬229E⊘=∃⊬0","layer":1},{"info":"∃⊬5F2↺∃⊬0=∃⊬0","layer":0}]}
+{"id":23,"expression_no_base_symbol":"$1190$⩷∴$3947$+($3891$∧)","expression":"∃⊬4A6⩷∴∃⊬F6B+(∃⊬F33∧)","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":1190,"base":16},"right_expr":{"type":"numeric_atoms","value":3947,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3891,"base":16}}},"used_operators":["W4YGzv6Whe","9FxExcQeMw","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1190","layer":2},{"info":"number node, value=3947","layer":2},{"info":"compute binary expreesion, left_input=1190, right_input=3947, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5546","layer":1},{"info":"number node, value=3891","layer":2},{"info":"compute unary expreesion, input=3891, 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=-5546, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬4A6⩷∴∃⊬F6B+(∃⊬F33∧)=NaN","reverse_text":"NaN=∃⊬4A6⩷∴∃⊬F6B+(∃⊬F33∧)","cot":[{"info":"∃⊬4A6⩷∴∃⊬F6B=∃⊬-15AA","layer":1},{"info":"∃⊬F33∧=NaN","layer":1},{"info":"∃⊬-15AA+NaN=NaN","layer":0}]}
+{"id":24,"expression_no_base_symbol":"(≤/$4655$)/$1398$⪛$4214$","expression":"(≤/∃⊬122F)/∃⊬576⪛∃⊬1076","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":4655,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1398,"base":16},"right_expr":{"type":"numeric_atoms","value":4214,"base":16}}},"used_operators":["XhwjNDsVaA","eLAdDNolq6","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬-3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4655","layer":2},{"info":"compute unary expreesion, input=4655, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4171","layer":1},{"info":"number node, value=1398","layer":2},{"info":"number node, value=4214","layer":2},{"info":"compute binary expreesion, left_input=1398, right_input=4214, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1398","layer":1},{"info":"compute binary expreesion, left_input=-4171, right_input=1398, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬122F)/∃⊬576⪛∃⊬1076=∃⊬-3","reverse_text":"∃⊬-3=(≤/∃⊬122F)/∃⊬576⪛∃⊬1076","cot":[{"info":"≤/∃⊬122F=∃⊬-104B","layer":1},{"info":"∃⊬576⪛∃⊬1076=∃⊬576","layer":1},{"info":"∃⊬-104B/∃⊬576=∃⊬-3","layer":0}]}
+{"id":25,"expression_no_base_symbol":"($2300$⨐⩸⫘$5741$)⨎($2892$⪨≂$4570$)","expression":"(∃⊬8FC⨐⩸⫘∃⊬166D)⨎(∃⊬B4C⪨≂∃⊬11DA)","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":2300,"base":16},"right_expr":{"type":"numeric_atoms","value":5741,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2892,"base":16},"right_expr":{"type":"numeric_atoms","value":4570,"base":16}}},"used_operators":["rJVOvQCfKK","fu6greOZ01","sdazOOVcIp"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-CB6","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2300","layer":2},{"info":"number node, value=5741","layer":2},{"info":"compute binary expreesion, left_input=2300, right_input=5741, 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=2892","layer":2},{"info":"number node, value=4570","layer":2},{"info":"compute binary expreesion, left_input=2892, right_input=4570, 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=-3254","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3254, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3254","layer":0}],"base":16,"result_base":16,"text":"(∃⊬8FC⨐⩸⫘∃⊬166D)⨎(∃⊬B4C⪨≂∃⊬11DA)=∃⊬-CB6","reverse_text":"∃⊬-CB6=(∃⊬8FC⨐⩸⫘∃⊬166D)⨎(∃⊬B4C⪨≂∃⊬11DA)","cot":[{"info":"∃⊬8FC⨐⩸⫘∃⊬166D=NaN","layer":1},{"info":"∃⊬B4C⪨≂∃⊬11DA=∃⊬-CB6","layer":1},{"info":"NaN⨎∃⊬-CB6=∃⊬-CB6","layer":0}]}
+{"id":26,"expression_no_base_symbol":"($7538$↪⪝)+⇶⊼($8451$∸)","expression":"(∃⊬1D72↪⪝)+⇶⊼(∃⊬2103∸)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":878,"operation_count":3,"complexity_ratio":292.6666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":7538,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":8451,"base":16}}},"used_operators":["TpPTUOHfaN","l07mrZUIn9","o20kRiQErp"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7538","layer":2},{"info":"compute unary expreesion, input=7538, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=461189916","layer":1},{"info":"number node, value=8451","layer":2},{"info":"compute unary expreesion, input=8451, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=461189916, right_input=177, 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":16,"result_base":16,"text":"(∃⊬1D72↪⪝)+⇶⊼(∃⊬2103∸)=NaN","reverse_text":"NaN=(∃⊬1D72↪⪝)+⇶⊼(∃⊬2103∸)","cot":[{"info":"∃⊬1D72↪⪝=∃⊬1B7D331C","layer":1},{"info":"∃⊬2103∸=∃⊬B1","layer":1},{"info":"∃⊬1B7D331C+⇶⊼∃⊬B1=NaN","layer":0}]}
+{"id":27,"expression_no_base_symbol":"$2890$⋓$1598$⋥≓≎$1813$⨟⋌⩍$1951$","expression":"∃⊬B4A⋓∃⊬63E⋥≓≎∃⊬715⨟⋌⩍∃⊬79F","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2890,"base":16},"right_expr":{"type":"numeric_atoms","value":1598,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1813,"base":16},"right_expr":{"type":"numeric_atoms","value":1951,"base":16}}},"used_operators":["Qy55tPpLXF","T2fj7uvVaJ","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2890","layer":2},{"info":"number node, value=1598","layer":2},{"info":"compute binary expreesion, left_input=2890, right_input=1598, 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=1813","layer":2},{"info":"number node, value=1951","layer":2},{"info":"compute binary expreesion, left_input=1813, right_input=1951, 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=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬B4A⋓∃⊬63E⋥≓≎∃⊬715⨟⋌⩍∃⊬79F=NaN","reverse_text":"NaN=∃⊬B4A⋓∃⊬63E⋥≓≎∃⊬715⨟⋌⩍∃⊬79F","cot":[{"info":"∃⊬B4A⋓∃⊬63E=∃⊬0","layer":1},{"info":"∃⊬715⨟⋌⩍∃⊬79F=NaN","layer":1},{"info":"∃⊬0⋥≓≎NaN=NaN","layer":0}]}
+{"id":28,"expression_no_base_symbol":"($3077$⨐⩸⫘$2569$)⩷∴($1123$≧⫂∧$8945$)","expression":"(∃⊬C05⨐⩸⫘∃⊬A09)⩷∴(∃⊬463≧⫂∧∃⊬22F1)","highest_n_order":4,"priority_hierarchical_complexity":2,"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":3077,"base":16},"right_expr":{"type":"numeric_atoms","value":2569,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1123,"base":16},"right_expr":{"type":"numeric_atoms","value":8945,"base":16}}},"used_operators":["9FxExcQeMw","fu6greOZ01","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3077","layer":2},{"info":"number node, value=2569","layer":2},{"info":"compute binary expreesion, left_input=3077, right_input=2569, 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=1123","layer":2},{"info":"number node, value=8945","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=8945, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8472","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8472, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C05⨐⩸⫘∃⊬A09)⩷∴(∃⊬463≧⫂∧∃⊬22F1)=NaN","reverse_text":"NaN=(∃⊬C05⨐⩸⫘∃⊬A09)⩷∴(∃⊬463≧⫂∧∃⊬22F1)","cot":[{"info":"∃⊬C05⨐⩸⫘∃⊬A09=NaN","layer":1},{"info":"∃⊬463≧⫂∧∃⊬22F1=∃⊬2118","layer":1},{"info":"NaN⩷∴∃⊬2118=NaN","layer":0}]}
+{"id":29,"expression_no_base_symbol":"(⩦⩻⨪$4845$)+$2526$⪒$2259$","expression":"(⩦⩻⨪∃⊬12ED)+∃⊬9DE⪒∃⊬8D3","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":4845,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2526,"base":16},"right_expr":{"type":"numeric_atoms","value":2259,"base":16}}},"used_operators":["W4YGzv6Whe","2td37pGCOC","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬3C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4845","layer":2},{"info":"compute unary expreesion, input=4845, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4845","layer":1},{"info":"number node, value=2526","layer":2},{"info":"number node, value=2259","layer":2},{"info":"compute binary expreesion, left_input=2526, right_input=2259, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4785","layer":1},{"info":"compute binary expreesion, left_input=4845, right_input=-4785, op_id = W4YGzv6Whe binary_op_definition= 'None', output=60","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪∃⊬12ED)+∃⊬9DE⪒∃⊬8D3=∃⊬3C","reverse_text":"∃⊬3C=(⩦⩻⨪∃⊬12ED)+∃⊬9DE⪒∃⊬8D3","cot":[{"info":"⩦⩻⨪∃⊬12ED=∃⊬12ED","layer":1},{"info":"∃⊬9DE⪒∃⊬8D3=∃⊬-12B1","layer":1},{"info":"∃⊬12ED+∃⊬-12B1=∃⊬3C","layer":0}]}
+{"id":30,"expression_no_base_symbol":"($1741$⊭↱$2541$)⩚⊴⇥($6078$⫥∨⫟$2899$)","expression":"(∃⊬6CD⊭↱∃⊬9ED)⩚⊴⇥(∃⊬17BE⫥∨⫟∃⊬B53)","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":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1741,"base":16},"right_expr":{"type":"numeric_atoms","value":2541,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6078,"base":16},"right_expr":{"type":"numeric_atoms","value":2899,"base":16}}},"used_operators":["NTOWxs364D","COABgblf1C","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1741","layer":2},{"info":"number node, value=2541","layer":2},{"info":"compute binary expreesion, left_input=1741, right_input=2541, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1605","layer":1},{"info":"number node, value=6078","layer":2},{"info":"number node, value=2899","layer":2},{"info":"compute binary expreesion, left_input=6078, right_input=2899, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1605, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6CD⊭↱∃⊬9ED)⩚⊴⇥(∃⊬17BE⫥∨⫟∃⊬B53)=NaN","reverse_text":"NaN=(∃⊬6CD⊭↱∃⊬9ED)⩚⊴⇥(∃⊬17BE⫥∨⫟∃⊬B53)","cot":[{"info":"∃⊬6CD⊭↱∃⊬9ED=∃⊬645","layer":1},{"info":"∃⊬17BE⫥∨⫟∃⊬B53=NaN","layer":1},{"info":"∃⊬645⩚⊴⇥NaN=NaN","layer":0}]}
+{"id":31,"expression_no_base_symbol":"⊄⩳↩($1008$⨵⪆$2551$)","expression":"⊄⩳↩(∃⊬3F0⨵⪆∃⊬9F7)","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":1008,"base":16},"right_expr":{"type":"numeric_atoms","value":2551,"base":16}}},"used_operators":["8w2t5hMYqp","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-1E0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":2},{"info":"number node, value=2551","layer":2},{"info":"compute binary expreesion, left_input=1008, right_input=2551, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-480","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(∃⊬3F0⨵⪆∃⊬9F7)=∃⊬-1E0","reverse_text":"∃⊬-1E0=⊄⩳↩(∃⊬3F0⨵⪆∃⊬9F7)","cot":[{"info":"∃⊬3F0⨵⪆∃⊬9F7=∃⊬A0","layer":1},{"info":"⊄⩳↩∃⊬A0=∃⊬-1E0","layer":0}]}
+{"id":32,"expression_no_base_symbol":"($2504$⫥∨⫟$2050$)≦≮≮","expression":"(∃⊬9C8⫥∨⫟∃⊬802)≦≮≮","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":2504,"base":16},"right_expr":{"type":"numeric_atoms","value":2050,"base":16}}},"used_operators":["D4vGDi5EA2","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2504","layer":2},{"info":"number node, value=2050","layer":2},{"info":"compute binary expreesion, left_input=2504, right_input=2050, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":16,"result_base":16,"text":"(∃⊬9C8⫥∨⫟∃⊬802)≦≮≮=NaN","reverse_text":"NaN=(∃⊬9C8⫥∨⫟∃⊬802)≦≮≮","cot":[{"info":"∃⊬9C8⫥∨⫟∃⊬802=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
+{"id":33,"expression_no_base_symbol":"(↣≠⋷$4075$)+⇶⊼(↥$2569$)","expression":"(↣≠⋷∃⊬FEB)+⇶⊼(↥∃⊬A09)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":432,"operation_count":3,"complexity_ratio":144.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4075,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2569,"base":16}}},"used_operators":["TpPTUOHfaN","Asc51vEJeQ","A8NUZmVepG"],"dependent_operators":["AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4075","layer":2},{"info":"compute unary expreesion, input=4075, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=2569","layer":2},{"info":"compute unary expreesion, input=2569, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19, 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":16,"result_base":16,"text":"(↣≠⋷∃⊬FEB)+⇶⊼(↥∃⊬A09)=NaN","reverse_text":"NaN=(↣≠⋷∃⊬FEB)+⇶⊼(↥∃⊬A09)","cot":[{"info":"↣≠⋷∃⊬FEB=NaN","layer":1},{"info":"↥∃⊬A09=∃⊬13","layer":1},{"info":"NaN+⇶⊼∃⊬13=NaN","layer":0}]}
+{"id":34,"expression_no_base_symbol":"$6037$+$2730$/$1077$⨰$3661$","expression":"∃⊬1795+∃⊬AAA/∃⊬435⨰∃⊬E4D","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":6037,"base":16},"right_expr":{"type":"numeric_atoms","value":2730,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1077,"base":16},"right_expr":{"type":"numeric_atoms","value":3661,"base":16}}},"used_operators":["XhwjNDsVaA","W4YGzv6Whe","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6037","layer":2},{"info":"number node, value=2730","layer":2},{"info":"compute binary expreesion, left_input=6037, right_input=2730, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8767","layer":1},{"info":"number node, value=1077","layer":2},{"info":"number node, value=3661","layer":2},{"info":"compute binary expreesion, left_input=1077, right_input=3661, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2574","layer":1},{"info":"compute binary expreesion, left_input=8767, right_input=-2574, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-4","layer":0}],"base":16,"result_base":16,"text":"∃⊬1795+∃⊬AAA/∃⊬435⨰∃⊬E4D=∃⊬-4","reverse_text":"∃⊬-4=∃⊬1795+∃⊬AAA/∃⊬435⨰∃⊬E4D","cot":[{"info":"∃⊬1795+∃⊬AAA=∃⊬223F","layer":1},{"info":"∃⊬435⨰∃⊬E4D=∃⊬-A0E","layer":1},{"info":"∃⊬223F/∃⊬-A0E=∃⊬-4","layer":0}]}
+{"id":35,"expression_no_base_symbol":"(⊥$9232$)≹⇙⪍($6080$⩨$2102$)","expression":"(⊥∃⊬2410)≹⇙⪍(∃⊬17C0⩨∃⊬836)","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":9232,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6080,"base":16},"right_expr":{"type":"numeric_atoms","value":2102,"base":16}}},"used_operators":["AHs5Up7iyr","Q3PJZHRvZv","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","fu6greOZ01","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=9232","layer":2},{"info":"compute unary expreesion, input=9232, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=6080","layer":2},{"info":"number node, value=2102","layer":2},{"info":"compute binary expreesion, left_input=6080, right_input=2102, 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=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊥∃⊬2410)≹⇙⪍(∃⊬17C0⩨∃⊬836)=NaN","reverse_text":"NaN=(⊥∃⊬2410)≹⇙⪍(∃⊬17C0⩨∃⊬836)","cot":[{"info":"⊥∃⊬2410=NaN","layer":1},{"info":"∃⊬17C0⩨∃⊬836=∃⊬0","layer":1},{"info":"NaN≹⇙⪍∃⊬0=NaN","layer":0}]}
+{"id":36,"expression_no_base_symbol":"⨞⊢$1122$⪮%⊝$1192$","expression":"⨞⊢∃⊬462⪮%⊝∃⊬4A8","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":1122,"base":16},"right_expr":{"type":"numeric_atoms","value":1192,"base":16}}},"used_operators":["xUOZtlo3hN","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬-AAE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":2},{"info":"number node, value=1192","layer":2},{"info":"compute binary expreesion, left_input=1122, right_input=1192, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2560","layer":1},{"info":"compute unary expreesion, input=2560, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2734","layer":0}],"base":16,"result_base":16,"text":"⨞⊢∃⊬462⪮%⊝∃⊬4A8=∃⊬-AAE","reverse_text":"∃⊬-AAE=⨞⊢∃⊬462⪮%⊝∃⊬4A8","cot":[{"info":"∃⊬462⪮%⊝∃⊬4A8=∃⊬A00","layer":1},{"info":"⨞⊢∃⊬A00=∃⊬-AAE","layer":0}]}
+{"id":37,"expression_no_base_symbol":"(↯⪼$1821$)⩷∴$7583$∼$1435$","expression":"(↯⪼∃⊬71D)⩷∴∃⊬1D9F∼∃⊬59B","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":187,"operation_count":3,"complexity_ratio":62.333333333333336,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1821,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7583,"base":16},"right_expr":{"type":"numeric_atoms","value":1435,"base":16}}},"used_operators":["9FxExcQeMw","8jW3W4yZS5","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1821","layer":2},{"info":"compute unary expreesion, input=1821, 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=7583","layer":2},{"info":"number node, value=1435","layer":2},{"info":"compute binary expreesion, left_input=7583, right_input=1435, 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=-21, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↯⪼∃⊬71D)⩷∴∃⊬1D9F∼∃⊬59B=NaN","reverse_text":"NaN=(↯⪼∃⊬71D)⩷∴∃⊬1D9F∼∃⊬59B","cot":[{"info":"↯⪼∃⊬71D=∃⊬-15","layer":1},{"info":"∃⊬1D9F∼∃⊬59B=NaN","layer":1},{"info":"∃⊬-15⩷∴NaN=NaN","layer":0}]}
+{"id":38,"expression_no_base_symbol":"⩦⩻⨪(⇁⨣⪵$6732$)","expression":"⩦⩻⨪(⇁⨣⪵∃⊬1A4C)","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":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6732,"base":16}}},"used_operators":["2td37pGCOC","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6732","layer":2},{"info":"compute unary expreesion, input=6732, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪(⇁⨣⪵∃⊬1A4C)=NaN","reverse_text":"NaN=⩦⩻⨪(⇁⨣⪵∃⊬1A4C)","cot":[{"info":"⇁⨣⪵∃⊬1A4C=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
+{"id":39,"expression_no_base_symbol":"≤/(↩$1006$)","expression":"≤/(↩∃⊬3EE)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":17,"operation_count":2,"complexity_ratio":8.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1006,"base":16}}},"used_operators":["eLAdDNolq6","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"∃⊬1678","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":2},{"info":"compute unary expreesion, input=1006, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5268","layer":1},{"info":"compute unary expreesion, input=-5268, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=5752","layer":0}],"base":16,"result_base":16,"text":"≤/(↩∃⊬3EE)=∃⊬1678","reverse_text":"∃⊬1678=≤/(↩∃⊬3EE)","cot":[{"info":"↩∃⊬3EE=∃⊬-1494","layer":1},{"info":"≤/∃⊬-1494=∃⊬1678","layer":0}]}
+{"id":40,"expression_no_base_symbol":"(⨈⫕$3397$)⨁⊸⫻","expression":"(⨈⫕∃⊬D45)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3397,"base":16}}},"used_operators":["glklzrTFfD","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬-2A","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3397","layer":2},{"info":"compute unary expreesion, input=3397, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-42","layer":0}],"base":16,"result_base":16,"text":"(⨈⫕∃⊬D45)⨁⊸⫻=∃⊬-2A","reverse_text":"∃⊬-2A=(⨈⫕∃⊬D45)⨁⊸⫻","cot":[{"info":"⨈⫕∃⊬D45=∃⊬-15","layer":1},{"info":"∃⊬-15⨁⊸⫻=∃⊬-2A","layer":0}]}
+{"id":41,"expression_no_base_symbol":"($2372$⩠)⪮%⊝(⩦⩻⨪$1891$)","expression":"(∃⊬944⩠)⪮%⊝(⩦⩻⨪∃⊬763)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2372,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1891,"base":16}}},"used_operators":["IWmyXbctLI","sJAwomhLZr","2td37pGCOC"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬13C","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2372","layer":2},{"info":"compute unary expreesion, input=2372, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1891","layer":2},{"info":"compute unary expreesion, input=1891, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1891","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1891, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":0}],"base":16,"result_base":16,"text":"(∃⊬944⩠)⪮%⊝(⩦⩻⨪∃⊬763)=∃⊬13C","reverse_text":"∃⊬13C=(∃⊬944⩠)⪮%⊝(⩦⩻⨪∃⊬763)","cot":[{"info":"∃⊬944⩠=∃⊬0","layer":1},{"info":"⩦⩻⨪∃⊬763=∃⊬763","layer":1},{"info":"∃⊬0⪮%⊝∃⊬763=∃⊬13C","layer":0}]}
+{"id":42,"expression_no_base_symbol":"⨵≀≌$6840$≧⫂∧$4519$","expression":"⨵≀≌∃⊬1AB8≧⫂∧∃⊬11A7","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":6840,"base":16},"right_expr":{"type":"numeric_atoms","value":4519,"base":16}}},"used_operators":["srAu1WTS94","Ph9nP6C5qx"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-2F6A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6840","layer":2},{"info":"number node, value=4519","layer":2},{"info":"compute binary expreesion, left_input=6840, right_input=4519, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4046","layer":1},{"info":"compute unary expreesion, input=4046, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12138","layer":0}],"base":16,"result_base":16,"text":"⨵≀≌∃⊬1AB8≧⫂∧∃⊬11A7=∃⊬-2F6A","reverse_text":"∃⊬-2F6A=⨵≀≌∃⊬1AB8≧⫂∧∃⊬11A7","cot":[{"info":"∃⊬1AB8≧⫂∧∃⊬11A7=∃⊬FCE","layer":1},{"info":"⨵≀≌∃⊬FCE=∃⊬-2F6A","layer":0}]}
+{"id":43,"expression_no_base_symbol":"($1818$⨳⩥⨓$2599$)≭$2965$⪢$3633$","expression":"(∃⊬71A⨳⩥⨓∃⊬A27)≭∃⊬B95⪢∃⊬E31","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3637,"operation_count":3,"complexity_ratio":1212.3333333333333,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1818,"base":16},"right_expr":{"type":"numeric_atoms","value":2599,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2965,"base":16},"right_expr":{"type":"numeric_atoms","value":3633,"base":16}}},"used_operators":["rxpJgHHUmx","nCS4ZIUYfx","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1818","layer":2},{"info":"number node, value=2599","layer":2},{"info":"compute binary expreesion, left_input=1818, right_input=2599, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=781","layer":1},{"info":"number node, value=2965","layer":2},{"info":"number node, value=3633","layer":2},{"info":"compute binary expreesion, left_input=2965, right_input=3633, 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=781, 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":16,"result_base":16,"text":"(∃⊬71A⨳⩥⨓∃⊬A27)≭∃⊬B95⪢∃⊬E31=NaN","reverse_text":"NaN=(∃⊬71A⨳⩥⨓∃⊬A27)≭∃⊬B95⪢∃⊬E31","cot":[{"info":"∃⊬71A⨳⩥⨓∃⊬A27=∃⊬30D","layer":1},{"info":"∃⊬B95⪢∃⊬E31=NaN","layer":1},{"info":"∃⊬30D≭NaN=NaN","layer":0}]}
+{"id":44,"expression_no_base_symbol":"(∥⊫$2236$)/$1306$⋝⋈⪟$8370$","expression":"(∥⊫∃⊬8BC)/∃⊬51A⋝⋈⪟∃⊬20B2","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":2236,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1306,"base":16},"right_expr":{"type":"numeric_atoms","value":8370,"base":16}}},"used_operators":["XhwjNDsVaA","P8v4zCKN1o","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2236","layer":2},{"info":"compute unary expreesion, input=2236, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3104","layer":1},{"info":"number node, value=1306","layer":2},{"info":"number node, value=8370","layer":2},{"info":"compute binary expreesion, left_input=1306, right_input=8370, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1306","layer":1},{"info":"compute binary expreesion, left_input=3104, right_input=1306, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":0}],"base":16,"result_base":16,"text":"(∥⊫∃⊬8BC)/∃⊬51A⋝⋈⪟∃⊬20B2=∃⊬2","reverse_text":"∃⊬2=(∥⊫∃⊬8BC)/∃⊬51A⋝⋈⪟∃⊬20B2","cot":[{"info":"∥⊫∃⊬8BC=∃⊬C20","layer":1},{"info":"∃⊬51A⋝⋈⪟∃⊬20B2=∃⊬51A","layer":1},{"info":"∃⊬C20/∃⊬51A=∃⊬2","layer":0}]}
+{"id":45,"expression_no_base_symbol":"≦∁$5675$∼$1312$","expression":"≦∁∃⊬162B∼∃⊬520","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":114,"operation_count":2,"complexity_ratio":57.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5675,"base":16},"right_expr":{"type":"numeric_atoms","value":1312,"base":16}}},"used_operators":["9ICcGScMcE","DyGG3AbaNP"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5675","layer":2},{"info":"number node, value=1312","layer":2},{"info":"compute binary expreesion, left_input=5675, right_input=1312, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≦∁∃⊬162B∼∃⊬520=NaN","reverse_text":"NaN=≦∁∃⊬162B∼∃⊬520","cot":[{"info":"∃⊬162B∼∃⊬520=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
+{"id":46,"expression_no_base_symbol":"$4283$⩷∴$1736$⋳⪒$6792$≹⇙⪍$1272$","expression":"∃⊬10BB⩷∴∃⊬6C8⋳⪒∃⊬1A88≹⇙⪍∃⊬4F8","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":4283,"base":16},"right_expr":{"type":"numeric_atoms","value":1736,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6792,"base":16},"right_expr":{"type":"numeric_atoms","value":1272,"base":16}}},"used_operators":["12rbrZMWeM","9FxExcQeMw","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4283","layer":2},{"info":"number node, value=1736","layer":2},{"info":"compute binary expreesion, left_input=4283, right_input=1736, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5062","layer":1},{"info":"number node, value=6792","layer":2},{"info":"number node, value=1272","layer":2},{"info":"compute binary expreesion, left_input=6792, right_input=1272, 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=5062, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬10BB⩷∴∃⊬6C8⋳⪒∃⊬1A88≹⇙⪍∃⊬4F8=NaN","reverse_text":"NaN=∃⊬10BB⩷∴∃⊬6C8⋳⪒∃⊬1A88≹⇙⪍∃⊬4F8","cot":[{"info":"∃⊬10BB⩷∴∃⊬6C8=∃⊬13C6","layer":1},{"info":"∃⊬1A88≹⇙⪍∃⊬4F8=NaN","layer":1},{"info":"∃⊬13C6⋳⪒NaN=NaN","layer":0}]}
+{"id":47,"expression_no_base_symbol":"$5689$⋝⋈⪟$2468$*$2160$≧⫂∧$5236$","expression":"∃⊬1639⋝⋈⪟∃⊬9A4*∃⊬870≧⫂∧∃⊬1474","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4767,"operation_count":3,"complexity_ratio":1589.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5689,"base":16},"right_expr":{"type":"numeric_atoms","value":2468,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2160,"base":16},"right_expr":{"type":"numeric_atoms","value":5236,"base":16}}},"used_operators":["9HNa5Wba9A","2DDjHMKMc0","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬19D7683","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5689","layer":2},{"info":"number node, value=2468","layer":2},{"info":"compute binary expreesion, left_input=5689, right_input=2468, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5689","layer":1},{"info":"number node, value=2160","layer":2},{"info":"number node, value=5236","layer":2},{"info":"compute binary expreesion, left_input=2160, right_input=5236, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4763","layer":1},{"info":"compute binary expreesion, left_input=5689, right_input=4763, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=27096707","layer":0}],"base":16,"result_base":16,"text":"∃⊬1639⋝⋈⪟∃⊬9A4*∃⊬870≧⫂∧∃⊬1474=∃⊬19D7683","reverse_text":"∃⊬19D7683=∃⊬1639⋝⋈⪟∃⊬9A4*∃⊬870≧⫂∧∃⊬1474","cot":[{"info":"∃⊬1639⋝⋈⪟∃⊬9A4=∃⊬1639","layer":1},{"info":"∃⊬870≧⫂∧∃⊬1474=∃⊬129B","layer":1},{"info":"∃⊬1639*∃⊬129B=∃⊬19D7683","layer":0}]}
+{"id":48,"expression_no_base_symbol":"$2926$⨽$1484$⊠≄⫣","expression":"∃⊬B6E⨽∃⊬5CC⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2938,"operation_count":2,"complexity_ratio":1469.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2926,"base":16},"right_expr":{"type":"numeric_atoms","value":1484,"base":16}}},"used_operators":["DIvbN7qnHd","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2926","layer":2},{"info":"number node, value=1484","layer":2},{"info":"compute binary expreesion, left_input=2926, right_input=1484, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25687566","layer":1},{"info":"compute unary expreesion, input=-25687566, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬B6E⨽∃⊬5CC⊠≄⫣=∃⊬0","reverse_text":"∃⊬0=∃⊬B6E⨽∃⊬5CC⊠≄⫣","cot":[{"info":"∃⊬B6E⨽∃⊬5CC=∃⊬-187F60E","layer":1},{"info":"∃⊬-187F60E⊠≄⫣=∃⊬0","layer":0}]}
+{"id":49,"expression_no_base_symbol":"($2863$≭$1061$)⨟⋌⩍($3013$⨎$1047$)","expression":"(∃⊬B2F≭∃⊬425)⨟⋌⩍(∃⊬BC5⨎∃⊬417)","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":2863,"base":16},"right_expr":{"type":"numeric_atoms","value":1061,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3013,"base":16},"right_expr":{"type":"numeric_atoms","value":1047,"base":16}}},"used_operators":["rGHVDoGpnC","rxpJgHHUmx","rJVOvQCfKK"],"dependent_operators":["Tcnh7f0tEr","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2863","layer":2},{"info":"number node, value=1061","layer":2},{"info":"compute binary expreesion, left_input=2863, right_input=1061, 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=3013","layer":2},{"info":"number node, value=1047","layer":2},{"info":"compute binary expreesion, left_input=3013, right_input=1047, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1047","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1047, 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":16,"result_base":16,"text":"(∃⊬B2F≭∃⊬425)⨟⋌⩍(∃⊬BC5⨎∃⊬417)=NaN","reverse_text":"NaN=(∃⊬B2F≭∃⊬425)⨟⋌⩍(∃⊬BC5⨎∃⊬417)","cot":[{"info":"∃⊬B2F≭∃⊬425=NaN","layer":1},{"info":"∃⊬BC5⨎∃⊬417=∃⊬417","layer":1},{"info":"NaN⨟⋌⩍∃⊬417=NaN","layer":0}]}
+{"id":50,"expression_no_base_symbol":"$2013$⪢$4564$⊉≛↸$3068$↙$1266$","expression":"∃⊬7DD⪢∃⊬11D4⊉≛↸∃⊬BFC↙∃⊬4F2","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5835,"operation_count":3,"complexity_ratio":1945.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2013,"base":16},"right_expr":{"type":"numeric_atoms","value":4564,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3068,"base":16},"right_expr":{"type":"numeric_atoms","value":1266,"base":16}}},"used_operators":["DZ8iAZOCBD","dWAJyo7jo9","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2013","layer":2},{"info":"number node, value=4564","layer":2},{"info":"compute binary expreesion, left_input=2013, right_input=4564, 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=3068","layer":2},{"info":"number node, value=1266","layer":2},{"info":"compute binary expreesion, left_input=3068, right_input=1266, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3798","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3798, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬7DD⪢∃⊬11D4⊉≛↸∃⊬BFC↙∃⊬4F2=NaN","reverse_text":"NaN=∃⊬7DD⪢∃⊬11D4⊉≛↸∃⊬BFC↙∃⊬4F2","cot":[{"info":"∃⊬7DD⪢∃⊬11D4=NaN","layer":1},{"info":"∃⊬BFC↙∃⊬4F2=∃⊬-ED6","layer":1},{"info":"NaN⊉≛↸∃⊬-ED6=NaN","layer":0}]}
+{"id":51,"expression_no_base_symbol":"($5699$∲⫓$3951$)⫥∨⫟(↯⪼$5527$)","expression":"(∃⊬1643∲⫓∃⊬F6F)⫥∨⫟(↯⪼∃⊬1597)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":187,"operation_count":3,"complexity_ratio":62.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5699,"base":16},"right_expr":{"type":"numeric_atoms","value":3951,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5527,"base":16}}},"used_operators":["KYD54nUTWz","i8ToyICDmI","8jW3W4yZS5"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5699","layer":2},{"info":"number node, value=3951","layer":2},{"info":"compute binary expreesion, left_input=5699, right_input=3951, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=5527","layer":2},{"info":"compute unary expreesion, input=5527, 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=0, right_input=-21, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1643∲⫓∃⊬F6F)⫥∨⫟(↯⪼∃⊬1597)=NaN","reverse_text":"NaN=(∃⊬1643∲⫓∃⊬F6F)⫥∨⫟(↯⪼∃⊬1597)","cot":[{"info":"∃⊬1643∲⫓∃⊬F6F=∃⊬0","layer":1},{"info":"↯⪼∃⊬1597=∃⊬-15","layer":1},{"info":"∃⊬0⫥∨⫟∃⊬-15=NaN","layer":0}]}
+{"id":52,"expression_no_base_symbol":"$1332$≎⊠⪸$1148$*$1613$⋝⋈⪟$1237$","expression":"∃⊬534≎⊠⪸∃⊬47C*∃⊬64D⋝⋈⪟∃⊬4D5","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1886,"operation_count":3,"complexity_ratio":628.6666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1332,"base":16},"right_expr":{"type":"numeric_atoms","value":1148,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1613,"base":16},"right_expr":{"type":"numeric_atoms","value":1237,"base":16}}},"used_operators":["9HNa5Wba9A","bJkvcejdHO","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬211F59A7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1332","layer":2},{"info":"number node, value=1148","layer":2},{"info":"compute binary expreesion, left_input=1332, right_input=1148, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=344515","layer":1},{"info":"number node, value=1613","layer":2},{"info":"number node, value=1237","layer":2},{"info":"compute binary expreesion, left_input=1613, right_input=1237, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1613","layer":1},{"info":"compute binary expreesion, left_input=344515, right_input=1613, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=555702695","layer":0}],"base":16,"result_base":16,"text":"∃⊬534≎⊠⪸∃⊬47C*∃⊬64D⋝⋈⪟∃⊬4D5=∃⊬211F59A7","reverse_text":"∃⊬211F59A7=∃⊬534≎⊠⪸∃⊬47C*∃⊬64D⋝⋈⪟∃⊬4D5","cot":[{"info":"∃⊬534≎⊠⪸∃⊬47C=∃⊬541C3","layer":1},{"info":"∃⊬64D⋝⋈⪟∃⊬4D5=∃⊬64D","layer":1},{"info":"∃⊬541C3*∃⊬64D=∃⊬211F59A7","layer":0}]}
+{"id":53,"expression_no_base_symbol":"$2767$⩚⊴⇥$1243$⨐⩸⫘$4714$⋳⪒$1615$","expression":"∃⊬ACF⩚⊴⇥∃⊬4DB⨐⩸⫘∃⊬126A⋳⪒∃⊬64F","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":2767,"base":16},"right_expr":{"type":"numeric_atoms","value":1243,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4714,"base":16},"right_expr":{"type":"numeric_atoms","value":1615,"base":16}}},"used_operators":["fu6greOZ01","NTOWxs364D","12rbrZMWeM"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2767","layer":2},{"info":"number node, value=1243","layer":2},{"info":"compute binary expreesion, left_input=2767, right_input=1243, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4131","layer":1},{"info":"number node, value=4714","layer":2},{"info":"number node, value=1615","layer":2},{"info":"compute binary expreesion, left_input=4714, right_input=1615, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7526","layer":1},{"info":"compute binary expreesion, left_input=-4131, right_input=7526, 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":16,"result_base":16,"text":"∃⊬ACF⩚⊴⇥∃⊬4DB⨐⩸⫘∃⊬126A⋳⪒∃⊬64F=NaN","reverse_text":"NaN=∃⊬ACF⩚⊴⇥∃⊬4DB⨐⩸⫘∃⊬126A⋳⪒∃⊬64F","cot":[{"info":"∃⊬ACF⩚⊴⇥∃⊬4DB=∃⊬-1023","layer":1},{"info":"∃⊬126A⋳⪒∃⊬64F=∃⊬1D66","layer":1},{"info":"∃⊬-1023⨐⩸⫘∃⊬1D66=NaN","layer":0}]}
+{"id":54,"expression_no_base_symbol":"($3335$⊪)⨵⪆($1372$⪠⩆⊳)","expression":"(∃⊬D07⊪)⨵⪆(∃⊬55C⪠⩆⊳)","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":3335,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1372,"base":16}}},"used_operators":["2DQ55sFlQl","zVYPLywUTj","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3335","layer":2},{"info":"compute unary expreesion, input=3335, 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=1372","layer":2},{"info":"compute unary expreesion, input=1372, 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=0, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D07⊪)⨵⪆(∃⊬55C⪠⩆⊳)=∃⊬A0","reverse_text":"∃⊬A0=(∃⊬D07⊪)⨵⪆(∃⊬55C⪠⩆⊳)","cot":[{"info":"∃⊬D07⊪=∃⊬0","layer":1},{"info":"∃⊬55C⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬0⨵⪆∃⊬0=∃⊬A0","layer":0}]}
+{"id":55,"expression_no_base_symbol":"⊥($3952$⊪)","expression":"⊥(∃⊬F70⊪)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3952,"base":16}}},"used_operators":["Q3PJZHRvZv","zVYPLywUTj"],"dependent_operators":["fu6greOZ01","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3952","layer":2},{"info":"compute unary expreesion, input=3952, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬F70⊪)=∃⊬0","reverse_text":"∃⊬0=⊥(∃⊬F70⊪)","cot":[{"info":"∃⊬F70⊪=∃⊬0","layer":1},{"info":"⊥∃⊬0=∃⊬0","layer":0}]}
+{"id":56,"expression_no_base_symbol":"$3235$⨎$1015$⪄$2093$⋝⋈⪟$2900$","expression":"∃⊬CA3⨎∃⊬3F7⪄∃⊬82D⋝⋈⪟∃⊬B54","highest_n_order":2,"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":3235,"base":16},"right_expr":{"type":"numeric_atoms","value":1015,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2093,"base":16},"right_expr":{"type":"numeric_atoms","value":2900,"base":16}}},"used_operators":["SUmda5xLS4","rJVOvQCfKK","2DDjHMKMc0"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-25C39","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3235","layer":2},{"info":"number node, value=1015","layer":2},{"info":"compute binary expreesion, left_input=3235, right_input=1015, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1015","layer":1},{"info":"number node, value=2093","layer":2},{"info":"number node, value=2900","layer":2},{"info":"compute binary expreesion, left_input=2093, right_input=2900, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2093","layer":1},{"info":"compute binary expreesion, left_input=1015, right_input=2093, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-154681","layer":0}],"base":16,"result_base":16,"text":"∃⊬CA3⨎∃⊬3F7⪄∃⊬82D⋝⋈⪟∃⊬B54=∃⊬-25C39","reverse_text":"∃⊬-25C39=∃⊬CA3⨎∃⊬3F7⪄∃⊬82D⋝⋈⪟∃⊬B54","cot":[{"info":"∃⊬CA3⨎∃⊬3F7=∃⊬3F7","layer":1},{"info":"∃⊬82D⋝⋈⪟∃⊬B54=∃⊬82D","layer":1},{"info":"∃⊬3F7⪄∃⊬82D=∃⊬-25C39","layer":0}]}
+{"id":57,"expression_no_base_symbol":"(⊄⩳↩$3645$)∲⫓(⊙↵-$2412$)","expression":"(⊄⩳↩∃⊬E3D)∲⫓(⊙↵-∃⊬96C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2462,"operation_count":3,"complexity_ratio":820.6666666666666,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3645,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2412,"base":16}}},"used_operators":["i8ToyICDmI","8w2t5hMYqp","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬-2AB7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3645","layer":2},{"info":"compute unary expreesion, input=3645, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10935","layer":1},{"info":"number node, value=2412","layer":2},{"info":"compute unary expreesion, input=2412, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-10935, right_input=-1, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-10935","layer":0}],"base":16,"result_base":16,"text":"(⊄⩳↩∃⊬E3D)∲⫓(⊙↵-∃⊬96C)=∃⊬-2AB7","reverse_text":"∃⊬-2AB7=(⊄⩳↩∃⊬E3D)∲⫓(⊙↵-∃⊬96C)","cot":[{"info":"⊄⩳↩∃⊬E3D=∃⊬-2AB7","layer":1},{"info":"⊙↵-∃⊬96C=∃⊬-1","layer":1},{"info":"∃⊬-2AB7∲⫓∃⊬-1=∃⊬-2AB7","layer":0}]}
+{"id":58,"expression_no_base_symbol":"($2828$⊉≛↸$4881$)⪐","expression":"(∃⊬B0C⊉≛↸∃⊬1311)⪐","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":2828,"base":16},"right_expr":{"type":"numeric_atoms","value":4881,"base":16}}},"used_operators":["eH2TOUuTDT","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬2C30","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2828","layer":2},{"info":"number node, value=4881","layer":2},{"info":"compute binary expreesion, left_input=2828, right_input=4881, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5656","layer":1},{"info":"compute unary expreesion, input=5656, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=11312","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B0C⊉≛↸∃⊬1311)⪐=∃⊬2C30","reverse_text":"∃⊬2C30=(∃⊬B0C⊉≛↸∃⊬1311)⪐","cot":[{"info":"∃⊬B0C⊉≛↸∃⊬1311=∃⊬1618","layer":1},{"info":"∃⊬1618⪐=∃⊬2C30","layer":0}]}
+{"id":59,"expression_no_base_symbol":"⊥($4717$/$7062$)","expression":"⊥(∃⊬126D/∃⊬1B96)","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":4717,"base":16},"right_expr":{"type":"numeric_atoms","value":7062,"base":16}}},"used_operators":["Q3PJZHRvZv","XhwjNDsVaA"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4717","layer":2},{"info":"number node, value=7062","layer":2},{"info":"compute binary expreesion, left_input=4717, right_input=7062, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬126D/∃⊬1B96)=∃⊬0","reverse_text":"∃⊬0=⊥(∃⊬126D/∃⊬1B96)","cot":[{"info":"∃⊬126D/∃⊬1B96=∃⊬0","layer":1},{"info":"⊥∃⊬0=∃⊬0","layer":0}]}
+{"id":60,"expression_no_base_symbol":"$3301$⪨≂$1505$/(↽≂$5098$)","expression":"∃⊬CE5⪨≂∃⊬5E1/(↽≂∃⊬13EA)","highest_n_order":2,"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":3301,"base":16},"right_expr":{"type":"numeric_atoms","value":1505,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5098,"base":16}}},"used_operators":["XhwjNDsVaA","sdazOOVcIp","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3301","layer":2},{"info":"number node, value=1505","layer":2},{"info":"compute binary expreesion, left_input=3301, right_input=1505, 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=3694","layer":1},{"info":"number node, value=5098","layer":2},{"info":"compute unary expreesion, input=5098, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10196","layer":1},{"info":"compute binary expreesion, left_input=3694, right_input=-10196, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":16,"result_base":16,"text":"∃⊬CE5⪨≂∃⊬5E1/(↽≂∃⊬13EA)=∃⊬-1","reverse_text":"∃⊬-1=∃⊬CE5⪨≂∃⊬5E1/(↽≂∃⊬13EA)","cot":[{"info":"∃⊬CE5⪨≂∃⊬5E1=∃⊬E6E","layer":1},{"info":"↽≂∃⊬13EA=∃⊬-27D4","layer":1},{"info":"∃⊬E6E/∃⊬-27D4=∃⊬-1","layer":0}]}
+{"id":61,"expression_no_base_symbol":"$1924$∑⇟⊟$1671$⨰($4640$⋥≓≎$2842$)","expression":"∃⊬784∑⇟⊟∃⊬687⨰(∃⊬1220⋥≓≎∃⊬B1A)","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":1924,"base":16},"right_expr":{"type":"numeric_atoms","value":1671,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4640,"base":16},"right_expr":{"type":"numeric_atoms","value":2842,"base":16}}},"used_operators":["eewbuw0ToL","U7g4x0WXJJ","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1924","layer":2},{"info":"number node, value=1671","layer":2},{"info":"compute binary expreesion, left_input=1924, right_input=1671, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4640","layer":2},{"info":"number node, value=2842","layer":2},{"info":"compute binary expreesion, left_input=4640, right_input=2842, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1077","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1077, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬784∑⇟⊟∃⊬687⨰(∃⊬1220⋥≓≎∃⊬B1A)=NaN","reverse_text":"NaN=∃⊬784∑⇟⊟∃⊬687⨰(∃⊬1220⋥≓≎∃⊬B1A)","cot":[{"info":"∃⊬784∑⇟⊟∃⊬687=NaN","layer":1},{"info":"∃⊬1220⋥≓≎∃⊬B1A=∃⊬435","layer":1},{"info":"NaN⨰∃⊬435=NaN","layer":0}]}
+{"id":62,"expression_no_base_symbol":"($1324$⪢$1524$)∧","expression":"(∃⊬52C⪢∃⊬5F4)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1532,"operation_count":2,"complexity_ratio":766.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1324,"base":16},"right_expr":{"type":"numeric_atoms","value":1524,"base":16}}},"used_operators":["z63VuFQld9","dWAJyo7jo9"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1324","layer":2},{"info":"number node, value=1524","layer":2},{"info":"compute binary expreesion, left_input=1324, right_input=1524, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬52C⪢∃⊬5F4)∧=NaN","reverse_text":"NaN=(∃⊬52C⪢∃⊬5F4)∧","cot":[{"info":"∃⊬52C⪢∃⊬5F4=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
+{"id":63,"expression_no_base_symbol":"($2131$⪘⫢$1068$)⪘⫢$1578$⪢$4649$","expression":"(∃⊬853⪘⫢∃⊬42C)⪘⫢∃⊬62A⪢∃⊬1229","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4673,"operation_count":3,"complexity_ratio":1557.6666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2131,"base":16},"right_expr":{"type":"numeric_atoms","value":1068,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1578,"base":16},"right_expr":{"type":"numeric_atoms","value":4649,"base":16}}},"used_operators":["oacrs7FA3X","dWAJyo7jo9"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2131","layer":2},{"info":"number node, value=1068","layer":2},{"info":"compute binary expreesion, left_input=2131, right_input=1068, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4138","layer":1},{"info":"number node, value=1578","layer":2},{"info":"number node, value=4649","layer":2},{"info":"compute binary expreesion, left_input=1578, right_input=4649, 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=4138, 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":16,"result_base":16,"text":"(∃⊬853⪘⫢∃⊬42C)⪘⫢∃⊬62A⪢∃⊬1229=NaN","reverse_text":"NaN=(∃⊬853⪘⫢∃⊬42C)⪘⫢∃⊬62A⪢∃⊬1229","cot":[{"info":"∃⊬853⪘⫢∃⊬42C=∃⊬102A","layer":1},{"info":"∃⊬62A⪢∃⊬1229=NaN","layer":1},{"info":"∃⊬102A⪘⫢NaN=NaN","layer":0}]}
+{"id":64,"expression_no_base_symbol":"($4572$⪄$5484$)⩚⊴⇥($1455$⪨≂$2560$)","expression":"(∃⊬11DC⪄∃⊬156C)⩚⊴⇥(∃⊬5AF⪨≂∃⊬A00)","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":4572,"base":16},"right_expr":{"type":"numeric_atoms","value":5484,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1455,"base":16},"right_expr":{"type":"numeric_atoms","value":2560,"base":16}}},"used_operators":["NTOWxs364D","SUmda5xLS4","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬AA15C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4572","layer":2},{"info":"number node, value=5484","layer":2},{"info":"compute binary expreesion, left_input=4572, right_input=5484, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-694681","layer":1},{"info":"number node, value=1455","layer":2},{"info":"number node, value=2560","layer":2},{"info":"compute binary expreesion, left_input=1455, right_input=2560, 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=-2108","layer":1},{"info":"compute binary expreesion, left_input=-694681, right_input=-2108, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=696668","layer":0}],"base":16,"result_base":16,"text":"(∃⊬11DC⪄∃⊬156C)⩚⊴⇥(∃⊬5AF⪨≂∃⊬A00)=∃⊬AA15C","reverse_text":"∃⊬AA15C=(∃⊬11DC⪄∃⊬156C)⩚⊴⇥(∃⊬5AF⪨≂∃⊬A00)","cot":[{"info":"∃⊬11DC⪄∃⊬156C=∃⊬-A9999","layer":1},{"info":"∃⊬5AF⪨≂∃⊬A00=∃⊬-83C","layer":1},{"info":"∃⊬-A9999⩚⊴⇥∃⊬-83C=∃⊬AA15C","layer":0}]}
+{"id":65,"expression_no_base_symbol":"(↥$3755$)⪄($1381$⋷$4094$)","expression":"(↥∃⊬EAB)⪄(∃⊬565⋷∃⊬FFE)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":131,"operation_count":3,"complexity_ratio":43.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3755,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1381,"base":16},"right_expr":{"type":"numeric_atoms","value":4094,"base":16}}},"used_operators":["SUmda5xLS4","A8NUZmVepG","23Mk6UjR3U"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-6D95","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3755","layer":2},{"info":"compute unary expreesion, input=3755, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=32","layer":1},{"info":"number node, value=1381","layer":2},{"info":"number node, value=4094","layer":2},{"info":"compute binary expreesion, left_input=1381, right_input=4094, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6807","layer":1},{"info":"compute binary expreesion, left_input=32, right_input=6807, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-28053","layer":0}],"base":16,"result_base":16,"text":"(↥∃⊬EAB)⪄(∃⊬565⋷∃⊬FFE)=∃⊬-6D95","reverse_text":"∃⊬-6D95=(↥∃⊬EAB)⪄(∃⊬565⋷∃⊬FFE)","cot":[{"info":"↥∃⊬EAB=∃⊬20","layer":1},{"info":"∃⊬565⋷∃⊬FFE=∃⊬1A97","layer":1},{"info":"∃⊬20⪄∃⊬1A97=∃⊬-6D95","layer":0}]}
+{"id":66,"expression_no_base_symbol":"($1055$⨎$3476$)⨰($2685$+$1795$)","expression":"(∃⊬41F⨎∃⊬D94)⨰(∃⊬A7D+∃⊬703)","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":1055,"base":16},"right_expr":{"type":"numeric_atoms","value":3476,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2685,"base":16},"right_expr":{"type":"numeric_atoms","value":1795,"base":16}}},"used_operators":["eewbuw0ToL","rJVOvQCfKK","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬-3E2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":2},{"info":"number node, value=3476","layer":2},{"info":"compute binary expreesion, left_input=1055, right_input=3476, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3476","layer":1},{"info":"number node, value=2685","layer":2},{"info":"number node, value=1795","layer":2},{"info":"compute binary expreesion, left_input=2685, right_input=1795, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4480","layer":1},{"info":"compute binary expreesion, left_input=3476, right_input=4480, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-994","layer":0}],"base":16,"result_base":16,"text":"(∃⊬41F⨎∃⊬D94)⨰(∃⊬A7D+∃⊬703)=∃⊬-3E2","reverse_text":"∃⊬-3E2=(∃⊬41F⨎∃⊬D94)⨰(∃⊬A7D+∃⊬703)","cot":[{"info":"∃⊬41F⨎∃⊬D94=∃⊬D94","layer":1},{"info":"∃⊬A7D+∃⊬703=∃⊬1180","layer":1},{"info":"∃⊬D94⨰∃⊬1180=∃⊬-3E2","layer":0}]}
+{"id":67,"expression_no_base_symbol":"⊥(⊙↵-$3009$)","expression":"⊥(⊙↵-∃⊬BC1)","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":3062,"operation_count":2,"complexity_ratio":1531.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3009,"base":16}}},"used_operators":["Q3PJZHRvZv","oWn0xqSxBt"],"dependent_operators":["fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬4","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3009","layer":2},{"info":"compute unary expreesion, input=3009, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=4","layer":0}],"base":16,"result_base":16,"text":"⊥(⊙↵-∃⊬BC1)=∃⊬4","reverse_text":"∃⊬4=⊥(⊙↵-∃⊬BC1)","cot":[{"info":"⊙↵-∃⊬BC1=∃⊬-1","layer":1},{"info":"⊥∃⊬-1=∃⊬4","layer":0}]}
+{"id":68,"expression_no_base_symbol":"($4857$⊘)⋥≓≎($2446$↙$2508$)","expression":"(∃⊬12F9⊘)⋥≓≎(∃⊬98E↙∃⊬9CC)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2534,"operation_count":3,"complexity_ratio":844.6666666666666,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4857,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2446,"base":16},"right_expr":{"type":"numeric_atoms","value":2508,"base":16}}},"used_operators":["Qy55tPpLXF","gu96TGCTMs","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬-3AA7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4857","layer":2},{"info":"compute unary expreesion, input=4857, 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=2446","layer":2},{"info":"number node, value=2508","layer":2},{"info":"compute binary expreesion, left_input=2446, right_input=2508, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7524","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-7524, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-15015","layer":0}],"base":16,"result_base":16,"text":"(∃⊬12F9⊘)⋥≓≎(∃⊬98E↙∃⊬9CC)=∃⊬-3AA7","reverse_text":"∃⊬-3AA7=(∃⊬12F9⊘)⋥≓≎(∃⊬98E↙∃⊬9CC)","cot":[{"info":"∃⊬12F9⊘=∃⊬0","layer":1},{"info":"∃⊬98E↙∃⊬9CC=∃⊬-1D64","layer":1},{"info":"∃⊬0⋥≓≎∃⊬-1D64=∃⊬-3AA7","layer":0}]}
+{"id":69,"expression_no_base_symbol":"($4418$/$3370$)⨪↰⇹($1222$⨎$1080$)","expression":"(∃⊬1142/∃⊬D2A)⨪↰⇹(∃⊬4C6⨎∃⊬438)","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":4418,"base":16},"right_expr":{"type":"numeric_atoms","value":3370,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1222,"base":16},"right_expr":{"type":"numeric_atoms","value":1080,"base":16}}},"used_operators":["tmPS8pqC7x","XhwjNDsVaA","rJVOvQCfKK"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬1","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4418","layer":2},{"info":"number node, value=3370","layer":2},{"info":"compute binary expreesion, left_input=4418, right_input=3370, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=1222","layer":2},{"info":"number node, value=1080","layer":2},{"info":"compute binary expreesion, left_input=1222, right_input=1080, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1080","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=1080, 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=1","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1142/∃⊬D2A)⨪↰⇹(∃⊬4C6⨎∃⊬438)=∃⊬1","reverse_text":"∃⊬1=(∃⊬1142/∃⊬D2A)⨪↰⇹(∃⊬4C6⨎∃⊬438)","cot":[{"info":"∃⊬1142/∃⊬D2A=∃⊬1","layer":1},{"info":"∃⊬4C6⨎∃⊬438=∃⊬438","layer":1},{"info":"∃⊬1⨪↰⇹∃⊬438=∃⊬1","layer":0}]}
+{"id":70,"expression_no_base_symbol":"(⪝⪂⫅$1487$)⩨$1777$⨓$4433$","expression":"(⪝⪂⫅∃⊬5CF)⩨∃⊬6F1⨓∃⊬1151","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4593,"operation_count":3,"complexity_ratio":1531.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1487,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1777,"base":16},"right_expr":{"type":"numeric_atoms","value":4433,"base":16}}},"used_operators":["2DlMacCsIx","XTarYq4gQB","3ViojmjbAp"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1487","layer":2},{"info":"compute unary expreesion, input=1487, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-218589","layer":1},{"info":"number node, value=1777","layer":2},{"info":"number node, value=4433","layer":2},{"info":"compute binary expreesion, left_input=1777, right_input=4433, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4436","layer":1},{"info":"compute binary expreesion, left_input=-218589, right_input=-4436, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅∃⊬5CF)⩨∃⊬6F1⨓∃⊬1151=∃⊬0","reverse_text":"∃⊬0=(⪝⪂⫅∃⊬5CF)⩨∃⊬6F1⨓∃⊬1151","cot":[{"info":"⪝⪂⫅∃⊬5CF=∃⊬-355DD","layer":1},{"info":"∃⊬6F1⨓∃⊬1151=∃⊬-1154","layer":1},{"info":"∃⊬-355DD⩨∃⊬-1154=∃⊬0","layer":0}]}
+{"id":71,"expression_no_base_symbol":"($1556$∸)≹⇙⪍($1123$⊉≛↸$1518$)","expression":"(∃⊬614∸)≹⇙⪍(∃⊬463⊉≛↸∃⊬5EE)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":180,"operation_count":3,"complexity_ratio":60.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1556,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1123,"base":16},"right_expr":{"type":"numeric_atoms","value":1518,"base":16}}},"used_operators":["AHs5Up7iyr","o20kRiQErp","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1556","layer":2},{"info":"compute unary expreesion, input=1556, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1123","layer":2},{"info":"number node, value=1518","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=1518, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2246","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=2246, 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":16,"result_base":16,"text":"(∃⊬614∸)≹⇙⪍(∃⊬463⊉≛↸∃⊬5EE)=NaN","reverse_text":"NaN=(∃⊬614∸)≹⇙⪍(∃⊬463⊉≛↸∃⊬5EE)","cot":[{"info":"∃⊬614∸=∃⊬B1","layer":1},{"info":"∃⊬463⊉≛↸∃⊬5EE=∃⊬8C6","layer":1},{"info":"∃⊬B1≹⇙⪍∃⊬8C6=NaN","layer":0}]}
+{"id":72,"expression_no_base_symbol":"$6666$∼$3531$⪄$1448$≎⊠⪸$4347$","expression":"∃⊬1A0A∼∃⊬DCB⪄∃⊬5A8≎⊠⪸∃⊬10FB","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":424,"operation_count":3,"complexity_ratio":141.33333333333334,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6666,"base":16},"right_expr":{"type":"numeric_atoms","value":3531,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1448,"base":16},"right_expr":{"type":"numeric_atoms","value":4347,"base":16}}},"used_operators":["SUmda5xLS4","DyGG3AbaNP","bJkvcejdHO"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6666","layer":2},{"info":"number node, value=3531","layer":2},{"info":"compute binary expreesion, left_input=6666, right_input=3531, 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=1448","layer":2},{"info":"number node, value=4347","layer":2},{"info":"compute binary expreesion, left_input=1448, right_input=4347, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=374559","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=374559, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":16,"result_base":16,"text":"∃⊬1A0A∼∃⊬DCB⪄∃⊬5A8≎⊠⪸∃⊬10FB=∃⊬F8B","reverse_text":"∃⊬F8B=∃⊬1A0A∼∃⊬DCB⪄∃⊬5A8≎⊠⪸∃⊬10FB","cot":[{"info":"∃⊬1A0A∼∃⊬DCB=NaN","layer":1},{"info":"∃⊬5A8≎⊠⪸∃⊬10FB=∃⊬5B71F","layer":1},{"info":"NaN⪄∃⊬5B71F=∃⊬F8B","layer":0}]}
+{"id":73,"expression_no_base_symbol":"($1281$⪄$3830$)⨰(⪝⪂⫅$1122$)","expression":"(∃⊬501⪄∃⊬EF6)⨰(⪝⪂⫅∃⊬462)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":251,"operation_count":3,"complexity_ratio":83.66666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1281,"base":16},"right_expr":{"type":"numeric_atoms","value":3830,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1122,"base":16}}},"used_operators":["eewbuw0ToL","SUmda5xLS4","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp"],"result":"∃⊬-8CD5","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1281","layer":2},{"info":"number node, value=3830","layer":2},{"info":"compute binary expreesion, left_input=1281, right_input=3830, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-200997","layer":1},{"info":"number node, value=1122","layer":2},{"info":"compute unary expreesion, input=1122, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-164934","layer":1},{"info":"compute binary expreesion, left_input=-200997, right_input=-164934, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-36053","layer":0}],"base":16,"result_base":16,"text":"(∃⊬501⪄∃⊬EF6)⨰(⪝⪂⫅∃⊬462)=∃⊬-8CD5","reverse_text":"∃⊬-8CD5=(∃⊬501⪄∃⊬EF6)⨰(⪝⪂⫅∃⊬462)","cot":[{"info":"∃⊬501⪄∃⊬EF6=∃⊬-31125","layer":1},{"info":"⪝⪂⫅∃⊬462=∃⊬-28446","layer":1},{"info":"∃⊬-31125⨰∃⊬-28446=∃⊬-8CD5","layer":0}]}
+{"id":74,"expression_no_base_symbol":"≉$2720$↬$2775$","expression":"≉∃⊬AA0↬∃⊬AD7","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":2720,"base":16},"right_expr":{"type":"numeric_atoms","value":2775,"base":16}}},"used_operators":["e1ybzncUwg","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2720","layer":2},{"info":"number node, value=2775","layer":2},{"info":"compute binary expreesion, left_input=2720, right_input=2775, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≉∃⊬AA0↬∃⊬AD7=NaN","reverse_text":"NaN=≉∃⊬AA0↬∃⊬AD7","cot":[{"info":"∃⊬AA0↬∃⊬AD7=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
+{"id":75,"expression_no_base_symbol":"⋗⩬⋾$1823$↬$4750$","expression":"⋗⩬⋾∃⊬71F↬∃⊬128E","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":1823,"base":16},"right_expr":{"type":"numeric_atoms","value":4750,"base":16}}},"used_operators":["DpFCA1CohY","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1823","layer":2},{"info":"number node, value=4750","layer":2},{"info":"compute binary expreesion, left_input=1823, right_input=4750, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾∃⊬71F↬∃⊬128E=NaN","reverse_text":"NaN=⋗⩬⋾∃⊬71F↬∃⊬128E","cot":[{"info":"∃⊬71F↬∃⊬128E=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
+{"id":76,"expression_no_base_symbol":"⨞⊢$1450$↬$1474$","expression":"⨞⊢∃⊬5AA↬∃⊬5C2","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":1450,"base":16},"right_expr":{"type":"numeric_atoms","value":1474,"base":16}}},"used_operators":["xUOZtlo3hN","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1450","layer":2},{"info":"number node, value=1474","layer":2},{"info":"compute binary expreesion, left_input=1450, right_input=1474, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨞⊢∃⊬5AA↬∃⊬5C2=NaN","reverse_text":"NaN=⨞⊢∃⊬5AA↬∃⊬5C2","cot":[{"info":"∃⊬5AA↬∃⊬5C2=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
+{"id":77,"expression_no_base_symbol":"($6686$⋷$2715$)∲⫓$4048$⨐⩸⫘$1182$","expression":"(∃⊬1A1E⋷∃⊬A9B)∲⫓∃⊬FD0⨐⩸⫘∃⊬49E","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":6686,"base":16},"right_expr":{"type":"numeric_atoms","value":2715,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4048,"base":16},"right_expr":{"type":"numeric_atoms","value":1182,"base":16}}},"used_operators":["i8ToyICDmI","23Mk6UjR3U","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6686","layer":2},{"info":"number node, value=2715","layer":2},{"info":"compute binary expreesion, left_input=6686, right_input=2715, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1256","layer":1},{"info":"number node, value=4048","layer":2},{"info":"number node, value=1182","layer":2},{"info":"compute binary expreesion, left_input=4048, right_input=1182, 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=-1256, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1A1E⋷∃⊬A9B)∲⫓∃⊬FD0⨐⩸⫘∃⊬49E=NaN","reverse_text":"NaN=(∃⊬1A1E⋷∃⊬A9B)∲⫓∃⊬FD0⨐⩸⫘∃⊬49E","cot":[{"info":"∃⊬1A1E⋷∃⊬A9B=∃⊬-4E8","layer":1},{"info":"∃⊬FD0⨐⩸⫘∃⊬49E=NaN","layer":1},{"info":"∃⊬-4E8∲⫓NaN=NaN","layer":0}]}
+{"id":78,"expression_no_base_symbol":"(∂$2515$)≎⊠⪸$1834$⨪↰⇹$6663$","expression":"(∂∃⊬9D3)≎⊠⪸∃⊬72A⨪↰⇹∃⊬1A07","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1847,"operation_count":3,"complexity_ratio":615.6666666666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2515,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1834,"base":16},"right_expr":{"type":"numeric_atoms","value":6663,"base":16}}},"used_operators":["bJkvcejdHO","Uaa54Peajs","tmPS8pqC7x"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2515","layer":2},{"info":"compute unary expreesion, input=2515, 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=1834","layer":2},{"info":"number node, value=6663","layer":2},{"info":"compute binary expreesion, left_input=1834, right_input=6663, 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=1834","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1834, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∂∃⊬9D3)≎⊠⪸∃⊬72A⨪↰⇹∃⊬1A07=NaN","reverse_text":"NaN=(∂∃⊬9D3)≎⊠⪸∃⊬72A⨪↰⇹∃⊬1A07","cot":[{"info":"∂∃⊬9D3=NaN","layer":1},{"info":"∃⊬72A⨪↰⇹∃⊬1A07=∃⊬72A","layer":1},{"info":"NaN≎⊠⪸∃⊬72A=NaN","layer":0}]}
+{"id":79,"expression_no_base_symbol":"($2177$⪨≂$3215$)⫥∨⫟$7400$⨪↰⇹$5208$","expression":"(∃⊬881⪨≂∃⊬C8F)⫥∨⫟∃⊬1CE8⨪↰⇹∃⊬1458","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7559,"operation_count":3,"complexity_ratio":2519.6666666666665,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2177,"base":16},"right_expr":{"type":"numeric_atoms","value":3215,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7400,"base":16},"right_expr":{"type":"numeric_atoms","value":5208,"base":16}}},"used_operators":["KYD54nUTWz","sdazOOVcIp","tmPS8pqC7x"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2177","layer":2},{"info":"number node, value=3215","layer":2},{"info":"compute binary expreesion, left_input=2177, right_input=3215, 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=-1974","layer":1},{"info":"number node, value=7400","layer":2},{"info":"number node, value=5208","layer":2},{"info":"compute binary expreesion, left_input=7400, right_input=5208, 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=7400","layer":1},{"info":"compute binary expreesion, left_input=-1974, right_input=7400, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬881⪨≂∃⊬C8F)⫥∨⫟∃⊬1CE8⨪↰⇹∃⊬1458=NaN","reverse_text":"NaN=(∃⊬881⪨≂∃⊬C8F)⫥∨⫟∃⊬1CE8⨪↰⇹∃⊬1458","cot":[{"info":"∃⊬881⪨≂∃⊬C8F=∃⊬-7B6","layer":1},{"info":"∃⊬1CE8⨪↰⇹∃⊬1458=∃⊬1CE8","layer":1},{"info":"∃⊬-7B6⫥∨⫟∃⊬1CE8=NaN","layer":0}]}
+{"id":80,"expression_no_base_symbol":"(⩦⩻⨪$1507$)⨪↰⇹($3218$⫥∨⫟$1382$)","expression":"(⩦⩻⨪∃⊬5E3)⨪↰⇹(∃⊬C92⫥∨⫟∃⊬566)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1664,"operation_count":3,"complexity_ratio":554.6666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1507,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3218,"base":16},"right_expr":{"type":"numeric_atoms","value":1382,"base":16}}},"used_operators":["tmPS8pqC7x","2td37pGCOC","KYD54nUTWz"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"∃⊬5E3","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1507","layer":2},{"info":"compute unary expreesion, input=1507, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1507","layer":1},{"info":"number node, value=3218","layer":2},{"info":"number node, value=1382","layer":2},{"info":"compute binary expreesion, left_input=3218, right_input=1382, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1507, 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=1507","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪∃⊬5E3)⨪↰⇹(∃⊬C92⫥∨⫟∃⊬566)=∃⊬5E3","reverse_text":"∃⊬5E3=(⩦⩻⨪∃⊬5E3)⨪↰⇹(∃⊬C92⫥∨⫟∃⊬566)","cot":[{"info":"⩦⩻⨪∃⊬5E3=∃⊬5E3","layer":1},{"info":"∃⊬C92⫥∨⫟∃⊬566=NaN","layer":1},{"info":"∃⊬5E3⨪↰⇹NaN=∃⊬5E3","layer":0}]}
+{"id":81,"expression_no_base_symbol":"$1957$⪮%⊝$2946$⨵⪆$1521$∼$2162$","expression":"∃⊬7A5⪮%⊝∃⊬B82⨵⪆∃⊬5F1∼∃⊬872","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1957,"base":16},"right_expr":{"type":"numeric_atoms","value":2946,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1521,"base":16},"right_expr":{"type":"numeric_atoms","value":2162,"base":16}}},"used_operators":["2DQ55sFlQl","IWmyXbctLI","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1957","layer":2},{"info":"number node, value=2946","layer":2},{"info":"compute binary expreesion, left_input=1957, right_input=2946, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4230","layer":1},{"info":"number node, value=1521","layer":2},{"info":"number node, value=2162","layer":2},{"info":"compute binary expreesion, left_input=1521, right_input=2162, 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=4230, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬7A5⪮%⊝∃⊬B82⨵⪆∃⊬5F1∼∃⊬872=∃⊬A0","reverse_text":"∃⊬A0=∃⊬7A5⪮%⊝∃⊬B82⨵⪆∃⊬5F1∼∃⊬872","cot":[{"info":"∃⊬7A5⪮%⊝∃⊬B82=∃⊬1086","layer":1},{"info":"∃⊬5F1∼∃⊬872=NaN","layer":1},{"info":"∃⊬1086⨵⪆NaN=∃⊬A0","layer":0}]}
+{"id":82,"expression_no_base_symbol":"(⋗⩬⋾$4023$)⊭↱$7248$⫥∨⫟$3621$","expression":"(⋗⩬⋾∃⊬FB7)⊭↱∃⊬1C50⫥∨⫟∃⊬E25","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":4023,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7248,"base":16},"right_expr":{"type":"numeric_atoms","value":3621,"base":16}}},"used_operators":["COABgblf1C","DpFCA1CohY","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4023","layer":2},{"info":"compute unary expreesion, input=4023, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12069","layer":1},{"info":"number node, value=7248","layer":2},{"info":"number node, value=3621","layer":2},{"info":"compute binary expreesion, left_input=7248, right_input=3621, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-12069, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⋗⩬⋾∃⊬FB7)⊭↱∃⊬1C50⫥∨⫟∃⊬E25=NaN","reverse_text":"NaN=(⋗⩬⋾∃⊬FB7)⊭↱∃⊬1C50⫥∨⫟∃⊬E25","cot":[{"info":"⋗⩬⋾∃⊬FB7=∃⊬-2F25","layer":1},{"info":"∃⊬1C50⫥∨⫟∃⊬E25=NaN","layer":1},{"info":"∃⊬-2F25⊭↱NaN=NaN","layer":0}]}
+{"id":83,"expression_no_base_symbol":"(≦∁$1588$)+(≉$6433$)","expression":"(≦∁∃⊬634)+(≉∃⊬1921)","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":1588,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6433,"base":16}}},"used_operators":["W4YGzv6Whe","9ICcGScMcE","e1ybzncUwg"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬2168","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1588","layer":2},{"info":"compute unary expreesion, input=1588, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1588","layer":1},{"info":"number node, value=6433","layer":2},{"info":"compute unary expreesion, input=6433, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6964","layer":1},{"info":"compute binary expreesion, left_input=1588, right_input=6964, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8552","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬634)+(≉∃⊬1921)=∃⊬2168","reverse_text":"∃⊬2168=(≦∁∃⊬634)+(≉∃⊬1921)","cot":[{"info":"≦∁∃⊬634=∃⊬634","layer":1},{"info":"≉∃⊬1921=∃⊬1B34","layer":1},{"info":"∃⊬634+∃⊬1B34=∃⊬2168","layer":0}]}
+{"id":84,"expression_no_base_symbol":"(∥⊫$3856$)⪨≂(↽≂$3606$)","expression":"(∥⊫∃⊬F10)⪨≂(↽≂∃⊬E16)","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":3856,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3606,"base":16}}},"used_operators":["sdazOOVcIp","P8v4zCKN1o","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬5DA6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3856","layer":2},{"info":"compute unary expreesion, input=3856, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4724","layer":1},{"info":"number node, value=3606","layer":2},{"info":"compute unary expreesion, input=3606, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7212","layer":1},{"info":"compute binary expreesion, left_input=4724, right_input=-7212, 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=23974","layer":0}],"base":16,"result_base":16,"text":"(∥⊫∃⊬F10)⪨≂(↽≂∃⊬E16)=∃⊬5DA6","reverse_text":"∃⊬5DA6=(∥⊫∃⊬F10)⪨≂(↽≂∃⊬E16)","cot":[{"info":"∥⊫∃⊬F10=∃⊬1274","layer":1},{"info":"↽≂∃⊬E16=∃⊬-1C2C","layer":1},{"info":"∃⊬1274⪨≂∃⊬-1C2C=∃⊬5DA6","layer":0}]}
+{"id":85,"expression_no_base_symbol":"$1372$⪢$7067$⋳⪒($1098$≣⋋)","expression":"∃⊬55C⪢∃⊬1B9B⋳⪒(∃⊬44A≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7588,"operation_count":3,"complexity_ratio":2529.3333333333335,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1372,"base":16},"right_expr":{"type":"numeric_atoms","value":7067,"base":16}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1098,"base":16}}},"used_operators":["12rbrZMWeM","dWAJyo7jo9","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1372","layer":2},{"info":"number node, value=7067","layer":2},{"info":"compute binary expreesion, left_input=1372, right_input=7067, 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=1098","layer":2},{"info":"compute unary expreesion, input=1098, 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=nan, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬55C⪢∃⊬1B9B⋳⪒(∃⊬44A≣⋋)=NaN","reverse_text":"NaN=∃⊬55C⪢∃⊬1B9B⋳⪒(∃⊬44A≣⋋)","cot":[{"info":"∃⊬55C⪢∃⊬1B9B=NaN","layer":1},{"info":"∃⊬44A≣⋋=∃⊬0","layer":1},{"info":"NaN⋳⪒∃⊬0=NaN","layer":0}]}
+{"id":86,"expression_no_base_symbol":"$1103$↬$1874$⩨(≤/$6975$)","expression":"∃⊬44F↬∃⊬752⩨(≤/∃⊬1B3F)","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":1103,"base":16},"right_expr":{"type":"numeric_atoms","value":1874,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6975,"base":16}}},"used_operators":["2DlMacCsIx","B5M0gjZbta","eLAdDNolq6"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":2},{"info":"number node, value=1874","layer":2},{"info":"compute binary expreesion, left_input=1103, right_input=1874, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=6975","layer":2},{"info":"compute unary expreesion, input=6975, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6491","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6491, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬44F↬∃⊬752⩨(≤/∃⊬1B3F)=NaN","reverse_text":"NaN=∃⊬44F↬∃⊬752⩨(≤/∃⊬1B3F)","cot":[{"info":"∃⊬44F↬∃⊬752=NaN","layer":1},{"info":"≤/∃⊬1B3F=∃⊬-195B","layer":1},{"info":"NaN⩨∃⊬-195B=NaN","layer":0}]}
+{"id":87,"expression_no_base_symbol":"$2943$⪢$5192$⫥∨⫟(↣≠⋷$8260$)","expression":"∃⊬B7F⪢∃⊬1448⫥∨⫟(↣≠⋷∃⊬2044)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5349,"operation_count":3,"complexity_ratio":1783.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2943,"base":16},"right_expr":{"type":"numeric_atoms","value":5192,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8260,"base":16}}},"used_operators":["KYD54nUTWz","dWAJyo7jo9","Asc51vEJeQ"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2943","layer":2},{"info":"number node, value=5192","layer":2},{"info":"compute binary expreesion, left_input=2943, right_input=5192, 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=8260","layer":2},{"info":"compute unary expreesion, input=8260, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬B7F⪢∃⊬1448⫥∨⫟(↣≠⋷∃⊬2044)=NaN","reverse_text":"NaN=∃⊬B7F⪢∃⊬1448⫥∨⫟(↣≠⋷∃⊬2044)","cot":[{"info":"∃⊬B7F⪢∃⊬1448=NaN","layer":1},{"info":"↣≠⋷∃⊬2044=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
+{"id":88,"expression_no_base_symbol":"$2153$↙$3245$⩨$2860$≹⇙⪍$1676$","expression":"∃⊬869↙∃⊬CAD⩨∃⊬B2C≹⇙⪍∃⊬68C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3253,"operation_count":3,"complexity_ratio":1084.3333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2153,"base":16},"right_expr":{"type":"numeric_atoms","value":3245,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2860,"base":16},"right_expr":{"type":"numeric_atoms","value":1676,"base":16}}},"used_operators":["2DlMacCsIx","yyfyN0ffXY","AHs5Up7iyr"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2153","layer":2},{"info":"number node, value=3245","layer":2},{"info":"compute binary expreesion, left_input=2153, right_input=3245, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9735","layer":1},{"info":"number node, value=2860","layer":2},{"info":"number node, value=1676","layer":2},{"info":"compute binary expreesion, left_input=2860, right_input=1676, 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=-9735, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬869↙∃⊬CAD⩨∃⊬B2C≹⇙⪍∃⊬68C=NaN","reverse_text":"NaN=∃⊬869↙∃⊬CAD⩨∃⊬B2C≹⇙⪍∃⊬68C","cot":[{"info":"∃⊬869↙∃⊬CAD=∃⊬-2607","layer":1},{"info":"∃⊬B2C≹⇙⪍∃⊬68C=NaN","layer":1},{"info":"∃⊬-2607⩨NaN=NaN","layer":0}]}
+{"id":89,"expression_no_base_symbol":"($2717$⋳⪒$3843$)⩷∴($1362$⪒$2684$)","expression":"(∃⊬A9D⋳⪒∃⊬F03)⩷∴(∃⊬552⪒∃⊬A7C)","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":2717,"base":16},"right_expr":{"type":"numeric_atoms","value":3843,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1362,"base":16},"right_expr":{"type":"numeric_atoms","value":2684,"base":16}}},"used_operators":["9FxExcQeMw","12rbrZMWeM","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬29AC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2717","layer":2},{"info":"number node, value=3843","layer":2},{"info":"compute binary expreesion, left_input=2717, right_input=3843, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1304","layer":1},{"info":"number node, value=1362","layer":2},{"info":"number node, value=2684","layer":2},{"info":"compute binary expreesion, left_input=1362, right_input=2684, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4046","layer":1},{"info":"compute binary expreesion, left_input=1304, right_input=-4046, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10668","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A9D⋳⪒∃⊬F03)⩷∴(∃⊬552⪒∃⊬A7C)=∃⊬29AC","reverse_text":"∃⊬29AC=(∃⊬A9D⋳⪒∃⊬F03)⩷∴(∃⊬552⪒∃⊬A7C)","cot":[{"info":"∃⊬A9D⋳⪒∃⊬F03=∃⊬518","layer":1},{"info":"∃⊬552⪒∃⊬A7C=∃⊬-FCE","layer":1},{"info":"∃⊬518⩷∴∃⊬-FCE=∃⊬29AC","layer":0}]}
+{"id":90,"expression_no_base_symbol":"⪝⪂⫅$1036$⪢$4924$","expression":"⪝⪂⫅∃⊬40C⪢∃⊬133C","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4928,"operation_count":2,"complexity_ratio":2464.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1036,"base":16},"right_expr":{"type":"numeric_atoms","value":4924,"base":16}}},"used_operators":["XTarYq4gQB","dWAJyo7jo9"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1036","layer":2},{"info":"number node, value=4924","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=4924, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅∃⊬40C⪢∃⊬133C=NaN","reverse_text":"NaN=⪝⪂⫅∃⊬40C⪢∃⊬133C","cot":[{"info":"∃⊬40C⪢∃⊬133C=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
+{"id":91,"expression_no_base_symbol":"(⪲⇎$1430$)∑⇟⊟($1143$⩚⊴⇥$2227$)","expression":"(⪲⇎∃⊬596)∑⇟⊟(∃⊬477⩚⊴⇥∃⊬8B3)","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":1430,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1143,"base":16},"right_expr":{"type":"numeric_atoms","value":2227,"base":16}}},"used_operators":["U7g4x0WXJJ","XPYlsWDdGa","NTOWxs364D"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1430","layer":2},{"info":"compute unary expreesion, input=1430, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2860","layer":1},{"info":"number node, value=1143","layer":2},{"info":"number node, value=2227","layer":2},{"info":"compute binary expreesion, left_input=1143, right_input=2227, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3491","layer":1},{"info":"compute binary expreesion, left_input=2860, right_input=-3491, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⪲⇎∃⊬596)∑⇟⊟(∃⊬477⩚⊴⇥∃⊬8B3)=NaN","reverse_text":"NaN=(⪲⇎∃⊬596)∑⇟⊟(∃⊬477⩚⊴⇥∃⊬8B3)","cot":[{"info":"⪲⇎∃⊬596=∃⊬B2C","layer":1},{"info":"∃⊬477⩚⊴⇥∃⊬8B3=∃⊬-DA3","layer":1},{"info":"∃⊬B2C∑⇟⊟∃⊬-DA3=NaN","layer":0}]}
+{"id":92,"expression_no_base_symbol":"($1524$⋥≓≎$1194$)⫥∨⫟$1300$⩷∴$1519$","expression":"(∃⊬5F4⋥≓≎∃⊬4AA)⫥∨⫟∃⊬514⩷∴∃⊬5EF","highest_n_order":4,"priority_hierarchical_complexity":3,"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":1524,"base":16},"right_expr":{"type":"numeric_atoms","value":1194,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1300,"base":16},"right_expr":{"type":"numeric_atoms","value":1519,"base":16}}},"used_operators":["KYD54nUTWz","Qy55tPpLXF","9FxExcQeMw"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":2},{"info":"number node, value=1194","layer":2},{"info":"compute binary expreesion, left_input=1524, right_input=1194, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=897","layer":1},{"info":"number node, value=1300","layer":2},{"info":"number node, value=1519","layer":2},{"info":"compute binary expreesion, left_input=1300, right_input=1519, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-470","layer":1},{"info":"compute binary expreesion, left_input=897, right_input=-470, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬5F4⋥≓≎∃⊬4AA)⫥∨⫟∃⊬514⩷∴∃⊬5EF=NaN","reverse_text":"NaN=(∃⊬5F4⋥≓≎∃⊬4AA)⫥∨⫟∃⊬514⩷∴∃⊬5EF","cot":[{"info":"∃⊬5F4⋥≓≎∃⊬4AA=∃⊬381","layer":1},{"info":"∃⊬514⩷∴∃⊬5EF=∃⊬-1D6","layer":1},{"info":"∃⊬381⫥∨⫟∃⊬-1D6=NaN","layer":0}]}
+{"id":93,"expression_no_base_symbol":"(↣≠⋷$2238$)⇷(⊥$4887$)","expression":"(↣≠⋷∃⊬8BE)⇷(⊥∃⊬1317)","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":2238,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4887,"base":16}}},"used_operators":["mp7IySMOzn","Asc51vEJeQ","Q3PJZHRvZv"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2238","layer":2},{"info":"compute unary expreesion, input=2238, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=4887","layer":2},{"info":"compute unary expreesion, input=4887, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷∃⊬8BE)⇷(⊥∃⊬1317)=NaN","reverse_text":"NaN=(↣≠⋷∃⊬8BE)⇷(⊥∃⊬1317)","cot":[{"info":"↣≠⋷∃⊬8BE=NaN","layer":1},{"info":"⊥∃⊬1317=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
+{"id":94,"expression_no_base_symbol":"$1277$⋝⋈⪟$5006$⊭∹↮","expression":"∃⊬4FD⋝⋈⪟∃⊬138E⊭∹↮","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":1277,"base":16},"right_expr":{"type":"numeric_atoms","value":5006,"base":16}}},"used_operators":["xNBdhnnwKq","2DDjHMKMc0"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬9FA","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1277","layer":2},{"info":"number node, value=5006","layer":2},{"info":"compute binary expreesion, left_input=1277, right_input=5006, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1277","layer":1},{"info":"compute unary expreesion, input=1277, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2554","layer":0}],"base":16,"result_base":16,"text":"∃⊬4FD⋝⋈⪟∃⊬138E⊭∹↮=∃⊬9FA","reverse_text":"∃⊬9FA=∃⊬4FD⋝⋈⪟∃⊬138E⊭∹↮","cot":[{"info":"∃⊬4FD⋝⋈⪟∃⊬138E=∃⊬4FD","layer":1},{"info":"∃⊬4FD⊭∹↮=∃⊬9FA","layer":0}]}
+{"id":95,"expression_no_base_symbol":"⇁⨣⪵$1042$⋝⋈⪟$3806$","expression":"⇁⨣⪵∃⊬412⋝⋈⪟∃⊬EDE","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":1042,"base":16},"right_expr":{"type":"numeric_atoms","value":3806,"base":16}}},"used_operators":["inkyxCbjAn","2DDjHMKMc0"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1042","layer":2},{"info":"number node, value=3806","layer":2},{"info":"compute binary expreesion, left_input=1042, right_input=3806, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1042","layer":1},{"info":"compute unary expreesion, input=1042, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵∃⊬412⋝⋈⪟∃⊬EDE=NaN","reverse_text":"NaN=⇁⨣⪵∃⊬412⋝⋈⪟∃⊬EDE","cot":[{"info":"∃⊬412⋝⋈⪟∃⊬EDE=∃⊬412","layer":1},{"info":"⇁⨣⪵∃⊬412=NaN","layer":0}]}
+{"id":96,"expression_no_base_symbol":"$7267$⪢$1428$∼($3676$⪨≂$1098$)","expression":"∃⊬1C63⪢∃⊬594∼(∃⊬E5C⪨≂∃⊬44A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10540,"operation_count":3,"complexity_ratio":3513.3333333333335,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7267,"base":16},"right_expr":{"type":"numeric_atoms","value":1428,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3676,"base":16},"right_expr":{"type":"numeric_atoms","value":1098,"base":16}}},"used_operators":["DyGG3AbaNP","dWAJyo7jo9","sdazOOVcIp"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7267","layer":2},{"info":"number node, value=1428","layer":2},{"info":"compute binary expreesion, left_input=7267, right_input=1428, 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=3676","layer":2},{"info":"number node, value=1098","layer":2},{"info":"compute binary expreesion, left_input=3676, right_input=1098, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5258","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5258, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1C63⪢∃⊬594∼(∃⊬E5C⪨≂∃⊬44A)=NaN","reverse_text":"NaN=∃⊬1C63⪢∃⊬594∼(∃⊬E5C⪨≂∃⊬44A)","cot":[{"info":"∃⊬1C63⪢∃⊬594=NaN","layer":1},{"info":"∃⊬E5C⪨≂∃⊬44A=∃⊬148A","layer":1},{"info":"NaN∼∃⊬148A=NaN","layer":0}]}
+{"id":97,"expression_no_base_symbol":"($3571$⊭∹↮)⊘","expression":"(∃⊬DF3⊭∹↮)⊘","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":3571,"base":16}}},"used_operators":["gu96TGCTMs","xNBdhnnwKq"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3571","layer":2},{"info":"compute unary expreesion, input=3571, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7142","layer":1},{"info":"compute unary expreesion, input=7142, 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":16,"result_base":16,"text":"(∃⊬DF3⊭∹↮)⊘=∃⊬0","reverse_text":"∃⊬0=(∃⊬DF3⊭∹↮)⊘","cot":[{"info":"∃⊬DF3⊭∹↮=∃⊬1BE6","layer":1},{"info":"∃⊬1BE6⊘=∃⊬0","layer":0}]}
+{"id":98,"expression_no_base_symbol":"$1192$⪮%⊝$1811$↙$2058$≭$2102$","expression":"∃⊬4A8⪮%⊝∃⊬713↙∃⊬80A≭∃⊬836","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1192,"base":16},"right_expr":{"type":"numeric_atoms","value":1811,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2058,"base":16},"right_expr":{"type":"numeric_atoms","value":2102,"base":16}}},"used_operators":["yyfyN0ffXY","IWmyXbctLI","rxpJgHHUmx"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1192","layer":2},{"info":"number node, value=1811","layer":2},{"info":"compute binary expreesion, left_input=1192, right_input=1811, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2700","layer":1},{"info":"number node, value=2058","layer":2},{"info":"number node, value=2102","layer":2},{"info":"compute binary expreesion, left_input=2058, right_input=2102, 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=2700, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬4A8⪮%⊝∃⊬713↙∃⊬80A≭∃⊬836=NaN","reverse_text":"NaN=∃⊬4A8⪮%⊝∃⊬713↙∃⊬80A≭∃⊬836","cot":[{"info":"∃⊬4A8⪮%⊝∃⊬713=∃⊬A8C","layer":1},{"info":"∃⊬80A≭∃⊬836=NaN","layer":1},{"info":"∃⊬A8C↙NaN=NaN","layer":0}]}
+{"id":99,"expression_no_base_symbol":"(⨞⊢$1069$)∑⇟⊟$1525$⪛$3637$","expression":"(⨞⊢∃⊬42D)∑⇟⊟∃⊬5F5⪛∃⊬E35","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":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1069,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1525,"base":16},"right_expr":{"type":"numeric_atoms","value":3637,"base":16}}},"used_operators":["U7g4x0WXJJ","xUOZtlo3hN","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1069","layer":2},{"info":"compute unary expreesion, input=1069, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1243","layer":1},{"info":"number node, value=1525","layer":2},{"info":"number node, value=3637","layer":2},{"info":"compute binary expreesion, left_input=1525, right_input=3637, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1525","layer":1},{"info":"compute binary expreesion, left_input=-1243, right_input=1525, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨞⊢∃⊬42D)∑⇟⊟∃⊬5F5⪛∃⊬E35=NaN","reverse_text":"NaN=(⨞⊢∃⊬42D)∑⇟⊟∃⊬5F5⪛∃⊬E35","cot":[{"info":"⨞⊢∃⊬42D=∃⊬-4DB","layer":1},{"info":"∃⊬5F5⪛∃⊬E35=∃⊬5F5","layer":1},{"info":"∃⊬-4DB∑⇟⊟∃⊬5F5=NaN","layer":0}]}
+{"id":100,"expression_no_base_symbol":"($2446$⨵⪆$2561$)⨽$2601$⋓$1057$","expression":"(∃⊬98E⨵⪆∃⊬A01)⨽∃⊬A29⋓∃⊬421","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":183,"operation_count":3,"complexity_ratio":61.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2446,"base":16},"right_expr":{"type":"numeric_atoms","value":2561,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2601,"base":16},"right_expr":{"type":"numeric_atoms","value":1057,"base":16}}},"used_operators":["8HhzD0ZcuI","2DQ55sFlQl","T2fj7uvVaJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬-126DE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2446","layer":2},{"info":"number node, value=2561","layer":2},{"info":"compute binary expreesion, left_input=2446, right_input=2561, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2601","layer":2},{"info":"number node, value=1057","layer":2},{"info":"compute binary expreesion, left_input=2601, right_input=1057, 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=160, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-75486","layer":0}],"base":16,"result_base":16,"text":"(∃⊬98E⨵⪆∃⊬A01)⨽∃⊬A29⋓∃⊬421=∃⊬-126DE","reverse_text":"∃⊬-126DE=(∃⊬98E⨵⪆∃⊬A01)⨽∃⊬A29⋓∃⊬421","cot":[{"info":"∃⊬98E⨵⪆∃⊬A01=∃⊬A0","layer":1},{"info":"∃⊬A29⋓∃⊬421=∃⊬0","layer":1},{"info":"∃⊬A0⨽∃⊬0=∃⊬-126DE","layer":0}]}
+{"id":101,"expression_no_base_symbol":"($3543$+$3430$)⩠","expression":"(∃⊬DD7+∃⊬D66)⩠","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":3543,"base":16},"right_expr":{"type":"numeric_atoms","value":3430,"base":16}}},"used_operators":["sJAwomhLZr","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3543","layer":2},{"info":"number node, value=3430","layer":2},{"info":"compute binary expreesion, left_input=3543, right_input=3430, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6973","layer":1},{"info":"compute unary expreesion, input=6973, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬DD7+∃⊬D66)⩠=∃⊬0","reverse_text":"∃⊬0=(∃⊬DD7+∃⊬D66)⩠","cot":[{"info":"∃⊬DD7+∃⊬D66=∃⊬1B3D","layer":1},{"info":"∃⊬1B3D⩠=∃⊬0","layer":0}]}
+{"id":102,"expression_no_base_symbol":"($5323$⋓$4906$)∀⇚≩$3404$∼$1017$","expression":"(∃⊬14CB⋓∃⊬132A)∀⇚≩∃⊬D4C∼∃⊬3F9","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":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5323,"base":16},"right_expr":{"type":"numeric_atoms","value":4906,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3404,"base":16},"right_expr":{"type":"numeric_atoms","value":1017,"base":16}}},"used_operators":["LRNGc0VcxI","T2fj7uvVaJ","DyGG3AbaNP"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5323","layer":2},{"info":"number node, value=4906","layer":2},{"info":"compute binary expreesion, left_input=5323, right_input=4906, 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=3404","layer":2},{"info":"number node, value=1017","layer":2},{"info":"compute binary expreesion, left_input=3404, right_input=1017, 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 = 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":16,"result_base":16,"text":"(∃⊬14CB⋓∃⊬132A)∀⇚≩∃⊬D4C∼∃⊬3F9=NaN","reverse_text":"NaN=(∃⊬14CB⋓∃⊬132A)∀⇚≩∃⊬D4C∼∃⊬3F9","cot":[{"info":"∃⊬14CB⋓∃⊬132A=∃⊬0","layer":1},{"info":"∃⊬D4C∼∃⊬3F9=NaN","layer":1},{"info":"∃⊬0∀⇚≩NaN=NaN","layer":0}]}
+{"id":103,"expression_no_base_symbol":"$5436$⨪↰⇹$2769$⊭↱($1740$%$1030$)","expression":"∃⊬153C⨪↰⇹∃⊬AD1⊭↱(∃⊬6CC%∃⊬406)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5443,"operation_count":3,"complexity_ratio":1814.3333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5436,"base":16},"right_expr":{"type":"numeric_atoms","value":2769,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1740,"base":16},"right_expr":{"type":"numeric_atoms","value":1030,"base":16}}},"used_operators":["COABgblf1C","tmPS8pqC7x","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z"],"result":"∃⊬-24E7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5436","layer":2},{"info":"number node, value=2769","layer":2},{"info":"compute binary expreesion, left_input=5436, right_input=2769, 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=5436","layer":1},{"info":"number node, value=1740","layer":2},{"info":"number node, value=1030","layer":2},{"info":"compute binary expreesion, left_input=1740, right_input=1030, op_id = k8jYdgA6NY binary_op_definition= 'None', output=710","layer":1},{"info":"compute binary expreesion, left_input=5436, right_input=710, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9447","layer":0}],"base":16,"result_base":16,"text":"∃⊬153C⨪↰⇹∃⊬AD1⊭↱(∃⊬6CC%∃⊬406)=∃⊬-24E7","reverse_text":"∃⊬-24E7=∃⊬153C⨪↰⇹∃⊬AD1⊭↱(∃⊬6CC%∃⊬406)","cot":[{"info":"∃⊬153C⨪↰⇹∃⊬AD1=∃⊬153C","layer":1},{"info":"∃⊬6CC%∃⊬406=∃⊬2C6","layer":1},{"info":"∃⊬153C⊭↱∃⊬2C6=∃⊬-24E7","layer":0}]}
+{"id":104,"expression_no_base_symbol":"($5022$⨎$1126$)∼($1973$⋓$6837$)","expression":"(∃⊬139E⨎∃⊬466)∼(∃⊬7B5⋓∃⊬1AB5)","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":5022,"base":16},"right_expr":{"type":"numeric_atoms","value":1126,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1973,"base":16},"right_expr":{"type":"numeric_atoms","value":6837,"base":16}}},"used_operators":["DyGG3AbaNP","rJVOvQCfKK","T2fj7uvVaJ"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬14","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5022","layer":2},{"info":"number node, value=1126","layer":2},{"info":"compute binary expreesion, left_input=5022, right_input=1126, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1126","layer":1},{"info":"number node, value=1973","layer":2},{"info":"number node, value=6837","layer":2},{"info":"compute binary expreesion, left_input=1973, right_input=6837, 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=1126, 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":16,"result_base":16,"text":"(∃⊬139E⨎∃⊬466)∼(∃⊬7B5⋓∃⊬1AB5)=∃⊬14","reverse_text":"∃⊬14=(∃⊬139E⨎∃⊬466)∼(∃⊬7B5⋓∃⊬1AB5)","cot":[{"info":"∃⊬139E⨎∃⊬466=∃⊬466","layer":1},{"info":"∃⊬7B5⋓∃⊬1AB5=∃⊬0","layer":1},{"info":"∃⊬466∼∃⊬0=∃⊬14","layer":0}]}
+{"id":105,"expression_no_base_symbol":"$1974$↬$1904$⊘","expression":"∃⊬7B6↬∃⊬770⊘","highest_n_order":5,"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":1974,"base":16},"right_expr":{"type":"numeric_atoms","value":1904,"base":16}}},"used_operators":["gu96TGCTMs","B5M0gjZbta"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1974","layer":2},{"info":"number node, value=1904","layer":2},{"info":"compute binary expreesion, left_input=1974, right_input=1904, 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 = 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":16,"result_base":16,"text":"∃⊬7B6↬∃⊬770⊘=NaN","reverse_text":"NaN=∃⊬7B6↬∃⊬770⊘","cot":[{"info":"∃⊬7B6↬∃⊬770=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
+{"id":106,"expression_no_base_symbol":"(↥$1858$)⪨≂(-$3955$)","expression":"(↥∃⊬742)⪨≂(-∃⊬F73)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1858,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3955,"base":16}}},"used_operators":["sdazOOVcIp","A8NUZmVepG","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"∃⊬1F78","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1858","layer":2},{"info":"compute unary expreesion, input=1858, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":1},{"info":"number node, value=3955","layer":2},{"info":"compute unary expreesion, input=3955, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3955","layer":1},{"info":"compute binary expreesion, left_input=22, right_input=-3955, 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=8056","layer":0}],"base":16,"result_base":16,"text":"(↥∃⊬742)⪨≂(-∃⊬F73)=∃⊬1F78","reverse_text":"∃⊬1F78=(↥∃⊬742)⪨≂(-∃⊬F73)","cot":[{"info":"↥∃⊬742=∃⊬16","layer":1},{"info":"-∃⊬F73=∃⊬-F73","layer":1},{"info":"∃⊬16⪨≂∃⊬-F73=∃⊬1F78","layer":0}]}
+{"id":107,"expression_no_base_symbol":"($3261$⨎$2452$)⨰(+⊝⨔$8687$)","expression":"(∃⊬CBD⨎∃⊬994)⨰(+⊝⨔∃⊬21EF)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3261,"base":16},"right_expr":{"type":"numeric_atoms","value":2452,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":8687,"base":16}}},"used_operators":["eewbuw0ToL","rJVOvQCfKK","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬3AC","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3261","layer":2},{"info":"number node, value=2452","layer":2},{"info":"compute binary expreesion, left_input=3261, right_input=2452, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2452","layer":1},{"info":"number node, value=8687","layer":2},{"info":"compute unary expreesion, input=8687, 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=2452, right_input=1522, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=940","layer":0}],"base":16,"result_base":16,"text":"(∃⊬CBD⨎∃⊬994)⨰(+⊝⨔∃⊬21EF)=∃⊬3AC","reverse_text":"∃⊬3AC=(∃⊬CBD⨎∃⊬994)⨰(+⊝⨔∃⊬21EF)","cot":[{"info":"∃⊬CBD⨎∃⊬994=∃⊬994","layer":1},{"info":"+⊝⨔∃⊬21EF=∃⊬5F2","layer":1},{"info":"∃⊬994⨰∃⊬5F2=∃⊬3AC","layer":0}]}
+{"id":108,"expression_no_base_symbol":"($5089$⪒$3099$)≧⫂∧(⨈⫕$7944$)","expression":"(∃⊬13E1⪒∃⊬C1B)≧⫂∧(⨈⫕∃⊬1F08)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":390,"operation_count":3,"complexity_ratio":130.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5089,"base":16},"right_expr":{"type":"numeric_atoms","value":3099,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7944,"base":16}}},"used_operators":["Ph9nP6C5qx","f6k1SAg4EE","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬-1EE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5089","layer":2},{"info":"number node, value=3099","layer":2},{"info":"compute binary expreesion, left_input=5089, right_input=3099, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8188","layer":1},{"info":"number node, value=7944","layer":2},{"info":"compute unary expreesion, input=7944, 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=-8188, right_input=-21, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-494","layer":0}],"base":16,"result_base":16,"text":"(∃⊬13E1⪒∃⊬C1B)≧⫂∧(⨈⫕∃⊬1F08)=∃⊬-1EE","reverse_text":"∃⊬-1EE=(∃⊬13E1⪒∃⊬C1B)≧⫂∧(⨈⫕∃⊬1F08)","cot":[{"info":"∃⊬13E1⪒∃⊬C1B=∃⊬-1FFC","layer":1},{"info":"⨈⫕∃⊬1F08=∃⊬-15","layer":1},{"info":"∃⊬-1FFC≧⫂∧∃⊬-15=∃⊬-1EE","layer":0}]}
+{"id":109,"expression_no_base_symbol":"($2047$⊦⊿)⪠⩆⊳","expression":"(∃⊬7FF⊦⊿)⪠⩆⊳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2047,"base":16}}},"used_operators":["JLbD19bQDL","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2047","layer":2},{"info":"compute unary expreesion, input=2047, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6220","layer":1},{"info":"compute unary expreesion, input=-6220, 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":16,"result_base":16,"text":"(∃⊬7FF⊦⊿)⪠⩆⊳=∃⊬0","reverse_text":"∃⊬0=(∃⊬7FF⊦⊿)⪠⩆⊳","cot":[{"info":"∃⊬7FF⊦⊿=∃⊬-184C","layer":1},{"info":"∃⊬-184C⪠⩆⊳=∃⊬0","layer":0}]}
+{"id":110,"expression_no_base_symbol":"($2383$⫥∨⫟$3093$)⪮%⊝($1521$⊠≄⫣)","expression":"(∃⊬94F⫥∨⫟∃⊬C15)⪮%⊝(∃⊬5F1⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":166,"operation_count":3,"complexity_ratio":55.333333333333336,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2383,"base":16},"right_expr":{"type":"numeric_atoms","value":3093,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1521,"base":16}}},"used_operators":["IWmyXbctLI","KYD54nUTWz","DIvbN7qnHd"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2383","layer":2},{"info":"number node, value=3093","layer":2},{"info":"compute binary expreesion, left_input=2383, right_input=3093, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1521","layer":2},{"info":"compute unary expreesion, input=1521, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬94F⫥∨⫟∃⊬C15)⪮%⊝(∃⊬5F1⊠≄⫣)=NaN","reverse_text":"NaN=(∃⊬94F⫥∨⫟∃⊬C15)⪮%⊝(∃⊬5F1⊠≄⫣)","cot":[{"info":"∃⊬94F⫥∨⫟∃⊬C15=NaN","layer":1},{"info":"∃⊬5F1⊠≄⫣=∃⊬0","layer":1},{"info":"NaN⪮%⊝∃⊬0=NaN","layer":0}]}
+{"id":111,"expression_no_base_symbol":"($8409$∸)⪘⫢($3776$⩷∴$1151$)","expression":"(∃⊬20D9∸)⪘⫢(∃⊬EC0⩷∴∃⊬47F)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":198,"operation_count":3,"complexity_ratio":66.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":8409,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3776,"base":16},"right_expr":{"type":"numeric_atoms","value":1151,"base":16}}},"used_operators":["oacrs7FA3X","o20kRiQErp","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","rysDP5nf3Z"],"result":"∃⊬E6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8409","layer":2},{"info":"compute unary expreesion, input=8409, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=3776","layer":2},{"info":"number node, value=1151","layer":2},{"info":"compute binary expreesion, left_input=3776, right_input=1151, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5218","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=5218, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=230","layer":0}],"base":16,"result_base":16,"text":"(∃⊬20D9∸)⪘⫢(∃⊬EC0⩷∴∃⊬47F)=∃⊬E6","reverse_text":"∃⊬E6=(∃⊬20D9∸)⪘⫢(∃⊬EC0⩷∴∃⊬47F)","cot":[{"info":"∃⊬20D9∸=∃⊬B1","layer":1},{"info":"∃⊬EC0⩷∴∃⊬47F=∃⊬1462","layer":1},{"info":"∃⊬B1⪘⫢∃⊬1462=∃⊬E6","layer":0}]}
+{"id":112,"expression_no_base_symbol":"(⪝⪂⫅$2667$)⪮%⊝($3111$⨽$2203$)","expression":"(⪝⪂⫅∃⊬A6B)⪮%⊝(∃⊬C27⨽∃⊬89B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3279,"operation_count":3,"complexity_ratio":1093.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2667,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3111,"base":16},"right_expr":{"type":"numeric_atoms","value":2203,"base":16}}},"used_operators":["IWmyXbctLI","XTarYq4gQB","8HhzD0ZcuI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬-BF5A6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2667","layer":2},{"info":"compute unary expreesion, input=2667, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-392049","layer":1},{"info":"number node, value=3111","layer":2},{"info":"number node, value=2203","layer":2},{"info":"compute binary expreesion, left_input=3111, right_input=2203, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-29040258","layer":1},{"info":"compute binary expreesion, left_input=-392049, right_input=-29040258, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-783782","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅∃⊬A6B)⪮%⊝(∃⊬C27⨽∃⊬89B)=∃⊬-BF5A6","reverse_text":"∃⊬-BF5A6=(⪝⪂⫅∃⊬A6B)⪮%⊝(∃⊬C27⨽∃⊬89B)","cot":[{"info":"⪝⪂⫅∃⊬A6B=∃⊬-5FB71","layer":1},{"info":"∃⊬C27⨽∃⊬89B=∃⊬-1BB1E82","layer":1},{"info":"∃⊬-5FB71⪮%⊝∃⊬-1BB1E82=∃⊬-BF5A6","layer":0}]}
+{"id":113,"expression_no_base_symbol":"($1768$⪒$1047$)⊪","expression":"(∃⊬6E8⪒∃⊬417)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8465,"operation_count":2,"complexity_ratio":4232.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1768,"base":16},"right_expr":{"type":"numeric_atoms","value":1047,"base":16}}},"used_operators":["zVYPLywUTj","f6k1SAg4EE"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬4BE213C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1768","layer":2},{"info":"number node, value=1047","layer":2},{"info":"compute binary expreesion, left_input=1768, right_input=1047, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2815","layer":1},{"info":"compute unary expreesion, input=-2815, 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=79569212","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6E8⪒∃⊬417)⊪=∃⊬4BE213C","reverse_text":"∃⊬4BE213C=(∃⊬6E8⪒∃⊬417)⊪","cot":[{"info":"∃⊬6E8⪒∃⊬417=∃⊬-AFF","layer":1},{"info":"∃⊬-AFF⊪=∃⊬4BE213C","layer":0}]}
+{"id":114,"expression_no_base_symbol":"(↯⪼$5541$)↪⪝","expression":"(↯⪼∃⊬15A5)↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":158,"operation_count":2,"complexity_ratio":79.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5541,"base":16}}},"used_operators":["l07mrZUIn9","8jW3W4yZS5"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬-139AD6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5541","layer":2},{"info":"compute unary expreesion, input=5541, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-1284822","layer":0}],"base":16,"result_base":16,"text":"(↯⪼∃⊬15A5)↪⪝=∃⊬-139AD6","reverse_text":"∃⊬-139AD6=(↯⪼∃⊬15A5)↪⪝","cot":[{"info":"↯⪼∃⊬15A5=∃⊬-15","layer":1},{"info":"∃⊬-15↪⪝=∃⊬-139AD6","layer":0}]}
+{"id":115,"expression_no_base_symbol":"$7319$≭$3881$+$6556$⨐⩸⫘$3470$","expression":"∃⊬1C97≭∃⊬F29+∃⊬199C⨐⩸⫘∃⊬D8E","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":7319,"base":16},"right_expr":{"type":"numeric_atoms","value":3881,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6556,"base":16},"right_expr":{"type":"numeric_atoms","value":3470,"base":16}}},"used_operators":["W4YGzv6Whe","rxpJgHHUmx","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7319","layer":2},{"info":"number node, value=3881","layer":2},{"info":"compute binary expreesion, left_input=7319, right_input=3881, 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=6556","layer":2},{"info":"number node, value=3470","layer":2},{"info":"compute binary expreesion, left_input=6556, right_input=3470, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1C97≭∃⊬F29+∃⊬199C⨐⩸⫘∃⊬D8E=NaN","reverse_text":"NaN=∃⊬1C97≭∃⊬F29+∃⊬199C⨐⩸⫘∃⊬D8E","cot":[{"info":"∃⊬1C97≭∃⊬F29=NaN","layer":1},{"info":"∃⊬199C⨐⩸⫘∃⊬D8E=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
+{"id":116,"expression_no_base_symbol":"(⊙↵-$4456$)⊭↱($8399$-$6038$)","expression":"(⊙↵-∃⊬1168)⊭↱(∃⊬20CF-∃⊬1796)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4509,"operation_count":3,"complexity_ratio":1503.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4456,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8399,"base":16},"right_expr":{"type":"numeric_atoms","value":6038,"base":16}}},"used_operators":["COABgblf1C","oWn0xqSxBt","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬1279","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4456","layer":2},{"info":"compute unary expreesion, input=4456, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=8399","layer":2},{"info":"number node, value=6038","layer":2},{"info":"compute binary expreesion, left_input=8399, right_input=6038, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2361","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=2361, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4729","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-∃⊬1168)⊭↱(∃⊬20CF-∃⊬1796)=∃⊬1279","reverse_text":"∃⊬1279=(⊙↵-∃⊬1168)⊭↱(∃⊬20CF-∃⊬1796)","cot":[{"info":"⊙↵-∃⊬1168=∃⊬-1","layer":1},{"info":"∃⊬20CF-∃⊬1796=∃⊬939","layer":1},{"info":"∃⊬-1⊭↱∃⊬939=∃⊬1279","layer":0}]}
+{"id":117,"expression_no_base_symbol":"($3760$⫸⊐$1944$)≭(⨑⩽⪐$3342$)","expression":"(∃⊬EB0⫸⊐∃⊬798)≭(⨑⩽⪐∃⊬D0E)","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":3760,"base":16},"right_expr":{"type":"numeric_atoms","value":1944,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3342,"base":16}}},"used_operators":["rxpJgHHUmx","mqXw5SEYmG","AF7qkfDlqP"],"dependent_operators":["AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3760","layer":2},{"info":"number node, value=1944","layer":2},{"info":"compute binary expreesion, left_input=3760, right_input=1944, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7651","layer":1},{"info":"number node, value=3342","layer":2},{"info":"compute unary expreesion, input=3342, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3069","layer":1},{"info":"compute binary expreesion, left_input=7651, right_input=-3069, 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":16,"result_base":16,"text":"(∃⊬EB0⫸⊐∃⊬798)≭(⨑⩽⪐∃⊬D0E)=NaN","reverse_text":"NaN=(∃⊬EB0⫸⊐∃⊬798)≭(⨑⩽⪐∃⊬D0E)","cot":[{"info":"∃⊬EB0⫸⊐∃⊬798=∃⊬1DE3","layer":1},{"info":"⨑⩽⪐∃⊬D0E=∃⊬-BFD","layer":1},{"info":"∃⊬1DE3≭∃⊬-BFD=NaN","layer":0}]}
+{"id":118,"expression_no_base_symbol":"$1787$≧⫂∧$1097$≧⫂∧$4227$∑⇟⊟$1955$","expression":"∃⊬6FB≧⫂∧∃⊬449≧⫂∧∃⊬1083∑⇟⊟∃⊬7A3","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":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1787,"base":16},"right_expr":{"type":"numeric_atoms","value":1097,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4227,"base":16},"right_expr":{"type":"numeric_atoms","value":1955,"base":16}}},"used_operators":["Ph9nP6C5qx","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1787","layer":2},{"info":"number node, value=1097","layer":2},{"info":"compute binary expreesion, left_input=1787, right_input=1097, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=624","layer":1},{"info":"number node, value=4227","layer":2},{"info":"number node, value=1955","layer":2},{"info":"compute binary expreesion, left_input=4227, right_input=1955, 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=624, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬6FB≧⫂∧∃⊬449≧⫂∧∃⊬1083∑⇟⊟∃⊬7A3=NaN","reverse_text":"NaN=∃⊬6FB≧⫂∧∃⊬449≧⫂∧∃⊬1083∑⇟⊟∃⊬7A3","cot":[{"info":"∃⊬6FB≧⫂∧∃⊬449=∃⊬270","layer":1},{"info":"∃⊬1083∑⇟⊟∃⊬7A3=NaN","layer":1},{"info":"∃⊬270≧⫂∧NaN=NaN","layer":0}]}
+{"id":119,"expression_no_base_symbol":"$2308$≹⇙⪍$3264$⊭↱($7344$⫡⨏$1644$)","expression":"∃⊬904≹⇙⪍∃⊬CC0⊭↱(∃⊬1CB0⫡⨏∃⊬66C)","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":2308,"base":16},"right_expr":{"type":"numeric_atoms","value":3264,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7344,"base":16},"right_expr":{"type":"numeric_atoms","value":1644,"base":16}}},"used_operators":["COABgblf1C","AHs5Up7iyr","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2308","layer":2},{"info":"number node, value=3264","layer":2},{"info":"compute binary expreesion, left_input=2308, right_input=3264, 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=7344","layer":2},{"info":"number node, value=1644","layer":2},{"info":"compute binary expreesion, left_input=7344, right_input=1644, 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=40791","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=40791, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬904≹⇙⪍∃⊬CC0⊭↱(∃⊬1CB0⫡⨏∃⊬66C)=NaN","reverse_text":"NaN=∃⊬904≹⇙⪍∃⊬CC0⊭↱(∃⊬1CB0⫡⨏∃⊬66C)","cot":[{"info":"∃⊬904≹⇙⪍∃⊬CC0=NaN","layer":1},{"info":"∃⊬1CB0⫡⨏∃⊬66C=∃⊬9F57","layer":1},{"info":"NaN⊭↱∃⊬9F57=NaN","layer":0}]}
+{"id":120,"expression_no_base_symbol":"($2604$⊭↱$1656$)⊘","expression":"(∃⊬A2C⊭↱∃⊬678)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2604,"base":16},"right_expr":{"type":"numeric_atoms","value":1656,"base":16}}},"used_operators":["gu96TGCTMs","COABgblf1C"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2604","layer":2},{"info":"number node, value=1656","layer":2},{"info":"compute binary expreesion, left_input=2604, right_input=1656, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1891","layer":1},{"info":"compute unary expreesion, input=-1891, 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":16,"result_base":16,"text":"(∃⊬A2C⊭↱∃⊬678)⊘=∃⊬-1","reverse_text":"∃⊬-1=(∃⊬A2C⊭↱∃⊬678)⊘","cot":[{"info":"∃⊬A2C⊭↱∃⊬678=∃⊬-763","layer":1},{"info":"∃⊬-763⊘=∃⊬-1","layer":0}]}
+{"id":121,"expression_no_base_symbol":"($5000$⪄$4850$)⪄($2928$⇼⇔∾$2109$)","expression":"(∃⊬1388⪄∃⊬12F2)⪄(∃⊬B70⇼⇔∾∃⊬83D)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":189,"operation_count":3,"complexity_ratio":63.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5000,"base":16},"right_expr":{"type":"numeric_atoms","value":4850,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2928,"base":16},"right_expr":{"type":"numeric_atoms","value":2109,"base":16}}},"used_operators":["SUmda5xLS4","tifHPKVTfV"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5000","layer":2},{"info":"number node, value=4850","layer":2},{"info":"compute binary expreesion, left_input=5000, right_input=4850, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-755489","layer":1},{"info":"number node, value=2928","layer":2},{"info":"number node, value=2109","layer":2},{"info":"compute binary expreesion, left_input=2928, right_input=2109, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-819","layer":1},{"info":"compute binary expreesion, left_input=-755489, right_input=-819, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1388⪄∃⊬12F2)⪄(∃⊬B70⇼⇔∾∃⊬83D)=∃⊬F8B","reverse_text":"∃⊬F8B=(∃⊬1388⪄∃⊬12F2)⪄(∃⊬B70⇼⇔∾∃⊬83D)","cot":[{"info":"∃⊬1388⪄∃⊬12F2=∃⊬-B8721","layer":1},{"info":"∃⊬B70⇼⇔∾∃⊬83D=∃⊬-333","layer":1},{"info":"∃⊬-B8721⪄∃⊬-333=∃⊬F8B","layer":0}]}
+{"id":122,"expression_no_base_symbol":"$1261$≎⊠⪸$4499$⨐⩸⫘($3317$-$7046$)","expression":"∃⊬4ED≎⊠⪸∃⊬1193⨐⩸⫘(∃⊬CF5-∃⊬1B86)","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":1261,"base":16},"right_expr":{"type":"numeric_atoms","value":4499,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3317,"base":16},"right_expr":{"type":"numeric_atoms","value":7046,"base":16}}},"used_operators":["fu6greOZ01","bJkvcejdHO","rysDP5nf3Z"],"dependent_operators":["3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1261","layer":2},{"info":"number node, value=4499","layer":2},{"info":"compute binary expreesion, left_input=1261, right_input=4499, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=326126","layer":1},{"info":"number node, value=3317","layer":2},{"info":"number node, value=7046","layer":2},{"info":"compute binary expreesion, left_input=3317, right_input=7046, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3729","layer":1},{"info":"compute binary expreesion, left_input=326126, right_input=-3729, 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":16,"result_base":16,"text":"∃⊬4ED≎⊠⪸∃⊬1193⨐⩸⫘(∃⊬CF5-∃⊬1B86)=NaN","reverse_text":"NaN=∃⊬4ED≎⊠⪸∃⊬1193⨐⩸⫘(∃⊬CF5-∃⊬1B86)","cot":[{"info":"∃⊬4ED≎⊠⪸∃⊬1193=∃⊬4F9EE","layer":1},{"info":"∃⊬CF5-∃⊬1B86=∃⊬-E91","layer":1},{"info":"∃⊬4F9EE⨐⩸⫘∃⊬-E91=NaN","layer":0}]}
+{"id":123,"expression_no_base_symbol":"(↽≂$1287$)↬(∥⊫$5028$)","expression":"(↽≂∃⊬507)↬(∥⊫∃⊬13A4)","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":1287,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5028,"base":16}}},"used_operators":["B5M0gjZbta","u6S6b8DprG","P8v4zCKN1o"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1287","layer":2},{"info":"compute unary expreesion, input=1287, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2574","layer":1},{"info":"number node, value=5028","layer":2},{"info":"compute unary expreesion, input=5028, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5896","layer":1},{"info":"compute binary expreesion, left_input=-2574, right_input=5896, 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":16,"result_base":16,"text":"(↽≂∃⊬507)↬(∥⊫∃⊬13A4)=NaN","reverse_text":"NaN=(↽≂∃⊬507)↬(∥⊫∃⊬13A4)","cot":[{"info":"↽≂∃⊬507=∃⊬-A0E","layer":1},{"info":"∥⊫∃⊬13A4=∃⊬1708","layer":1},{"info":"∃⊬-A0E↬∃⊬1708=NaN","layer":0}]}
+{"id":124,"expression_no_base_symbol":"≦∁$4460$⨸⪁$9658$","expression":"≦∁∃⊬116C⨸⪁∃⊬25BA","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":4460,"base":16},"right_expr":{"type":"numeric_atoms","value":9658,"base":16}}},"used_operators":["9ICcGScMcE","g55IO6H4Gj"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe"],"result":"∃⊬6E4C","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4460","layer":2},{"info":"number node, value=9658","layer":2},{"info":"compute binary expreesion, left_input=4460, right_input=9658, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=28236","layer":1},{"info":"compute unary expreesion, input=28236, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=28236","layer":0}],"base":16,"result_base":16,"text":"≦∁∃⊬116C⨸⪁∃⊬25BA=∃⊬6E4C","reverse_text":"∃⊬6E4C=≦∁∃⊬116C⨸⪁∃⊬25BA","cot":[{"info":"∃⊬116C⨸⪁∃⊬25BA=∃⊬6E4C","layer":1},{"info":"≦∁∃⊬6E4C=∃⊬6E4C","layer":0}]}
+{"id":125,"expression_no_base_symbol":"$4365$*$4325$⪨≂$2704$⪮%⊝$1240$","expression":"∃⊬110D*∃⊬10E5⪨≂∃⊬A90⪮%⊝∃⊬4D8","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4339,"operation_count":3,"complexity_ratio":1446.3333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4365,"base":16},"right_expr":{"type":"numeric_atoms","value":4325,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2704,"base":16},"right_expr":{"type":"numeric_atoms","value":1240,"base":16}}},"used_operators":["sdazOOVcIp","9HNa5Wba9A","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬23FF4F0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4365","layer":2},{"info":"number node, value=4325","layer":2},{"info":"compute binary expreesion, left_input=4365, right_input=4325, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18878625","layer":1},{"info":"number node, value=2704","layer":2},{"info":"number node, value=1240","layer":2},{"info":"compute binary expreesion, left_input=2704, right_input=1240, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5724","layer":1},{"info":"compute binary expreesion, left_input=18878625, right_input=5724, 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=37745904","layer":0}],"base":16,"result_base":16,"text":"∃⊬110D*∃⊬10E5⪨≂∃⊬A90⪮%⊝∃⊬4D8=∃⊬23FF4F0","reverse_text":"∃⊬23FF4F0=∃⊬110D*∃⊬10E5⪨≂∃⊬A90⪮%⊝∃⊬4D8","cot":[{"info":"∃⊬110D*∃⊬10E5=∃⊬12010A1","layer":1},{"info":"∃⊬A90⪮%⊝∃⊬4D8=∃⊬165C","layer":1},{"info":"∃⊬12010A1⪨≂∃⊬165C=∃⊬23FF4F0","layer":0}]}
+{"id":126,"expression_no_base_symbol":"($2894$≦≮≮)≎⊠⪸(+⊝⨔$1549$)","expression":"(∃⊬B4E≦≮≮)≎⊠⪸(+⊝⨔∃⊬60D)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":314,"operation_count":3,"complexity_ratio":104.66666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2894,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1549,"base":16}}},"used_operators":["bJkvcejdHO","D4vGDi5EA2","DhbWaqg5eL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬224FBE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2894","layer":2},{"info":"compute unary expreesion, input=2894, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8682","layer":1},{"info":"number node, value=1549","layer":2},{"info":"compute unary expreesion, input=1549, 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=-8682, right_input=1522, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2248638","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B4E≦≮≮)≎⊠⪸(+⊝⨔∃⊬60D)=∃⊬224FBE","reverse_text":"∃⊬224FBE=(∃⊬B4E≦≮≮)≎⊠⪸(+⊝⨔∃⊬60D)","cot":[{"info":"∃⊬B4E≦≮≮=∃⊬-21EA","layer":1},{"info":"+⊝⨔∃⊬60D=∃⊬5F2","layer":1},{"info":"∃⊬-21EA≎⊠⪸∃⊬5F2=∃⊬224FBE","layer":0}]}
+{"id":127,"expression_no_base_symbol":"($1030$/$3320$)∸","expression":"(∃⊬406/∃⊬CF8)∸","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":1030,"base":16},"right_expr":{"type":"numeric_atoms","value":3320,"base":16}}},"used_operators":["o20kRiQErp","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z"],"result":"∃⊬B1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":2},{"info":"number node, value=3320","layer":2},{"info":"compute binary expreesion, left_input=1030, right_input=3320, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":16,"result_base":16,"text":"(∃⊬406/∃⊬CF8)∸=∃⊬B1","reverse_text":"∃⊬B1=(∃⊬406/∃⊬CF8)∸","cot":[{"info":"∃⊬406/∃⊬CF8=∃⊬0","layer":1},{"info":"∃⊬0∸=∃⊬B1","layer":0}]}
+{"id":128,"expression_no_base_symbol":"(⨵≀≌$1349$)⨪↰⇹($1090$⇋≉)","expression":"(⨵≀≌∃⊬545)⨪↰⇹(∃⊬442⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4053,"operation_count":3,"complexity_ratio":1351.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1349,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1090,"base":16}}},"used_operators":["tmPS8pqC7x","srAu1WTS94","XIabStNQrY"],"dependent_operators":["rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬FCF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":2},{"info":"compute unary expreesion, input=1349, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4047","layer":1},{"info":"number node, value=1090","layer":2},{"info":"compute unary expreesion, input=1090, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2082","layer":1},{"info":"compute binary expreesion, left_input=-4047, right_input=2082, 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=4047","layer":0}],"base":16,"result_base":16,"text":"(⨵≀≌∃⊬545)⨪↰⇹(∃⊬442⇋≉)=∃⊬FCF","reverse_text":"∃⊬FCF=(⨵≀≌∃⊬545)⨪↰⇹(∃⊬442⇋≉)","cot":[{"info":"⨵≀≌∃⊬545=∃⊬-FCF","layer":1},{"info":"∃⊬442⇋≉=∃⊬822","layer":1},{"info":"∃⊬-FCF⨪↰⇹∃⊬822=∃⊬FCF","layer":0}]}
+{"id":129,"expression_no_base_symbol":"($6516$+$7830$)⨓($4636$⊭↱$2040$)","expression":"(∃⊬1974+∃⊬1E96)⨓(∃⊬121C⊭↱∃⊬7F8)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5200,"operation_count":3,"complexity_ratio":1733.3333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6516,"base":16},"right_expr":{"type":"numeric_atoms","value":7830,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4636,"base":16},"right_expr":{"type":"numeric_atoms","value":2040,"base":16}}},"used_operators":["3ViojmjbAp","W4YGzv6Whe","COABgblf1C"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1446","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6516","layer":2},{"info":"number node, value=7830","layer":2},{"info":"compute binary expreesion, left_input=6516, right_input=7830, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14346","layer":1},{"info":"number node, value=4636","layer":2},{"info":"number node, value=2040","layer":2},{"info":"compute binary expreesion, left_input=4636, right_input=2040, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5187","layer":1},{"info":"compute binary expreesion, left_input=14346, right_input=-5187, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5190","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1974+∃⊬1E96)⨓(∃⊬121C⊭↱∃⊬7F8)=∃⊬-1446","reverse_text":"∃⊬-1446=(∃⊬1974+∃⊬1E96)⨓(∃⊬121C⊭↱∃⊬7F8)","cot":[{"info":"∃⊬1974+∃⊬1E96=∃⊬380A","layer":1},{"info":"∃⊬121C⊭↱∃⊬7F8=∃⊬-1443","layer":1},{"info":"∃⊬380A⨓∃⊬-1443=∃⊬-1446","layer":0}]}
+{"id":130,"expression_no_base_symbol":"$1882$⪛$3670$⨳⩥⨓($2571$%$6633$)","expression":"∃⊬75A⪛∃⊬E56⨳⩥⨓(∃⊬A0B%∃⊬19E9)","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":1882,"base":16},"right_expr":{"type":"numeric_atoms","value":3670,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2571,"base":16},"right_expr":{"type":"numeric_atoms","value":6633,"base":16}}},"used_operators":["nCS4ZIUYfx","uFcxV4UQCh","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z"],"result":"∃⊬2B1","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1882","layer":2},{"info":"number node, value=3670","layer":2},{"info":"compute binary expreesion, left_input=1882, right_input=3670, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1882","layer":1},{"info":"number node, value=2571","layer":2},{"info":"number node, value=6633","layer":2},{"info":"compute binary expreesion, left_input=2571, right_input=6633, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2571","layer":1},{"info":"compute binary expreesion, left_input=1882, right_input=2571, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=689","layer":0}],"base":16,"result_base":16,"text":"∃⊬75A⪛∃⊬E56⨳⩥⨓(∃⊬A0B%∃⊬19E9)=∃⊬2B1","reverse_text":"∃⊬2B1=∃⊬75A⪛∃⊬E56⨳⩥⨓(∃⊬A0B%∃⊬19E9)","cot":[{"info":"∃⊬75A⪛∃⊬E56=∃⊬75A","layer":1},{"info":"∃⊬A0B%∃⊬19E9=∃⊬A0B","layer":1},{"info":"∃⊬75A⨳⩥⨓∃⊬A0B=∃⊬2B1","layer":0}]}
+{"id":131,"expression_no_base_symbol":"$1173$+⇶⊼$4644$-($3628$⫡⨏$5407$)","expression":"∃⊬495+⇶⊼∃⊬1224-(∃⊬E2C⫡⨏∃⊬151F)","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":1173,"base":16},"right_expr":{"type":"numeric_atoms","value":4644,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3628,"base":16},"right_expr":{"type":"numeric_atoms","value":5407,"base":16}}},"used_operators":["rysDP5nf3Z","TpPTUOHfaN","QMFrweE19q"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1173","layer":2},{"info":"number node, value=4644","layer":2},{"info":"compute binary expreesion, left_input=1173, right_input=4644, 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=3628","layer":2},{"info":"number node, value=5407","layer":2},{"info":"compute binary expreesion, left_input=3628, right_input=5407, 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=29737","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=29737, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬495+⇶⊼∃⊬1224-(∃⊬E2C⫡⨏∃⊬151F)=NaN","reverse_text":"NaN=∃⊬495+⇶⊼∃⊬1224-(∃⊬E2C⫡⨏∃⊬151F)","cot":[{"info":"∃⊬495+⇶⊼∃⊬1224=NaN","layer":1},{"info":"∃⊬E2C⫡⨏∃⊬151F=∃⊬7429","layer":1},{"info":"NaN-∃⊬7429=NaN","layer":0}]}
+{"id":132,"expression_no_base_symbol":"($1600$⪨≂$2615$)↺$6207$≧⫂∧$3442$","expression":"(∃⊬640⪨≂∃⊬A37)↺∃⊬183F≧⫂∧∃⊬D72","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":1600,"base":16},"right_expr":{"type":"numeric_atoms","value":2615,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6207,"base":16},"right_expr":{"type":"numeric_atoms","value":3442,"base":16}}},"used_operators":["7j4O788W3g","sdazOOVcIp","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬B99","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1600","layer":2},{"info":"number node, value=2615","layer":2},{"info":"compute binary expreesion, left_input=1600, right_input=2615, 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=-1928","layer":1},{"info":"number node, value=6207","layer":2},{"info":"number node, value=3442","layer":2},{"info":"compute binary expreesion, left_input=6207, right_input=3442, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2969","layer":1},{"info":"compute binary expreesion, left_input=-1928, right_input=2969, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2969","layer":0}],"base":16,"result_base":16,"text":"(∃⊬640⪨≂∃⊬A37)↺∃⊬183F≧⫂∧∃⊬D72=∃⊬B99","reverse_text":"∃⊬B99=(∃⊬640⪨≂∃⊬A37)↺∃⊬183F≧⫂∧∃⊬D72","cot":[{"info":"∃⊬640⪨≂∃⊬A37=∃⊬-788","layer":1},{"info":"∃⊬183F≧⫂∧∃⊬D72=∃⊬B99","layer":1},{"info":"∃⊬-788↺∃⊬B99=∃⊬B99","layer":0}]}
+{"id":133,"expression_no_base_symbol":"($5364$⫸⊐$4399$)⫸⊐$1127$≎⊠⪸$1104$","expression":"(∃⊬14F4⫸⊐∃⊬112F)⫸⊐∃⊬467≎⊠⪸∃⊬450","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":318,"operation_count":3,"complexity_ratio":106.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5364,"base":16},"right_expr":{"type":"numeric_atoms","value":4399,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1127,"base":16},"right_expr":{"type":"numeric_atoms","value":1104,"base":16}}},"used_operators":["mqXw5SEYmG","bJkvcejdHO"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬11C8F3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5364","layer":2},{"info":"number node, value=4399","layer":2},{"info":"compute binary expreesion, left_input=5364, right_input=4399, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17471","layer":1},{"info":"number node, value=1127","layer":2},{"info":"number node, value=1104","layer":2},{"info":"compute binary expreesion, left_input=1127, right_input=1104, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=291420","layer":1},{"info":"compute binary expreesion, left_input=17471, right_input=291420, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=1165555","layer":0}],"base":16,"result_base":16,"text":"(∃⊬14F4⫸⊐∃⊬112F)⫸⊐∃⊬467≎⊠⪸∃⊬450=∃⊬11C8F3","reverse_text":"∃⊬11C8F3=(∃⊬14F4⫸⊐∃⊬112F)⫸⊐∃⊬467≎⊠⪸∃⊬450","cot":[{"info":"∃⊬14F4⫸⊐∃⊬112F=∃⊬443F","layer":1},{"info":"∃⊬467≎⊠⪸∃⊬450=∃⊬4725C","layer":1},{"info":"∃⊬443F⫸⊐∃⊬4725C=∃⊬11C8F3","layer":0}]}
+{"id":134,"expression_no_base_symbol":"($2180$∲⫓$5234$)≫≃","expression":"(∃⊬884∲⫓∃⊬1472)≫≃","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":2180,"base":16},"right_expr":{"type":"numeric_atoms","value":5234,"base":16}}},"used_operators":["X99M06cbEe","i8ToyICDmI"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬579","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2180","layer":2},{"info":"number node, value=5234","layer":2},{"info":"compute binary expreesion, left_input=2180, right_input=5234, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":0}],"base":16,"result_base":16,"text":"(∃⊬884∲⫓∃⊬1472)≫≃=∃⊬579","reverse_text":"∃⊬579=(∃⊬884∲⫓∃⊬1472)≫≃","cot":[{"info":"∃⊬884∲⫓∃⊬1472=∃⊬0","layer":1},{"info":"∃⊬0≫≃=∃⊬579","layer":0}]}
+{"id":135,"expression_no_base_symbol":"↩($4463$⨵⪆$2093$)","expression":"↩(∃⊬116F⨵⪆∃⊬82D)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":2,"complexity_ratio":8.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4463,"base":16},"right_expr":{"type":"numeric_atoms","value":2093,"base":16}}},"used_operators":["jLgFTUHLKL","2DQ55sFlQl"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬5DC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4463","layer":2},{"info":"number node, value=2093","layer":2},{"info":"compute binary expreesion, left_input=4463, right_input=2093, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=1500","layer":0}],"base":16,"result_base":16,"text":"↩(∃⊬116F⨵⪆∃⊬82D)=∃⊬5DC","reverse_text":"∃⊬5DC=↩(∃⊬116F⨵⪆∃⊬82D)","cot":[{"info":"∃⊬116F⨵⪆∃⊬82D=∃⊬A0","layer":1},{"info":"↩∃⊬A0=∃⊬5DC","layer":0}]}
+{"id":136,"expression_no_base_symbol":"↩$3907$≎⊠⪸$3703$","expression":"↩∃⊬F43≎⊠⪸∃⊬E77","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":3907,"base":16},"right_expr":{"type":"numeric_atoms","value":3703,"base":16}}},"used_operators":["jLgFTUHLKL","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬-7B6CA4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3907","layer":2},{"info":"number node, value=3703","layer":2},{"info":"compute binary expreesion, left_input=3907, right_input=3703, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1011440","layer":1},{"info":"compute unary expreesion, input=1011440, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8088740","layer":0}],"base":16,"result_base":16,"text":"↩∃⊬F43≎⊠⪸∃⊬E77=∃⊬-7B6CA4","reverse_text":"∃⊬-7B6CA4=↩∃⊬F43≎⊠⪸∃⊬E77","cot":[{"info":"∃⊬F43≎⊠⪸∃⊬E77=∃⊬F6EF0","layer":1},{"info":"↩∃⊬F6EF0=∃⊬-7B6CA4","layer":0}]}
+{"id":137,"expression_no_base_symbol":"$7555$⊴$3783$⨟⋌⩍($2880$⨳⩥⨓$1227$)","expression":"∃⊬1D83⊴∃⊬EC7⨟⋌⩍(∃⊬B40⨳⩥⨓∃⊬4CB)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17275,"operation_count":3,"complexity_ratio":5758.333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7555,"base":16},"right_expr":{"type":"numeric_atoms","value":3783,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2880,"base":16},"right_expr":{"type":"numeric_atoms","value":1227,"base":16}}},"used_operators":["rGHVDoGpnC","Nsiff2A1zJ","nCS4ZIUYfx"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7555","layer":2},{"info":"number node, value=3783","layer":2},{"info":"compute binary expreesion, left_input=7555, right_input=3783, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2880","layer":2},{"info":"number node, value=1227","layer":2},{"info":"compute binary expreesion, left_input=2880, right_input=1227, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1653","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1653, 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":16,"result_base":16,"text":"∃⊬1D83⊴∃⊬EC7⨟⋌⩍(∃⊬B40⨳⩥⨓∃⊬4CB)=NaN","reverse_text":"NaN=∃⊬1D83⊴∃⊬EC7⨟⋌⩍(∃⊬B40⨳⩥⨓∃⊬4CB)","cot":[{"info":"∃⊬1D83⊴∃⊬EC7=NaN","layer":1},{"info":"∃⊬B40⨳⩥⨓∃⊬4CB=∃⊬-675","layer":1},{"info":"NaN��⋌⩍∃⊬-675=NaN","layer":0}]}
+{"id":138,"expression_no_base_symbol":"$6588$⫥∨⫟$1005$⪄$1167$⨐⩸⫘$2712$","expression":"∃⊬19BC⫥∨⫟∃⊬3ED⪄∃⊬48F⨐⩸⫘∃⊬A98","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":176,"operation_count":3,"complexity_ratio":58.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6588,"base":16},"right_expr":{"type":"numeric_atoms","value":1005,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1167,"base":16},"right_expr":{"type":"numeric_atoms","value":2712,"base":16}}},"used_operators":["SUmda5xLS4","KYD54nUTWz","fu6greOZ01"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6588","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=6588, right_input=1005, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1167","layer":2},{"info":"number node, value=2712","layer":2},{"info":"compute binary expreesion, left_input=1167, right_input=2712, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":16,"result_base":16,"text":"∃⊬19BC⫥∨⫟∃⊬3ED⪄∃⊬48F⨐⩸⫘∃⊬A98=∃⊬F8B","reverse_text":"∃⊬F8B=∃⊬19BC⫥∨⫟∃⊬3ED⪄∃⊬48F⨐⩸⫘∃⊬A98","cot":[{"info":"∃⊬19BC⫥∨⫟∃⊬3ED=NaN","layer":1},{"info":"∃⊬48F⨐⩸⫘∃⊬A98=NaN","layer":1},{"info":"NaN⪄NaN=∃⊬F8B","layer":0}]}
+{"id":139,"expression_no_base_symbol":"($1804$/$6263$)⪄(⨰⫟⨤$3688$)","expression":"(∃⊬70C/∃⊬1877)⪄(⨰⫟⨤∃⊬E68)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13936,"operation_count":3,"complexity_ratio":4645.333333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1804,"base":16},"right_expr":{"type":"numeric_atoms","value":6263,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3688,"base":16}}},"used_operators":["SUmda5xLS4","XhwjNDsVaA","Tw270M8GLb"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1804","layer":2},{"info":"number node, value=6263","layer":2},{"info":"compute binary expreesion, left_input=1804, right_input=6263, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3688","layer":2},{"info":"compute unary expreesion, input=3688, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬70C/∃⊬1877)⪄(⨰⫟⨤∃⊬E68)=NaN","reverse_text":"NaN=(∃⊬70C/∃⊬1877)⪄(⨰⫟⨤∃⊬E68)","cot":[{"info":"∃⊬70C/∃⊬1877=∃⊬0","layer":1},{"info":"⨰⫟⨤∃⊬E68=NaN","layer":1},{"info":"∃⊬0⪄NaN=NaN","layer":0}]}
+{"id":140,"expression_no_base_symbol":"(-$1001$)-$4401$≹⇙⪍$7178$","expression":"(-∃⊬3E9)-∃⊬1131≹⇙⪍∃⊬1C0A","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":1001,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4401,"base":16},"right_expr":{"type":"numeric_atoms","value":7178,"base":16}}},"used_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"dependent_operators":["dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":2},{"info":"compute unary expreesion, input=1001, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1001","layer":1},{"info":"number node, value=4401","layer":2},{"info":"number node, value=7178","layer":2},{"info":"compute binary expreesion, left_input=4401, right_input=7178, 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=-1001, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬3E9)-∃⊬1131≹⇙⪍∃⊬1C0A=NaN","reverse_text":"NaN=(-∃⊬3E9)-∃⊬1131≹⇙⪍∃⊬1C0A","cot":[{"info":"-∃⊬3E9=∃⊬-3E9","layer":1},{"info":"∃⊬1131≹⇙⪍∃⊬1C0A=NaN","layer":1},{"info":"∃⊬-3E9-NaN=NaN","layer":0}]}
+{"id":141,"expression_no_base_symbol":"(⊄⩳↩$1013$)⋥≓≎($3187$⪄$2741$)","expression":"(⊄⩳↩∃⊬3F5)⋥≓≎(∃⊬C73⪄∃⊬AB5)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":100,"operation_count":3,"complexity_ratio":33.333333333333336,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1013,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3187,"base":16},"right_expr":{"type":"numeric_atoms","value":2741,"base":16}}},"used_operators":["Qy55tPpLXF","8w2t5hMYqp","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":2},{"info":"compute unary expreesion, input=1013, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3039","layer":1},{"info":"number node, value=3187","layer":2},{"info":"number node, value=2741","layer":2},{"info":"compute binary expreesion, left_input=3187, right_input=2741, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-478729","layer":1},{"info":"compute binary expreesion, left_input=-3039, right_input=-478729, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"(⊄⩳↩∃⊬3F5)⋥≓≎(∃⊬C73⪄∃⊬AB5)=∃⊬43","reverse_text":"∃⊬43=(⊄⩳↩∃⊬3F5)⋥≓≎(∃⊬C73⪄∃⊬AB5)","cot":[{"info":"⊄⩳↩∃⊬3F5=∃⊬-BDF","layer":1},{"info":"∃⊬C73⪄∃⊬AB5=∃⊬-74E09","layer":1},{"info":"∃⊬-BDF⋥≓≎∃⊬-74E09=∃⊬43","layer":0}]}
+{"id":142,"expression_no_base_symbol":"$1757$⪛$4602$+⇶⊼$1752$⇷$1892$","expression":"∃⊬6DD⪛∃⊬11FA+⇶⊼∃⊬6D8⇷∃⊬764","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24539,"operation_count":3,"complexity_ratio":8179.666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1757,"base":16},"right_expr":{"type":"numeric_atoms","value":4602,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1752,"base":16},"right_expr":{"type":"numeric_atoms","value":1892,"base":16}}},"used_operators":["TpPTUOHfaN","uFcxV4UQCh","mp7IySMOzn"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1757","layer":2},{"info":"number node, value=4602","layer":2},{"info":"compute binary expreesion, left_input=1757, right_input=4602, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1757","layer":1},{"info":"number node, value=1752","layer":2},{"info":"number node, value=1892","layer":2},{"info":"compute binary expreesion, left_input=1752, right_input=1892, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3784","layer":1},{"info":"compute binary expreesion, left_input=1757, right_input=3784, 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":16,"result_base":16,"text":"∃⊬6DD⪛∃⊬11FA+⇶⊼∃⊬6D8⇷∃⊬764=NaN","reverse_text":"NaN=∃⊬6DD⪛∃⊬11FA+⇶⊼∃⊬6D8⇷∃⊬764","cot":[{"info":"∃⊬6DD⪛∃⊬11FA=∃⊬6DD","layer":1},{"info":"∃⊬6D8⇷∃⊬764=∃⊬EC8","layer":1},{"info":"∃⊬6DD+⇶⊼∃⊬EC8=NaN","layer":0}]}
+{"id":143,"expression_no_base_symbol":"↯⪼(⇁⨣⪵$3239$)","expression":"↯⪼(⇁⨣⪵∃���CA7)","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":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3239,"base":16}}},"used_operators":["8jW3W4yZS5","inkyxCbjAn"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3239","layer":2},{"info":"compute unary expreesion, input=3239, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"↯⪼(⇁⨣⪵∃⊬CA7)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(⇁⨣⪵∃⊬CA7)","cot":[{"info":"⇁⨣⪵∃⊬CA7=NaN","layer":1},{"info":"↯⪼NaN=∃⊬-15","layer":0}]}
+{"id":144,"expression_no_base_symbol":"$1461$⪛$4803$∲⫓$2470$⪮%⊝$2585$","expression":"∃⊬5B5⪛∃⊬12C3∲⫓∃⊬9A6⪮%⊝∃⊬A19","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":1461,"base":16},"right_expr":{"type":"numeric_atoms","value":4803,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2470,"base":16},"right_expr":{"type":"numeric_atoms","value":2585,"base":16}}},"used_operators":["i8ToyICDmI","uFcxV4UQCh","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":2},{"info":"number node, value=4803","layer":2},{"info":"compute binary expreesion, left_input=1461, right_input=4803, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1461","layer":1},{"info":"number node, value=2470","layer":2},{"info":"number node, value=2585","layer":2},{"info":"compute binary expreesion, left_input=2470, right_input=2585, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5256","layer":1},{"info":"compute binary expreesion, left_input=1461, right_input=5256, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬5B5⪛∃⊬12C3∲⫓∃⊬9A6⪮%⊝∃⊬A19=∃⊬0","reverse_text":"∃⊬0=∃⊬5B5⪛∃⊬12C3∲⫓∃⊬9A6⪮%⊝∃⊬A19","cot":[{"info":"∃⊬5B5⪛∃⊬12C3=∃⊬5B5","layer":1},{"info":"∃⊬9A6⪮%⊝∃⊬A19=∃⊬1488","layer":1},{"info":"∃⊬5B5∲⫓∃⊬1488=∃⊬0","layer":0}]}
+{"id":145,"expression_no_base_symbol":"($4797$⨟⋌⩍$2539$)⪢($2930$⨸⪁$3343$)","expression":"(∃⊬12BD⨟⋌⩍∃⊬9EB)⪢(∃⊬B72⨸⪁∃⊬D0F)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12550,"operation_count":3,"complexity_ratio":4183.333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4797,"base":16},"right_expr":{"type":"numeric_atoms","value":2539,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2930,"base":16},"right_expr":{"type":"numeric_atoms","value":3343,"base":16}}},"used_operators":["dWAJyo7jo9","rGHVDoGpnC","g55IO6H4Gj"],"dependent_operators":["k8jYdgA6NY","Tcnh7f0tEr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4797","layer":2},{"info":"number node, value=2539","layer":2},{"info":"compute binary expreesion, left_input=4797, right_input=2539, 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=2930","layer":2},{"info":"number node, value=3343","layer":2},{"info":"compute binary expreesion, left_input=2930, right_input=3343, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12546","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12546, 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":16,"result_base":16,"text":"(∃⊬12BD⨟⋌⩍∃⊬9EB)⪢(∃⊬B72⨸⪁∃⊬D0F)=NaN","reverse_text":"NaN=(∃⊬12BD⨟⋌⩍∃⊬9EB)⪢(∃⊬B72⨸⪁∃⊬D0F)","cot":[{"info":"∃⊬12BD⨟⋌⩍∃⊬9EB=NaN","layer":1},{"info":"∃⊬B72⨸⪁∃⊬D0F=∃⊬3102","layer":1},{"info":"NaN⪢∃⊬3102=NaN","layer":0}]}
+{"id":146,"expression_no_base_symbol":"($2582$-$5755$)⫥∨⫟(⨞⊢$1456$)","expression":"(∃⊬A16-∃⊬167B)⫥∨⫟(⨞⊢∃⊬5B0)","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":2582,"base":16},"right_expr":{"type":"numeric_atoms","value":5755,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1456,"base":16}}},"used_operators":["KYD54nUTWz","rysDP5nf3Z","xUOZtlo3hN"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2582","layer":2},{"info":"number node, value=5755","layer":2},{"info":"compute binary expreesion, left_input=2582, right_input=5755, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3173","layer":1},{"info":"number node, value=1456","layer":2},{"info":"compute unary expreesion, input=1456, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1630","layer":1},{"info":"compute binary expreesion, left_input=-3173, right_input=-1630, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A16-∃⊬167B)⫥∨⫟(⨞⊢∃⊬5B0)=NaN","reverse_text":"NaN=(∃⊬A16-∃⊬167B)⫥∨⫟(⨞⊢∃⊬5B0)","cot":[{"info":"∃⊬A16-∃⊬167B=∃⊬-C65","layer":1},{"info":"⨞⊢∃⊬5B0=∃⊬-65E","layer":1},{"info":"∃⊬-C65⫥∨⫟∃⊬-65E=NaN","layer":0}]}
+{"id":147,"expression_no_base_symbol":"$2380$≭$1788$⫥∨⫟(+⊝⨔$3020$)","expression":"∃⊬94C≭∃⊬6FC⫥∨⫟(+⊝⨔∃⊬BCC)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":195,"operation_count":3,"complexity_ratio":65.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2380,"base":16},"right_expr":{"type":"numeric_atoms","value":1788,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3020,"base":16}}},"used_operators":["KYD54nUTWz","rxpJgHHUmx","DhbWaqg5eL"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2380","layer":2},{"info":"number node, value=1788","layer":2},{"info":"compute binary expreesion, left_input=2380, right_input=1788, 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=3020","layer":2},{"info":"compute unary expreesion, input=3020, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬94C≭∃⊬6FC⫥∨⫟(+⊝⨔∃⊬BCC)=NaN","reverse_text":"NaN=∃⊬94C≭∃⊬6FC⫥∨⫟(+⊝⨔∃⊬BCC)","cot":[{"info":"∃⊬94C≭∃⊬6FC=NaN","layer":1},{"info":"+⊝⨔∃⊬BCC=∃⊬5F2","layer":1},{"info":"NaN⫥∨⫟∃⊬5F2=NaN","layer":0}]}
+{"id":148,"expression_no_base_symbol":"$1420$⪄$1340$⪒$1262$↙$3132$","expression":"∃⊬58C⪄∃⊬53C⪒∃⊬4EE↙∃⊬C3C","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3233,"operation_count":3,"complexity_ratio":1077.6666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1420,"base":16},"right_expr":{"type":"numeric_atoms","value":1340,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1262,"base":16},"right_expr":{"type":"numeric_atoms","value":3132,"base":16}}},"used_operators":["f6k1SAg4EE","SUmda5xLS4","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬35F4D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1420","layer":2},{"info":"number node, value=1340","layer":2},{"info":"compute binary expreesion, left_input=1420, right_input=1340, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-211609","layer":1},{"info":"number node, value=1262","layer":2},{"info":"number node, value=3132","layer":2},{"info":"compute binary expreesion, left_input=1262, right_input=3132, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9396","layer":1},{"info":"compute binary expreesion, left_input=-211609, right_input=-9396, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=221005","layer":0}],"base":16,"result_base":16,"text":"∃⊬58C⪄∃⊬53C⪒∃⊬4EE↙∃⊬C3C=∃⊬35F4D","reverse_text":"∃⊬35F4D=∃⊬58C⪄∃⊬53C⪒∃⊬4EE↙∃⊬C3C","cot":[{"info":"∃⊬58C⪄∃⊬53C=∃⊬-33A99","layer":1},{"info":"∃⊬4EE↙∃⊬C3C=∃⊬-24B4","layer":1},{"info":"∃⊬-33A99⪒∃⊬-24B4=∃⊬35F4D","layer":0}]}
+{"id":149,"expression_no_base_symbol":"$1533$∀⇚≩$6008$*($3724$∲⫓$1906$)","expression":"∃⊬5FD∀⇚≩∃⊬1778*(∃⊬E8C∲⫓∃⊬772)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10734,"operation_count":3,"complexity_ratio":3578.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1533,"base":16},"right_expr":{"type":"numeric_atoms","value":6008,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3724,"base":16},"right_expr":{"type":"numeric_atoms","value":1906,"base":16}}},"used_operators":["9HNa5Wba9A","LRNGc0VcxI","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1533","layer":2},{"info":"number node, value=6008","layer":2},{"info":"compute binary expreesion, left_input=1533, right_input=6008, 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=3724","layer":2},{"info":"number node, value=1906","layer":2},{"info":"compute binary expreesion, left_input=3724, right_input=1906, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬5FD∀⇚≩∃⊬1778*(∃⊬E8C∲⫓∃⊬772)=NaN","reverse_text":"NaN=∃⊬5FD∀⇚≩∃⊬1778*(∃⊬E8C∲⫓∃⊬772)","cot":[{"info":"∃⊬5FD∀⇚≩∃⊬1778=NaN","layer":1},{"info":"∃⊬E8C∲⫓∃⊬772=∃⊬0","layer":1},{"info":"NaN*∃⊬0=NaN","layer":0}]}
+{"id":150,"expression_no_base_symbol":"($7643$⋫)≎⊠⪸$1265$≧⫂∧$1115$","expression":"(∃⊬1DDB⋫)≎⊠⪸∃⊬4F1≧⫂∧∃⊬45B","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7914,"operation_count":3,"complexity_ratio":2638.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7643,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1265,"base":16},"right_expr":{"type":"numeric_atoms","value":1115,"base":16}}},"used_operators":["bJkvcejdHO","JL8yIekQnl","Ph9nP6C5qx"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬1E32B8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7643","layer":2},{"info":"compute unary expreesion, input=7643, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7643","layer":1},{"info":"number node, value=1265","layer":2},{"info":"number node, value=1115","layer":2},{"info":"compute binary expreesion, left_input=1265, right_input=1115, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=642","layer":1},{"info":"compute binary expreesion, left_input=7643, right_input=642, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1979064","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1DDB⋫)≎⊠⪸∃⊬4F1≧⫂∧∃⊬45B=∃⊬1E32B8","reverse_text":"∃⊬1E32B8=(∃⊬1DDB⋫)≎⊠⪸∃⊬4F1≧⫂∧∃⊬45B","cot":[{"info":"∃⊬1DDB⋫=∃⊬1DDB","layer":1},{"info":"∃⊬4F1≧⫂∧∃⊬45B=∃⊬282","layer":1},{"info":"∃⊬1DDB≎⊠⪸∃⊬282=∃⊬1E32B8","layer":0}]}
+{"id":151,"expression_no_base_symbol":"($1884$≦≮≮)⋷(⊙↵-$2805$)","expression":"(∃⊬75C≦≮≮)⋷(⊙↵-∃⊬AF5)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2856,"operation_count":3,"complexity_ratio":952.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1884,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2805,"base":16}}},"used_operators":["23Mk6UjR3U","D4vGDi5EA2","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬2C28","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1884","layer":2},{"info":"compute unary expreesion, input=1884, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5652","layer":1},{"info":"number node, value=2805","layer":2},{"info":"compute unary expreesion, input=2805, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-5652, right_input=-1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11304","layer":0}],"base":16,"result_base":16,"text":"(∃⊬75C≦≮≮)⋷(⊙↵-∃⊬AF5)=∃⊬2C28","reverse_text":"∃⊬2C28=(∃⊬75C≦≮≮)⋷(⊙↵-∃⊬AF5)","cot":[{"info":"∃⊬75C≦≮≮=∃⊬-1614","layer":1},{"info":"⊙↵-∃⊬AF5=∃⊬-1","layer":1},{"info":"∃⊬-1614⋷∃⊬-1=∃⊬2C28","layer":0}]}
+{"id":152,"expression_no_base_symbol":"$1256$≎⊠⪸$6092$∲⫓$3692$⪄$1721$","expression":"∃⊬4E8≎⊠⪸∃⊬17CC∲⫓∃⊬E6C⪄∃⊬6B9","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":366,"operation_count":3,"complexity_ratio":122.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1256,"base":16},"right_expr":{"type":"numeric_atoms","value":6092,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3692,"base":16},"right_expr":{"type":"numeric_atoms","value":1721,"base":16}}},"used_operators":["i8ToyICDmI","bJkvcejdHO","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬4F4DF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1256","layer":2},{"info":"number node, value=6092","layer":2},{"info":"compute binary expreesion, left_input=1256, right_input=6092, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=324831","layer":1},{"info":"number node, value=3692","layer":2},{"info":"number node, value=1721","layer":2},{"info":"compute binary expreesion, left_input=3692, right_input=1721, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-549389","layer":1},{"info":"compute binary expreesion, left_input=324831, right_input=-549389, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=324831","layer":0}],"base":16,"result_base":16,"text":"∃⊬4E8≎⊠⪸∃⊬17CC∲⫓∃⊬E6C⪄∃⊬6B9=∃⊬4F4DF","reverse_text":"∃⊬4F4DF=∃⊬4E8≎⊠⪸∃⊬17CC∲⫓∃⊬E6C⪄∃⊬6B9","cot":[{"info":"∃⊬4E8≎⊠⪸∃⊬17CC=∃⊬4F4DF","layer":1},{"info":"∃⊬E6C⪄∃⊬6B9=∃⊬-8620D","layer":1},{"info":"∃⊬4F4DF∲⫓∃⊬-8620D=∃⊬4F4DF","layer":0}]}
+{"id":153,"expression_no_base_symbol":"≤/$1132$⨟⋌⩍$1255$","expression":"≤/∃⊬46C⨟⋌⩍∃⊬4E7","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":1132,"base":16},"right_expr":{"type":"numeric_atoms","value":1255,"base":16}}},"used_operators":["eLAdDNolq6","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1132","layer":2},{"info":"number node, value=1255","layer":2},{"info":"compute binary expreesion, left_input=1132, right_input=1255, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≤/∃⊬46C⨟⋌⩍∃⊬4E7=NaN","reverse_text":"NaN=≤/∃⊬46C⨟⋌⩍∃⊬4E7","cot":[{"info":"∃⊬46C⨟⋌⩍∃⊬4E7=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
+{"id":154,"expression_no_base_symbol":"⪝⪂⫅$2375$⪘⫢$3181$","expression":"⪝⪂⫅∃⊬947⪘⫢∃⊬C6D","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":165,"operation_count":2,"complexity_ratio":82.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2375,"base":16},"right_expr":{"type":"numeric_atoms","value":3181,"base":16}}},"used_operators":["XTarYq4gQB","oacrs7FA3X"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬-A6056","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2375","layer":2},{"info":"number node, value=3181","layer":2},{"info":"compute binary expreesion, left_input=2375, right_input=3181, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4626","layer":1},{"info":"compute unary expreesion, input=4626, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-680022","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅∃⊬947⪘⫢∃⊬C6D=∃⊬-A6056","reverse_text":"∃⊬-A6056=⪝⪂⫅∃⊬947⪘⫢∃⊬C6D","cot":[{"info":"∃⊬947⪘⫢∃⊬C6D=∃⊬1212","layer":1},{"info":"⪝⪂⫅∃⊬1212=∃⊬-A6056","layer":0}]}
+{"id":155,"expression_no_base_symbol":"$3927$⨰$8828$⪨≂$2021$⇼⇔∾$4266$","expression":"∃⊬F57⨰∃⊬227C⪨≂∃⊬7E5⇼⇔∾∃⊬10AA","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":3927,"base":16},"right_expr":{"type":"numeric_atoms","value":8828,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2021,"base":16},"right_expr":{"type":"numeric_atoms","value":4266,"base":16}}},"used_operators":["sdazOOVcIp","eewbuw0ToL","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-375A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3927","layer":2},{"info":"number node, value=8828","layer":2},{"info":"compute binary expreesion, left_input=3927, right_input=8828, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4891","layer":1},{"info":"number node, value=2021","layer":2},{"info":"number node, value=4266","layer":2},{"info":"compute binary expreesion, left_input=2021, right_input=4266, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2245","layer":1},{"info":"compute binary expreesion, left_input=-4891, right_input=2245, 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=-14170","layer":0}],"base":16,"result_base":16,"text":"∃⊬F57⨰∃⊬227C⪨≂∃⊬7E5⇼⇔∾∃⊬10AA=∃⊬-375A","reverse_text":"∃⊬-375A=∃⊬F57⨰∃⊬227C⪨≂∃⊬7E5⇼⇔∾∃⊬10AA","cot":[{"info":"∃⊬F57⨰∃⊬227C=∃⊬-131B","layer":1},{"info":"∃⊬7E5⇼⇔∾∃⊬10AA=∃⊬8C5","layer":1},{"info":"∃⊬-131B⪨≂∃⊬8C5=∃⊬-375A","layer":0}]}
+{"id":156,"expression_no_base_symbol":"(-$7897$)⩨$2846$⋓$1410$","expression":"(-∃⊬1ED9)⩨∃⊬B1E⋓∃⊬582","highest_n_order":3,"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":7897,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2846,"base":16},"right_expr":{"type":"numeric_atoms","value":1410,"base":16}}},"used_operators":["2DlMacCsIx","t8gj7n24qd","T2fj7uvVaJ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7897","layer":2},{"info":"compute unary expreesion, input=7897, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7897","layer":1},{"info":"number node, value=2846","layer":2},{"info":"number node, value=1410","layer":2},{"info":"compute binary expreesion, left_input=2846, right_input=1410, 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=-7897, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬1ED9)⩨∃⊬B1E⋓∃⊬582=∃⊬0","reverse_text":"∃⊬0=(-∃⊬1ED9)⩨∃⊬B1E⋓∃⊬582","cot":[{"info":"-∃⊬1ED9=∃⊬-1ED9","layer":1},{"info":"∃⊬B1E⋓∃⊬582=∃⊬0","layer":1},{"info":"∃⊬-1ED9⩨∃⊬0=∃⊬0","layer":0}]}
+{"id":157,"expression_no_base_symbol":"$2280$⊴$2629$*$7802$⨽$6569$","expression":"∃⊬8E8⊴∃⊬A45*∃⊬1E7A⨽∃⊬19A9","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10447,"operation_count":3,"complexity_ratio":3482.3333333333335,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2280,"base":16},"right_expr":{"type":"numeric_atoms","value":2629,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7802,"base":16},"right_expr":{"type":"numeric_atoms","value":6569,"base":16}}},"used_operators":["9HNa5Wba9A","Nsiff2A1zJ","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2280","layer":2},{"info":"number node, value=2629","layer":2},{"info":"compute binary expreesion, left_input=2280, right_input=2629, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=7802","layer":2},{"info":"number node, value=6569","layer":2},{"info":"compute binary expreesion, left_input=7802, right_input=6569, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-182632005","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-182632005, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬8E8⊴∃⊬A45*∃⊬1E7A⨽∃⊬19A9=NaN","reverse_text":"NaN=∃⊬8E8⊴∃⊬A45*∃⊬1E7A⨽∃⊬19A9","cot":[{"info":"∃⊬8E8⊴∃⊬A45=NaN","layer":1},{"info":"∃⊬1E7A⨽∃⊬19A9=∃⊬-AE2BE45","layer":1},{"info":"NaN*∃⊬-AE2BE45=NaN","layer":0}]}
+{"id":158,"expression_no_base_symbol":"$5942$↙$4774$⫡⨏$5420$+⇶⊼$3406$","expression":"∃⊬1736↙∃⊬12A6⫡⨏∃⊬152C+⇶⊼∃⊬D4E","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4785,"operation_count":3,"complexity_ratio":1595.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5942,"base":16},"right_expr":{"type":"numeric_atoms","value":4774,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5420,"base":16},"right_expr":{"type":"numeric_atoms","value":3406,"base":16}}},"used_operators":["QMFrweE19q","yyfyN0ffXY","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5942","layer":2},{"info":"number node, value=4774","layer":2},{"info":"compute binary expreesion, left_input=5942, right_input=4774, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14322","layer":1},{"info":"number node, value=5420","layer":2},{"info":"number node, value=3406","layer":2},{"info":"compute binary expreesion, left_input=5420, right_input=3406, 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=-14322, 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":16,"result_base":16,"text":"∃⊬1736↙∃⊬12A6⫡⨏∃⊬152C+⇶⊼∃⊬D4E=NaN","reverse_text":"NaN=∃⊬1736↙∃⊬12A6⫡⨏∃⊬152C+⇶⊼∃⊬D4E","cot":[{"info":"∃⊬1736↙∃⊬12A6=∃⊬-37F2","layer":1},{"info":"∃⊬152C+⇶⊼∃⊬D4E=NaN","layer":1},{"info":"∃⊬-37F2⫡⨏NaN=NaN","layer":0}]}
+{"id":159,"expression_no_base_symbol":"↔($2245$⇼⇔∾$1488$)","expression":"↔(∃⊬8C5⇼⇔∾∃⊬5D0)","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":2245,"base":16},"right_expr":{"type":"numeric_atoms","value":1488,"base":16}}},"used_operators":["ruOEQAzv1W","tifHPKVTfV"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-86","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2245","layer":2},{"info":"number node, value=1488","layer":2},{"info":"compute binary expreesion, left_input=2245, right_input=1488, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-757","layer":1},{"info":"compute unary expreesion, input=-757, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":16,"result_base":16,"text":"↔(∃⊬8C5⇼⇔∾∃⊬5D0)=∃⊬-86","reverse_text":"∃⊬-86=↔(∃⊬8C5⇼⇔∾∃⊬5D0)","cot":[{"info":"∃⊬8C5⇼⇔∾∃⊬5D0=∃⊬-2F5","layer":1},{"info":"↔∃⊬-2F5=∃⊬-86","layer":0}]}
+{"id":160,"expression_no_base_symbol":"⪝⪂⫅($4147$⨓$3801$)","expression":"⪝⪂⫅(∃⊬1033⨓∃⊬ED9)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3957,"operation_count":2,"complexity_ratio":1978.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4147,"base":16},"right_expr":{"type":"numeric_atoms","value":3801,"base":16}}},"used_operators":["XTarYq4gQB","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬88854","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4147","layer":2},{"info":"number node, value=3801","layer":2},{"info":"compute binary expreesion, left_input=4147, right_input=3801, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3804","layer":1},{"info":"compute unary expreesion, input=-3804, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=559188","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅(∃⊬1033⨓∃⊬ED9)=∃⊬88854","reverse_text":"∃⊬88854=⪝⪂⫅(∃⊬1033⨓∃⊬ED9)","cot":[{"info":"∃⊬1033⨓∃⊬ED9=∃⊬-EDC","layer":1},{"info":"⪝⪂⫅∃⊬-EDC=∃⊬88854","layer":0}]}
+{"id":161,"expression_no_base_symbol":"$1121$⊴$3907$∼($6383$∑⇟⊟$5809$)","expression":"∃⊬461⊴∃⊬F43∼(∃⊬18EF∑⇟⊟∃⊬16B1)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3917,"operation_count":3,"complexity_ratio":1305.6666666666667,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1121,"base":16},"right_expr":{"type":"numeric_atoms","value":3907,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6383,"base":16},"right_expr":{"type":"numeric_atoms","value":5809,"base":16}}},"used_operators":["DyGG3AbaNP","Nsiff2A1zJ","U7g4x0WXJJ"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1121","layer":2},{"info":"number node, value=3907","layer":2},{"info":"compute binary expreesion, left_input=1121, right_input=3907, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=6383","layer":2},{"info":"number node, value=5809","layer":2},{"info":"compute binary expreesion, left_input=6383, right_input=5809, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬461⊴∃⊬F43∼(∃⊬18EF∑⇟⊟∃⊬16B1)=NaN","reverse_text":"NaN=∃⊬461⊴∃⊬F43∼(∃⊬18EF∑⇟⊟∃⊬16B1)","cot":[{"info":"∃⊬461⊴∃⊬F43=NaN","layer":1},{"info":"∃⊬18EF∑⇟⊟∃⊬16B1=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
+{"id":162,"expression_no_base_symbol":"(⩦⩻⨪$1163$)⪘⫢($3541$↙$1178$)","expression":"(⩦⩻⨪∃⊬48B)⪘⫢(∃⊬DD5↙∃⊬49A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1193,"operation_count":3,"complexity_ratio":397.6666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1163,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3541,"base":16},"right_expr":{"type":"numeric_atoms","value":1178,"base":16}}},"used_operators":["oacrs7FA3X","2td37pGCOC","yyfyN0ffXY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1163","layer":2},{"info":"compute unary expreesion, input=1163, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1163","layer":1},{"info":"number node, value=3541","layer":2},{"info":"number node, value=1178","layer":2},{"info":"compute binary expreesion, left_input=3541, right_input=1178, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3534","layer":1},{"info":"compute binary expreesion, left_input=1163, right_input=-3534, 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":16,"result_base":16,"text":"(⩦⩻⨪∃⊬48B)⪘⫢(∃⊬DD5↙∃⊬49A)=∃⊬-1","reverse_text":"∃⊬-1=(⩦⩻⨪∃⊬48B)⪘⫢(∃⊬DD5↙∃⊬49A)","cot":[{"info":"⩦⩻⨪∃⊬48B=∃⊬48B","layer":1},{"info":"∃⊬DD5↙∃⊬49A=∃⊬-DCE","layer":1},{"info":"∃⊬48B⪘⫢∃⊬-DCE=∃⊬-1","layer":0}]}
+{"id":163,"expression_no_base_symbol":"$3317$⪨≂$2605$+$2100$⫸⊐$4526$","expression":"∃⊬CF5⪨≂∃⊬A2D+∃⊬834⫸⊐∃⊬11AE","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":3317,"base":16},"right_expr":{"type":"numeric_atoms","value":2605,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2100,"base":16},"right_expr":{"type":"numeric_atoms","value":4526,"base":16}}},"used_operators":["W4YGzv6Whe","sdazOOVcIp","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬4C31","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3317","layer":2},{"info":"number node, value=2605","layer":2},{"info":"compute binary expreesion, left_input=3317, right_input=2605, 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=1526","layer":1},{"info":"number node, value=2100","layer":2},{"info":"number node, value=4526","layer":2},{"info":"compute binary expreesion, left_input=2100, right_input=4526, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17979","layer":1},{"info":"compute binary expreesion, left_input=1526, right_input=17979, op_id = W4YGzv6Whe binary_op_definition= 'None', output=19505","layer":0}],"base":16,"result_base":16,"text":"∃⊬CF5⪨≂∃⊬A2D+∃⊬834⫸⊐∃⊬11AE=∃⊬4C31","reverse_text":"∃⊬4C31=∃⊬CF5⪨≂∃⊬A2D+∃⊬834⫸⊐∃⊬11AE","cot":[{"info":"∃⊬CF5⪨≂∃⊬A2D=∃⊬5F6","layer":1},{"info":"∃⊬834⫸⊐∃⊬11AE=∃⊬463B","layer":1},{"info":"∃⊬5F6+∃⊬463B=∃⊬4C31","layer":0}]}
+{"id":164,"expression_no_base_symbol":"($1848$∧)↪⪝","expression":"(∃⊬738∧)↪⪝","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1848,"base":16}}},"used_operators":["l07mrZUIn9","z63VuFQld9"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1848","layer":2},{"info":"compute unary expreesion, input=1848, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬738∧)↪⪝=NaN","reverse_text":"NaN=(∃⊬738∧)↪⪝","cot":[{"info":"∃⊬738∧=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
+{"id":165,"expression_no_base_symbol":"($1122$⊦⊿)⨰(⨈⫕$1827$)","expression":"(∃⊬462⊦⊿)⨰(⨈⫕∃⊬723)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":398,"operation_count":3,"complexity_ratio":132.66666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1122,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1827,"base":16}}},"used_operators":["eewbuw0ToL","14qkJME0vr","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬-D56","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":2},{"info":"compute unary expreesion, input=1122, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3445","layer":1},{"info":"number node, value=1827","layer":2},{"info":"compute unary expreesion, input=1827, 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=-3445, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3414","layer":0}],"base":16,"result_base":16,"text":"(∃⊬462⊦⊿)⨰(⨈⫕∃⊬723)=∃⊬-D56","reverse_text":"∃⊬-D56=(∃⊬462⊦⊿)⨰(⨈⫕∃⊬723)","cot":[{"info":"∃⊬462⊦⊿=∃⊬-D75","layer":1},{"info":"⨈⫕∃⊬723=∃⊬-15","layer":1},{"info":"∃⊬-D75⨰∃⊬-15=∃⊬-D56","layer":0}]}
+{"id":166,"expression_no_base_symbol":"$1093$⨎$1115$⨸⪁$1140$≧⫂∧$6471$","expression":"∃⊬445⨎∃⊬45B⨸⪁∃⊬474≧⫂∧∃⊬1947","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":1093,"base":16},"right_expr":{"type":"numeric_atoms","value":1115,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1140,"base":16},"right_expr":{"type":"numeric_atoms","value":6471,"base":16}}},"used_operators":["g55IO6H4Gj","rJVOvQCfKK","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬3792","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1093","layer":2},{"info":"number node, value=1115","layer":2},{"info":"compute binary expreesion, left_input=1093, right_input=1115, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1115","layer":1},{"info":"number node, value=1140","layer":2},{"info":"number node, value=6471","layer":2},{"info":"compute binary expreesion, left_input=1140, right_input=6471, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5998","layer":1},{"info":"compute binary expreesion, left_input=1115, right_input=5998, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14226","layer":0}],"base":16,"result_base":16,"text":"∃⊬445⨎∃⊬45B⨸⪁∃⊬474≧⫂∧∃⊬1947=∃⊬3792","reverse_text":"∃⊬3792=∃⊬445⨎∃⊬45B⨸⪁∃⊬474≧⫂∧∃⊬1947","cot":[{"info":"∃⊬445⨎∃⊬45B=∃⊬45B","layer":1},{"info":"∃⊬474≧⫂∧∃⊬1947=∃⊬176E","layer":1},{"info":"∃⊬45B⨸⪁∃⊬176E=∃⊬3792","layer":0}]}
+{"id":167,"expression_no_base_symbol":"⊙↵-($1664$∼$4826$)","expression":"⊙↵-(∃⊬680∼∃⊬12DA)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":61,"operation_count":2,"complexity_ratio":30.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1664,"base":16},"right_expr":{"type":"numeric_atoms","value":4826,"base":16}}},"used_operators":["oWn0xqSxBt","DyGG3AbaNP"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1664","layer":2},{"info":"number node, value=4826","layer":2},{"info":"compute binary expreesion, left_input=1664, right_input=4826, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(∃⊬680∼∃⊬12DA)=NaN","reverse_text":"NaN=⊙↵-(∃⊬680∼∃⊬12DA)","cot":[{"info":"∃⊬680∼∃⊬12DA=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
+{"id":168,"expression_no_base_symbol":"($3059$⫥∨⫟$3979$)≭($3386$-$2635$)","expression":"(∃⊬BF3⫥∨⫟∃⊬F8B)≭(∃⊬D3A-∃⊬A4B)","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":3059,"base":16},"right_expr":{"type":"numeric_atoms","value":3979,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3386,"base":16},"right_expr":{"type":"numeric_atoms","value":2635,"base":16}}},"used_operators":["rxpJgHHUmx","KYD54nUTWz","rysDP5nf3Z"],"dependent_operators":["AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3059","layer":2},{"info":"number node, value=3979","layer":2},{"info":"compute binary expreesion, left_input=3059, right_input=3979, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3386","layer":2},{"info":"number node, value=2635","layer":2},{"info":"compute binary expreesion, left_input=3386, right_input=2635, op_id = rysDP5nf3Z binary_op_definition= 'None', output=751","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=751, 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":16,"result_base":16,"text":"(∃⊬BF3⫥∨⫟∃⊬F8B)≭(∃⊬D3A-∃⊬A4B)=NaN","reverse_text":"NaN=(∃⊬BF3⫥∨⫟∃⊬F8B)≭(∃⊬D3A-∃⊬A4B)","cot":[{"info":"∃⊬BF3⫥∨⫟∃⊬F8B=NaN","layer":1},{"info":"∃⊬D3A-∃⊬A4B=∃⊬2EF","layer":1},{"info":"NaN≭∃⊬2EF=NaN","layer":0}]}
+{"id":169,"expression_no_base_symbol":"($2309$⪒$6024$)⨓($4281$↙$2871$)","expression":"(∃⊬905⪒∃⊬1788)⨓(∃⊬10B9↙∃⊬B37)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11496,"operation_count":3,"complexity_ratio":3832.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2309,"base":16},"right_expr":{"type":"numeric_atoms","value":6024,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4281,"base":16},"right_expr":{"type":"numeric_atoms","value":2871,"base":16}}},"used_operators":["3ViojmjbAp","f6k1SAg4EE","yyfyN0ffXY"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬-21A8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2309","layer":2},{"info":"number node, value=6024","layer":2},{"info":"compute binary expreesion, left_input=2309, right_input=6024, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8333","layer":1},{"info":"number node, value=4281","layer":2},{"info":"number node, value=2871","layer":2},{"info":"compute binary expreesion, left_input=4281, right_input=2871, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8613","layer":1},{"info":"compute binary expreesion, left_input=-8333, right_input=-8613, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8616","layer":0}],"base":16,"result_base":16,"text":"(∃⊬905⪒∃⊬1788)⨓(∃⊬10B9↙∃⊬B37)=∃⊬-21A8","reverse_text":"∃⊬-21A8=(∃⊬905⪒∃⊬1788)⨓(∃⊬10B9↙∃⊬B37)","cot":[{"info":"∃⊬905⪒∃⊬1788=∃⊬-208D","layer":1},{"info":"∃⊬10B9↙∃⊬B37=∃⊬-21A5","layer":1},{"info":"∃⊬-208D⨓∃⊬-21A5=∃⊬-21A8","layer":0}]}
+{"id":170,"expression_no_base_symbol":"$1571$⪛$1387$⩚⊴⇥(≤/$2772$)","expression":"∃⊬623⪛∃⊬56B⩚⊴⇥(≤/∃⊬AD4)","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":1571,"base":16},"right_expr":{"type":"numeric_atoms","value":1387,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2772,"base":16}}},"used_operators":["NTOWxs364D","uFcxV4UQCh","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z"],"result":"∃⊬7BF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1571","layer":2},{"info":"number node, value=1387","layer":2},{"info":"compute binary expreesion, left_input=1571, right_input=1387, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=184","layer":1},{"info":"number node, value=2772","layer":2},{"info":"compute unary expreesion, input=2772, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2288","layer":1},{"info":"compute binary expreesion, left_input=184, right_input=-2288, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1983","layer":0}],"base":16,"result_base":16,"text":"∃⊬623⪛∃⊬56B⩚⊴⇥(≤/∃⊬AD4)=∃⊬7BF","reverse_text":"∃⊬7BF=∃⊬623⪛∃⊬56B⩚⊴⇥(≤/∃⊬AD4)","cot":[{"info":"∃⊬623⪛∃⊬56B=∃⊬B8","layer":1},{"info":"≤/∃⊬AD4=∃⊬-8F0","layer":1},{"info":"∃⊬B8⩚⊴⇥∃⊬-8F0=∃⊬7BF","layer":0}]}
+{"id":171,"expression_no_base_symbol":"(↯⪼$3243$)⋫","expression":"(↯⪼∃⊬CAB)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52,"operation_count":2,"complexity_ratio":26.0,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3243,"base":16}}},"used_operators":["JL8yIekQnl","8jW3W4yZS5"],"dependent_operators":["tmPS8pqC7x","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3243","layer":2},{"info":"compute unary expreesion, input=3243, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=21","layer":0}],"base":16,"result_base":16,"text":"(↯⪼∃⊬CAB)⋫=∃⊬15","reverse_text":"∃⊬15=(↯⪼∃⊬CAB)⋫","cot":[{"info":"↯⪼∃⊬CAB=∃⊬-15","layer":1},{"info":"∃⊬-15⋫=∃⊬15","layer":0}]}
+{"id":172,"expression_no_base_symbol":"∥⊫$1541$⊴$2932$","expression":"∥⊫∃⊬605⊴∃⊬B74","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2941,"operation_count":2,"complexity_ratio":1470.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1541,"base":16},"right_expr":{"type":"numeric_atoms","value":2932,"base":16}}},"used_operators":["P8v4zCKN1o","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1541","layer":2},{"info":"number node, value=2932","layer":2},{"info":"compute binary expreesion, left_input=1541, right_input=2932, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":16,"result_base":16,"text":"∥⊫∃⊬605⊴∃⊬B74=NaN","reverse_text":"NaN=∥⊫∃⊬605⊴∃⊬B74","cot":[{"info":"∃⊬605⊴∃⊬B74=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
+{"id":173,"expression_no_base_symbol":"⨰⫟⨤$2163$⪢$7330$","expression":"⨰⫟⨤∃⊬873⪢∃⊬1CA2","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7359,"operation_count":2,"complexity_ratio":3679.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2163,"base":16},"right_expr":{"type":"numeric_atoms","value":7330,"base":16}}},"used_operators":["Tw270M8GLb","dWAJyo7jo9"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2163","layer":2},{"info":"number node, value=7330","layer":2},{"info":"compute binary expreesion, left_input=2163, right_input=7330, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤∃⊬873⪢∃⊬1CA2=NaN","reverse_text":"NaN=⨰⫟⨤∃⊬873⪢∃⊬1CA2","cot":[{"info":"∃⊬873⪢∃⊬1CA2=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
+{"id":174,"expression_no_base_symbol":"($2357$⫥∨⫟$2515$)⩚⊴⇥($2579$⫌⩹⨱)","expression":"(∃⊬935⫥∨⫟∃⊬9D3)⩚⊴⇥(∃⊬A13⫌⩹⨱)","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":2357,"base":16},"right_expr":{"type":"numeric_atoms","value":2515,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2579,"base":16}}},"used_operators":["NTOWxs364D","KYD54nUTWz","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2357","layer":2},{"info":"number node, value=2515","layer":2},{"info":"compute binary expreesion, left_input=2357, right_input=2515, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2579","layer":2},{"info":"compute unary expreesion, input=2579, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6559","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6559, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬935⫥∨⫟∃⊬9D3)⩚⊴⇥(∃⊬A13⫌⩹⨱)=NaN","reverse_text":"NaN=(∃⊬935⫥∨⫟∃⊬9D3)⩚⊴⇥(∃⊬A13⫌⩹⨱)","cot":[{"info":"∃⊬935⫥∨⫟∃⊬9D3=NaN","layer":1},{"info":"∃⊬A13⫌⩹⨱=∃⊬199F","layer":1},{"info":"NaN⩚⊴⇥∃⊬199F=NaN","layer":0}]}
+{"id":175,"expression_no_base_symbol":"⪝⪂⫅(⨑⩽⪐$1037$)","expression":"⪝⪂⫅(⨑⩽⪐∃⊬40D)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":154,"operation_count":2,"complexity_ratio":77.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1037,"base":16}}},"used_operators":["XTarYq4gQB","AF7qkfDlqP"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬1B6B4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":2},{"info":"compute unary expreesion, input=1037, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-764","layer":1},{"info":"compute unary expreesion, input=-764, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=112308","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅(⨑⩽⪐∃⊬40D)=∃⊬1B6B4","reverse_text":"∃⊬1B6B4=⪝⪂⫅(⨑⩽⪐∃⊬40D)","cot":[{"info":"⨑⩽⪐∃⊬40D=∃⊬-2FC","layer":1},{"info":"⪝⪂⫅∃⊬-2FC=∃⊬1B6B4","layer":0}]}
+{"id":176,"expression_no_base_symbol":"($3448$⫸⊐$5889$)⊠≄⫣","expression":"(∃⊬D78⫸⊐∃⊬1701)⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3448,"base":16},"right_expr":{"type":"numeric_atoms","value":5889,"base":16}}},"used_operators":["DIvbN7qnHd","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3448","layer":2},{"info":"number node, value=5889","layer":2},{"info":"compute binary expreesion, left_input=3448, right_input=5889, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23431","layer":1},{"info":"compute unary expreesion, input=23431, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D78⫸⊐∃⊬1701)⊠≄⫣=∃⊬0","reverse_text":"∃⊬0=(∃⊬D78⫸⊐∃⊬1701)⊠≄⫣","cot":[{"info":"∃⊬D78⫸⊐∃⊬1701=∃⊬5B87","layer":1},{"info":"∃⊬5B87⊠≄⫣=∃⊬0","layer":0}]}
+{"id":177,"expression_no_base_symbol":"(≦∁$1366$)⪒$4235$⪢$6411$","expression":"(≦∁∃⊬556)⪒∃⊬108B⪢∃⊬190B","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6415,"operation_count":3,"complexity_ratio":2138.3333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1366,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4235,"base":16},"right_expr":{"type":"numeric_atoms","value":6411,"base":16}}},"used_operators":["f6k1SAg4EE","9ICcGScMcE","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1366","layer":2},{"info":"compute unary expreesion, input=1366, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1366","layer":1},{"info":"number node, value=4235","layer":2},{"info":"number node, value=6411","layer":2},{"info":"compute binary expreesion, left_input=4235, right_input=6411, 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=1366, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬556)⪒∃⊬108B⪢∃⊬190B=NaN","reverse_text":"NaN=(≦∁∃⊬556)⪒∃⊬108B⪢∃⊬190B","cot":[{"info":"≦∁∃⊬556=∃⊬556","layer":1},{"info":"∃⊬108B⪢∃⊬190B=NaN","layer":1},{"info":"∃⊬556⪒NaN=NaN","layer":0}]}
+{"id":178,"expression_no_base_symbol":"($7665$⋫)⨪↰⇹($1155$⋥≓≎$3282$)","expression":"(∃⊬1DF1⋫)⨪↰⇹(∃⊬483⋥≓≎∃⊬CD2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15334,"operation_count":3,"complexity_ratio":5111.333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7665,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1155,"base":16},"right_expr":{"type":"numeric_atoms","value":3282,"base":16}}},"used_operators":["tmPS8pqC7x","JL8yIekQnl","Qy55tPpLXF"],"dependent_operators":["rJVOvQCfKK","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬1DF1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7665","layer":2},{"info":"compute unary expreesion, input=7665, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7665","layer":1},{"info":"number node, value=1155","layer":2},{"info":"number node, value=3282","layer":2},{"info":"compute binary expreesion, left_input=1155, right_input=3282, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5442","layer":1},{"info":"compute binary expreesion, left_input=7665, right_input=5442, 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=7665","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1DF1⋫)⨪↰⇹(∃⊬483⋥≓≎∃⊬CD2)=∃⊬1DF1","reverse_text":"∃⊬1DF1=(∃⊬1DF1⋫)⨪↰⇹(∃⊬483⋥≓≎∃⊬CD2)","cot":[{"info":"∃⊬1DF1⋫=∃⊬1DF1","layer":1},{"info":"∃⊬483⋥≓≎∃⊬CD2=∃⊬1542","layer":1},{"info":"∃⊬1DF1⨪↰⇹∃⊬1542=∃⊬1DF1","layer":0}]}
+{"id":179,"expression_no_base_symbol":"($2107$≫≃)⩠","expression":"(∃⊬83B≫≃)⩠","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":2107,"base":16}}},"used_operators":["sJAwomhLZr","X99M06cbEe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2107","layer":2},{"info":"compute unary expreesion, input=2107, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5615","layer":1},{"info":"compute unary expreesion, input=5615, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬83B≫≃)⩠=∃⊬0","reverse_text":"∃⊬0=(∃⊬83B≫≃)⩠","cot":[{"info":"∃⊬83B≫≃=∃⊬15EF","layer":1},{"info":"∃⊬15EF⩠=∃⊬0","layer":0}]}
+{"id":180,"expression_no_base_symbol":"⊙↵-($1071$⨽$5890$)","expression":"⊙↵-(∃⊬42F⨽∃⊬1702)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1113,"operation_count":2,"complexity_ratio":556.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1071,"base":16},"right_expr":{"type":"numeric_atoms","value":5890,"base":16}}},"used_operators":["oWn0xqSxBt","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬C4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":2},{"info":"number node, value=5890","layer":2},{"info":"compute binary expreesion, left_input=1071, right_input=5890, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3457479","layer":1},{"info":"compute unary expreesion, input=-3457479, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(∃⊬42F⨽∃⊬1702)=∃⊬C4","reverse_text":"∃⊬C4=⊙↵-(∃⊬42F⨽∃⊬1702)","cot":[{"info":"∃⊬42F⨽∃⊬1702=∃⊬-34C1C7","layer":1},{"info":"⊙↵-∃⊬-34C1C7=∃⊬C4","layer":0}]}
+{"id":181,"expression_no_base_symbol":"$1667$≧⫂∧$1255$↛⩡⫤","expression":"∃⊬683≧⫂∧∃⊬4E7↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2481,"operation_count":2,"complexity_ratio":1240.5,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1667,"base":16},"right_expr":{"type":"numeric_atoms","value":1255,"base":16}}},"used_operators":["FU0Cs4j7VP","Ph9nP6C5qx"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-1BDFB","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1667","layer":2},{"info":"number node, value=1255","layer":2},{"info":"compute binary expreesion, left_input=1667, right_input=1255, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=782","layer":1},{"info":"compute unary expreesion, input=782, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-114171","layer":0}],"base":16,"result_base":16,"text":"∃⊬683≧⫂∧∃⊬4E7↛⩡⫤=∃⊬-1BDFB","reverse_text":"∃⊬-1BDFB=∃⊬683≧⫂∧∃⊬4E7↛⩡⫤","cot":[{"info":"∃⊬683≧⫂∧∃⊬4E7=∃⊬30E","layer":1},{"info":"∃⊬30E↛⩡⫤=∃⊬-1BDFB","layer":0}]}
+{"id":182,"expression_no_base_symbol":"(↣≠⋷$1776$)↬(⫛⫱⨽$2081$)","expression":"(↣≠⋷∃⊬6F0)↬(⫛⫱⨽∃⊬821)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1426,"operation_count":3,"complexity_ratio":475.3333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1776,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2081,"base":16}}},"used_operators":["B5M0gjZbta","Asc51vEJeQ","DlLNRPXxWL"],"dependent_operators":["rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1776","layer":2},{"info":"compute unary expreesion, input=1776, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=2081","layer":2},{"info":"compute unary expreesion, input=2081, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":16,"result_base":16,"text":"(↣≠⋷∃⊬6F0)↬(⫛⫱⨽∃⊬821)=NaN","reverse_text":"NaN=(↣≠⋷∃⊬6F0)↬(⫛⫱⨽∃⊬821)","cot":[{"info":"↣≠⋷∃⊬6F0=NaN","layer":1},{"info":"⫛⫱⨽∃⊬821=∃⊬0","layer":1},{"info":"NaN↬∃⊬0=NaN","layer":0}]}
+{"id":183,"expression_no_base_symbol":"($1495$⨎$1652$)∀⇚≩(⪝⪂⫅$1516$)","expression":"(∃⊬5D7⨎∃⊬674)∀⇚≩(⪝⪂⫅∃⊬5EC)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11715,"operation_count":3,"complexity_ratio":3905.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1495,"base":16},"right_expr":{"type":"numeric_atoms","value":1652,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1516,"base":16}}},"used_operators":["LRNGc0VcxI","rJVOvQCfKK","XTarYq4gQB"],"dependent_operators":["X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1495","layer":2},{"info":"number node, value=1652","layer":2},{"info":"compute binary expreesion, left_input=1495, right_input=1652, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1652","layer":1},{"info":"number node, value=1516","layer":2},{"info":"compute unary expreesion, input=1516, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-222852","layer":1},{"info":"compute binary expreesion, left_input=1652, right_input=-222852, 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":16,"result_base":16,"text":"(∃⊬5D7⨎∃⊬674)∀⇚≩(⪝⪂⫅∃⊬5EC)=NaN","reverse_text":"NaN=(∃⊬5D7⨎∃⊬674)∀⇚≩(⪝⪂⫅∃⊬5EC)","cot":[{"info":"∃⊬5D7⨎∃⊬674=∃⊬674","layer":1},{"info":"⪝⪂⫅∃⊬5EC=∃⊬-36684","layer":1},{"info":"∃⊬674∀⇚≩∃⊬-36684=NaN","layer":0}]}
+{"id":184,"expression_no_base_symbol":"+⊝⨔($2082$⊉≛↸$1295$)","expression":"+⊝⨔(∃⊬822⊉≛↸∃⊬50F)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2082,"base":16},"right_expr":{"type":"numeric_atoms","value":1295,"base":16}}},"used_operators":["DhbWaqg5eL","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2082","layer":2},{"info":"number node, value=1295","layer":2},{"info":"compute binary expreesion, left_input=2082, right_input=1295, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4164","layer":1},{"info":"compute unary expreesion, input=4164, 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":16,"result_base":16,"text":"+⊝⨔(∃⊬822⊉≛↸∃⊬50F)=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(∃⊬822⊉≛↸∃⊬50F)","cot":[{"info":"∃⊬822⊉≛↸∃⊬50F=∃⊬1044","layer":1},{"info":"+⊝⨔∃⊬1044=∃⊬5F2","layer":0}]}
+{"id":185,"expression_no_base_symbol":"∂(⪝⪂⫅$3251$)","expression":"∂(⪝⪂⫅∃⊬CB3)","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":3251,"base":16}}},"used_operators":["Uaa54Peajs","XTarYq4gQB"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp"],"result":"∃⊬749C1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3251","layer":2},{"info":"compute unary expreesion, input=3251, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-477897","layer":1},{"info":"compute unary expreesion, input=-477897, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=477633","layer":0}],"base":16,"result_base":16,"text":"∂(⪝⪂⫅∃⊬CB3)=∃⊬749C1","reverse_text":"∃⊬749C1=∂(⪝⪂⫅∃⊬CB3)","cot":[{"info":"⪝⪂⫅∃⊬CB3=∃⊬-74AC9","layer":1},{"info":"∂∃⊬-74AC9=∃⊬749C1","layer":0}]}
+{"id":186,"expression_no_base_symbol":"$1629$≹⇙⪍$1180$≹⇙⪍($9047$⋳⪒$3344$)","expression":"∃⊬65D≹⇙⪍∃⊬49C≹⇙⪍(∃⊬2357⋳⪒∃⊬D10)","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":1629,"base":16},"right_expr":{"type":"numeric_atoms","value":1180,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":9047,"base":16},"right_expr":{"type":"numeric_atoms","value":3344,"base":16}}},"used_operators":["AHs5Up7iyr","12rbrZMWeM"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1629","layer":2},{"info":"number node, value=1180","layer":2},{"info":"compute binary expreesion, left_input=1629, right_input=1180, 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=9047","layer":2},{"info":"number node, value=3344","layer":2},{"info":"compute binary expreesion, left_input=9047, right_input=3344, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=14463","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14463, 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":16,"result_base":16,"text":"∃⊬65D≹⇙⪍∃⊬49C≹⇙⪍(∃⊬2357⋳⪒∃⊬D10)=NaN","reverse_text":"NaN=∃⊬65D≹⇙⪍∃⊬49C≹⇙⪍(∃⊬2357⋳⪒∃⊬D10)","cot":[{"info":"∃⊬65D≹⇙⪍∃⊬49C=NaN","layer":1},{"info":"∃⊬2357⋳⪒∃⊬D10=∃⊬387F","layer":1},{"info":"NaN≹⇙⪍∃⊬387F=NaN","layer":0}]}
+{"id":187,"expression_no_base_symbol":"(≤/$2555$)⊴(∂$3050$)","expression":"(≤/∃⊬9FB)⊴(∂∃⊬BEA)","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":2555,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3050,"base":16}}},"used_operators":["Nsiff2A1zJ","eLAdDNolq6","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":2},{"info":"compute unary expreesion, input=2555, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2071","layer":1},{"info":"number node, value=3050","layer":2},{"info":"compute unary expreesion, input=3050, 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=-2071, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬9FB)⊴(∂∃⊬BEA)=NaN","reverse_text":"NaN=(≤/∃⊬9FB)⊴(∂∃⊬BEA)","cot":[{"info":"≤/∃⊬9FB=∃⊬-817","layer":1},{"info":"∂∃⊬BEA=NaN","layer":1},{"info":"∃⊬-817⊴NaN=NaN","layer":0}]}
+{"id":188,"expression_no_base_symbol":"($1388$∑⇟⊟$5451$)⪘⫢($1073$∲⫓$8765$)","expression":"(∃⊬56C∑⇟⊟∃⊬154B)⪘⫢(∃⊬431∲⫓∃⊬223D)","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":1388,"base":16},"right_expr":{"type":"numeric_atoms","value":5451,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1073,"base":16},"right_expr":{"type":"numeric_atoms","value":8765,"base":16}}},"used_operators":["oacrs7FA3X","U7g4x0WXJJ","i8ToyICDmI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1388","layer":2},{"info":"number node, value=5451","layer":2},{"info":"compute binary expreesion, left_input=1388, right_input=5451, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1073","layer":2},{"info":"number node, value=8765","layer":2},{"info":"compute binary expreesion, left_input=1073, right_input=8765, 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 = 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":16,"result_base":16,"text":"(∃⊬56C∑⇟⊟∃⊬154B)⪘⫢(∃⊬431∲⫓∃⊬223D)=NaN","reverse_text":"NaN=(∃⊬56C∑⇟⊟∃⊬154B)⪘⫢(∃⊬431∲⫓∃⊬223D)","cot":[{"info":"∃⊬56C∑⇟⊟∃⊬154B=NaN","layer":1},{"info":"∃⊬431∲⫓∃⊬223D=∃⊬0","layer":1},{"info":"NaN⪘⫢∃⊬0=NaN","layer":0}]}
+{"id":189,"expression_no_base_symbol":"(↩$1652$)∼($2012$⇷$3699$)","expression":"(↩∃⊬674)∼(∃⊬7DC⇷∃⊬E73)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28396,"operation_count":3,"complexity_ratio":9465.333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1652,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2012,"base":16},"right_expr":{"type":"numeric_atoms","value":3699,"base":16}}},"used_operators":["DyGG3AbaNP","jLgFTUHLKL","mp7IySMOzn"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":2},{"info":"compute unary expreesion, input=1652, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10436","layer":1},{"info":"number node, value=2012","layer":2},{"info":"number node, value=3699","layer":2},{"info":"compute binary expreesion, left_input=2012, right_input=3699, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7398","layer":1},{"info":"compute binary expreesion, left_input=-10436, right_input=7398, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↩∃⊬674)∼(∃⊬7DC⇷∃⊬E73)=NaN","reverse_text":"NaN=(↩∃⊬674)∼(∃⊬7DC⇷∃⊬E73)","cot":[{"info":"↩∃⊬674=∃⊬-28C4","layer":1},{"info":"∃⊬7DC⇷∃⊬E73=∃⊬1CE6","layer":1},{"info":"∃⊬-28C4∼∃⊬1CE6=NaN","layer":0}]}
+{"id":190,"expression_no_base_symbol":"∂(∥⊫$3520$)","expression":"∂(∥⊫∃⊬DC0)","highest_n_order":5,"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":3520,"base":16}}},"used_operators":["Uaa54Peajs","P8v4zCKN1o"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3520","layer":2},{"info":"compute unary expreesion, input=3520, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4388","layer":1},{"info":"compute unary expreesion, input=4388, 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":16,"result_base":16,"text":"∂(∥⊫∃⊬DC0)=NaN","reverse_text":"NaN=∂(∥⊫∃⊬DC0)","cot":[{"info":"∥⊫∃⊬DC0=∃⊬1124","layer":1},{"info":"∂∃⊬1124=NaN","layer":0}]}
+{"id":191,"expression_no_base_symbol":"+⊝⨔($6885$∀⇚≩$5882$)","expression":"+⊝⨔(∃⊬1AE5∀⇚≩∃⊬16FA)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":48215,"operation_count":2,"complexity_ratio":24107.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6885,"base":16},"right_expr":{"type":"numeric_atoms","value":5882,"base":16}}},"used_operators":["DhbWaqg5eL","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6885","layer":2},{"info":"number node, value=5882","layer":2},{"info":"compute binary expreesion, left_input=6885, right_input=5882, 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 = 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":16,"result_base":16,"text":"+⊝⨔(∃⊬1AE5∀⇚≩∃⊬16FA)=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(∃⊬1AE5∀⇚≩∃⊬16FA)","cot":[{"info":"∃⊬1AE5∀⇚≩∃⊬16FA=NaN","layer":1},{"info":"+⊝⨔NaN=∃⊬5F2","layer":0}]}
+{"id":192,"expression_no_base_symbol":"$1087$+⇶⊼$6596$⫩⊇","expression":"∃⊬43F+⇶⊼∃⊬19C4⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":1,"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":1087,"base":16},"right_expr":{"type":"numeric_atoms","value":6596,"base":16}}},"used_operators":["BjRHVeLaeN","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1087","layer":2},{"info":"number node, value=6596","layer":2},{"info":"compute binary expreesion, left_input=1087, right_input=6596, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬43F+⇶⊼∃⊬19C4⫩⊇=NaN","reverse_text":"NaN=∃⊬43F+⇶⊼∃⊬19C4⫩⊇","cot":[{"info":"∃⊬43F+⇶⊼∃⊬19C4=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
+{"id":193,"expression_no_base_symbol":"$1706$⋳⪒$2395$⫸⊐$2650$⩚⊴⇥$2662$","expression":"∃⊬6AA⋳⪒∃⊬95B⫸⊐∃⊬A5A⩚⊴⇥∃⊬A66","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1706,"base":16},"right_expr":{"type":"numeric_atoms","value":2395,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2650,"base":16},"right_expr":{"type":"numeric_atoms","value":2662,"base":16}}},"used_operators":["mqXw5SEYmG","12rbrZMWeM","NTOWxs364D"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-2AF3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1706","layer":2},{"info":"number node, value=2395","layer":2},{"info":"compute binary expreesion, left_input=1706, right_input=2395, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=730","layer":1},{"info":"number node, value=2650","layer":2},{"info":"number node, value=2662","layer":2},{"info":"compute binary expreesion, left_input=2650, right_input=2662, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5433","layer":1},{"info":"compute binary expreesion, left_input=730, 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=-10995","layer":0}],"base":16,"result_base":16,"text":"∃⊬6AA⋳⪒∃⊬95B⫸⊐∃⊬A5A⩚⊴⇥∃⊬A66=∃⊬-2AF3","reverse_text":"∃⊬-2AF3=∃⊬6AA⋳⪒∃⊬95B⫸⊐∃⊬A5A⩚⊴⇥∃⊬A66","cot":[{"info":"∃⊬6AA⋳⪒∃⊬95B=∃⊬2DA","layer":1},{"info":"∃⊬A5A⩚⊴⇥∃⊬A66=∃⊬-1539","layer":1},{"info":"∃⊬2DA⫸⊐∃⊬-1539=∃⊬-2AF3","layer":0}]}
+{"id":194,"expression_no_base_symbol":"($4331$⇼⇔∾$1008$)⪛(⨑⩽⪐$2013$)","expression":"(∃⊬10EB⇼⇔∾∃⊬3F0)⪛(⨑⩽⪐∃⊬7DD)","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":4331,"base":16},"right_expr":{"type":"numeric_atoms","value":1008,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2013,"base":16}}},"used_operators":["uFcxV4UQCh","tifHPKVTfV","AF7qkfDlqP"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-62F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4331","layer":2},{"info":"number node, value=1008","layer":2},{"info":"compute binary expreesion, left_input=4331, right_input=1008, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3323","layer":1},{"info":"number node, value=2013","layer":2},{"info":"compute unary expreesion, input=2013, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1740","layer":1},{"info":"compute binary expreesion, left_input=-3323, right_input=-1740, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1583","layer":0}],"base":16,"result_base":16,"text":"(∃���10EB⇼⇔∾∃⊬3F0)⪛(⨑⩽⪐∃⊬7DD)=∃⊬-62F","reverse_text":"∃⊬-62F=(∃⊬10EB⇼⇔∾∃⊬3F0)⪛(⨑⩽⪐∃⊬7DD)","cot":[{"info":"∃⊬10EB⇼⇔∾∃⊬3F0=∃⊬-CFB","layer":1},{"info":"⨑⩽⪐∃⊬7DD=∃⊬-6CC","layer":1},{"info":"∃⊬-CFB⪛∃⊬-6CC=∃⊬-62F","layer":0}]}
+{"id":195,"expression_no_base_symbol":"($3164$%$1296$)↬$1045$⨟⋌⩍$1456$","expression":"(∃⊬C5C%∃⊬510)↬∃⊬415⨟⋌⩍∃⊬5B0","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":3164,"base":16},"right_expr":{"type":"numeric_atoms","value":1296,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1045,"base":16},"right_expr":{"type":"numeric_atoms","value":1456,"base":16}}},"used_operators":["B5M0gjZbta","k8jYdgA6NY","rGHVDoGpnC"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3164","layer":2},{"info":"number node, value=1296","layer":2},{"info":"compute binary expreesion, left_input=3164, right_input=1296, op_id = k8jYdgA6NY binary_op_definition= 'None', output=572","layer":1},{"info":"number node, value=1045","layer":2},{"info":"number node, value=1456","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=1456, 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=572, 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":16,"result_base":16,"text":"(∃⊬C5C%∃⊬510)↬∃⊬415⨟⋌⩍∃⊬5B0=NaN","reverse_text":"NaN=(∃⊬C5C%∃⊬510)↬∃⊬415⨟⋌⩍∃⊬5B0","cot":[{"info":"∃⊬C5C%∃⊬510=∃⊬23C","layer":1},{"info":"∃⊬415⨟⋌⩍∃⊬5B0=NaN","layer":1},{"info":"∃⊬23C↬NaN=NaN","layer":0}]}
+{"id":196,"expression_no_base_symbol":"($1299$≎⊠⪸$2518$)⪛($2396$↺$1506$)","expression":"(∃⊬513≎⊠⪸∃⊬9D6)⪛(∃⊬95C↺∃⊬5E2)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":498,"operation_count":3,"complexity_ratio":166.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1299,"base":16},"right_expr":{"type":"numeric_atoms","value":2518,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2396,"base":16},"right_expr":{"type":"numeric_atoms","value":1506,"base":16}}},"used_operators":["uFcxV4UQCh","bJkvcejdHO","7j4O788W3g"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬82","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1299","layer":2},{"info":"number node, value=2518","layer":2},{"info":"compute binary expreesion, left_input=1299, right_input=2518, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=335968","layer":1},{"info":"number node, value=2396","layer":2},{"info":"number node, value=1506","layer":2},{"info":"compute binary expreesion, left_input=2396, right_input=1506, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1506","layer":1},{"info":"compute binary expreesion, left_input=335968, right_input=1506, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=130","layer":0}],"base":16,"result_base":16,"text":"(∃⊬513≎⊠⪸∃⊬9D6)⪛(∃⊬95C↺∃⊬5E2)=∃⊬82","reverse_text":"∃⊬82=(∃⊬513≎⊠⪸∃⊬9D6)⪛(∃⊬95C↺∃⊬5E2)","cot":[{"info":"∃⊬513≎⊠⪸∃⊬9D6=∃⊬52060","layer":1},{"info":"∃⊬95C↺∃⊬5E2=∃⊬5E2","layer":1},{"info":"∃⊬52060⪛∃⊬5E2=∃⊬82","layer":0}]}
+{"id":197,"expression_no_base_symbol":"$1929$⋝⋈⪟$1256$⋳⪒($4321$⇋≉)","expression":"∃⊬789⋝⋈⪟∃⊬4E8⋳⪒(∃⊬10E1⇋≉)","highest_n_order":1,"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":1929,"base":16},"right_expr":{"type":"numeric_atoms","value":1256,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4321,"base":16}}},"used_operators":["12rbrZMWeM","2DDjHMKMc0","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-136D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1929","layer":2},{"info":"number node, value=1256","layer":2},{"info":"compute binary expreesion, left_input=1929, right_input=1256, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1929","layer":1},{"info":"number node, value=4321","layer":2},{"info":"compute unary expreesion, input=4321, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=8544","layer":1},{"info":"compute binary expreesion, left_input=1929, right_input=8544, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4973","layer":0}],"base":16,"result_base":16,"text":"∃⊬789⋝⋈⪟∃⊬4E8⋳⪒(∃⊬10E1⇋≉)=∃⊬-136D","reverse_text":"∃⊬-136D=∃⊬789⋝⋈⪟∃⊬4E8⋳⪒(∃⊬10E1⇋≉)","cot":[{"info":"∃⊬789⋝⋈⪟∃⊬4E8=∃⊬789","layer":1},{"info":"∃⊬10E1⇋≉=∃⊬2160","layer":1},{"info":"∃⊬789⋳⪒∃⊬2160=∃⊬-136D","layer":0}]}
+{"id":198,"expression_no_base_symbol":"(↔$1173$)⩠","expression":"(↔∃⊬495)⩠","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":1173,"base":16}}},"used_operators":["sJAwomhLZr","ruOEQAzv1W"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬EE1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":2},{"info":"compute unary expreesion, input=1173, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-900","layer":1},{"info":"compute unary expreesion, input=-900, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=3809","layer":0}],"base":16,"result_base":16,"text":"(↔∃⊬495)⩠=∃⊬EE1","reverse_text":"∃⊬EE1=(↔∃⊬495)⩠","cot":[{"info":"↔∃⊬495=∃⊬-384","layer":1},{"info":"∃⊬-384⩠=∃⊬EE1","layer":0}]}
+{"id":199,"expression_no_base_symbol":"($2037$⨓$2063$)⨟⋌⩍($2323$⊉≛↸$5700$)","expression":"(∃⊬7F5⨓∃⊬80F)⨟⋌⩍(∃⊬913⊉≛↸∃⊬1644)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2072,"operation_count":3,"complexity_ratio":690.6666666666666,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2037,"base":16},"right_expr":{"type":"numeric_atoms","value":2063,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2323,"base":16},"right_expr":{"type":"numeric_atoms","value":5700,"base":16}}},"used_operators":["rGHVDoGpnC","3ViojmjbAp","DZ8iAZOCBD"],"dependent_operators":["Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2037","layer":2},{"info":"number node, value=2063","layer":2},{"info":"compute binary expreesion, left_input=2037, right_input=2063, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2066","layer":1},{"info":"number node, value=2323","layer":2},{"info":"number node, value=5700","layer":2},{"info":"compute binary expreesion, left_input=2323, right_input=5700, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4646","layer":1},{"info":"compute binary expreesion, left_input=-2066, right_input=4646, 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":16,"result_base":16,"text":"(∃⊬7F5⨓∃⊬80F)⨟⋌⩍(∃⊬913⊉≛↸∃⊬1644)=NaN","reverse_text":"NaN=(∃⊬7F5⨓∃⊬80F)⨟⋌⩍(∃⊬913⊉≛↸∃⊬1644)","cot":[{"info":"∃⊬7F5⨓∃⊬80F=∃⊬-812","layer":1},{"info":"∃⊬913⊉≛↸∃⊬1644=∃⊬1226","layer":1},{"info":"∃⊬-812⨟⋌⩍∃⊬1226=NaN","layer":0}]}
+{"id":200,"expression_no_base_symbol":"($2821$%$5163$)↙($9163$⩨$3749$)","expression":"(∃⊬B05%∃⊬142B)↙(∃⊬23CB⩨∃⊬EA5)","highest_n_order":3,"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":2821,"base":16},"right_expr":{"type":"numeric_atoms","value":5163,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":9163,"base":16},"right_expr":{"type":"numeric_atoms","value":3749,"base":16}}},"used_operators":["yyfyN0ffXY","k8jYdgA6NY","2DlMacCsIx"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2821","layer":2},{"info":"number node, value=5163","layer":2},{"info":"compute binary expreesion, left_input=2821, right_input=5163, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2821","layer":1},{"info":"number node, value=9163","layer":2},{"info":"number node, value=3749","layer":2},{"info":"compute binary expreesion, left_input=9163, right_input=3749, 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=2821, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B05%∃⊬142B)↙(∃⊬23CB⩨∃⊬EA5)=∃⊬0","reverse_text":"∃⊬0=(∃⊬B05%∃⊬142B)↙(∃⊬23CB⩨∃⊬EA5)","cot":[{"info":"∃⊬B05%∃⊬142B=∃⊬B05","layer":1},{"info":"∃⊬23CB⩨∃⊬EA5=∃⊬0","layer":1},{"info":"∃⊬B05↙∃⊬0=∃⊬0","layer":0}]}
+{"id":201,"expression_no_base_symbol":"($5625$%$2650$)⨟⋌⩍($1843$⪛$3226$)","expression":"(∃⊬15F9%∃⊬A5A)⨟⋌⩍(∃⊬733⪛∃⊬C9A)","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":5625,"base":16},"right_expr":{"type":"numeric_atoms","value":2650,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1843,"base":16},"right_expr":{"type":"numeric_atoms","value":3226,"base":16}}},"used_operators":["rGHVDoGpnC","k8jYdgA6NY","uFcxV4UQCh"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5625","layer":2},{"info":"number node, value=2650","layer":2},{"info":"compute binary expreesion, left_input=5625, right_input=2650, op_id = k8jYdgA6NY binary_op_definition= 'None', output=325","layer":1},{"info":"number node, value=1843","layer":2},{"info":"number node, value=3226","layer":2},{"info":"compute binary expreesion, left_input=1843, right_input=3226, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1843","layer":1},{"info":"compute binary expreesion, left_input=325, right_input=1843, 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":16,"result_base":16,"text":"(∃⊬15F9%∃⊬A5A)⨟⋌⩍(∃⊬733⪛∃⊬C9A)=NaN","reverse_text":"NaN=(∃⊬15F9%∃⊬A5A)⨟⋌⩍(∃⊬733⪛∃⊬C9A)","cot":[{"info":"∃⊬15F9%∃⊬A5A=∃⊬145","layer":1},{"info":"∃⊬733⪛∃⊬C9A=∃⊬733","layer":1},{"info":"∃⊬145⨟⋌⩍∃⊬733=NaN","layer":0}]}
+{"id":202,"expression_no_base_symbol":"($1281$⪄$1009$)≭($2659$+⇶⊼$6555$)","expression":"(∃⊬501⪄∃⊬3F1)≭(∃⊬A63+⇶⊼∃⊬199B)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":97,"operation_count":3,"complexity_ratio":32.333333333333336,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1281,"base":16},"right_expr":{"type":"numeric_atoms","value":1009,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2659,"base":16},"right_expr":{"type":"numeric_atoms","value":6555,"base":16}}},"used_operators":["rxpJgHHUmx","SUmda5xLS4","TpPTUOHfaN"],"dependent_operators":["AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1281","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=1281, right_input=1009, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-189713","layer":1},{"info":"number node, value=2659","layer":2},{"info":"number node, value=6555","layer":2},{"info":"compute binary expreesion, left_input=2659, right_input=6555, 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=-189713, 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":16,"result_base":16,"text":"(∃⊬501⪄∃⊬3F1)≭(∃⊬A63+⇶⊼∃⊬199B)=NaN","reverse_text":"NaN=(∃⊬501⪄∃⊬3F1)≭(∃⊬A63+⇶⊼∃⊬199B)","cot":[{"info":"∃⊬501⪄∃⊬3F1=∃⊬-2E511","layer":1},{"info":"∃⊬A63+⇶⊼∃⊬199B=NaN","layer":1},{"info":"∃⊬-2E511≭NaN=NaN","layer":0}]}
+{"id":203,"expression_no_base_symbol":"$3149$⩷∴$1831$⋷$2471$⩨$1043$","expression":"∃⊬C4D⩷∴∃⊬727⋷∃⊬9A7⩨∃⊬413","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":3149,"base":16},"right_expr":{"type":"numeric_atoms","value":1831,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2471,"base":16},"right_expr":{"type":"numeric_atoms","value":1043,"base":16}}},"used_operators":["23Mk6UjR3U","9FxExcQeMw","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬-A2C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3149","layer":2},{"info":"number node, value=1831","layer":2},{"info":"compute binary expreesion, left_input=3149, right_input=1831, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2604","layer":1},{"info":"number node, value=2471","layer":2},{"info":"number node, value=1043","layer":2},{"info":"compute binary expreesion, left_input=2471, right_input=1043, 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=2604, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2604","layer":0}],"base":16,"result_base":16,"text":"∃⊬C4D⩷∴∃⊬727⋷∃⊬9A7⩨∃⊬413=∃⊬-A2C","reverse_text":"∃⊬-A2C=∃⊬C4D⩷∴∃⊬727⋷∃⊬9A7⩨∃⊬413","cot":[{"info":"∃⊬C4D⩷∴∃⊬727=∃⊬A2C","layer":1},{"info":"∃⊬9A7⩨∃⊬413=∃⊬0","layer":1},{"info":"∃⊬A2C⋷∃⊬0=∃⊬-A2C","layer":0}]}
+{"id":204,"expression_no_base_symbol":"$2086$⇷$6313$⫌⩹⨱","expression":"∃⊬826⇷∃⊬18A9⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29217,"operation_count":2,"complexity_ratio":14608.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2086,"base":16},"right_expr":{"type":"numeric_atoms","value":6313,"base":16}}},"used_operators":["EBcxylXtPf","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬681D","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2086","layer":2},{"info":"number node, value=6313","layer":2},{"info":"compute binary expreesion, left_input=2086, right_input=6313, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12626","layer":1},{"info":"compute unary expreesion, input=12626, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=26653","layer":0}],"base":16,"result_base":16,"text":"∃⊬826⇷∃⊬18A9⫌⩹⨱=∃⊬681D","reverse_text":"∃⊬681D=∃⊬826⇷∃⊬18A9⫌⩹⨱","cot":[{"info":"∃⊬826⇷∃⊬18A9=∃⊬3152","layer":1},{"info":"∃⊬3152⫌⩹⨱=∃⊬681D","layer":0}]}
+{"id":205,"expression_no_base_symbol":"↩$2862$⪘⫢$4758$","expression":"↩∃⊬B2E⪘⫢∃⊬1296","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2862,"base":16},"right_expr":{"type":"numeric_atoms","value":4758,"base":16}}},"used_operators":["jLgFTUHLKL","oacrs7FA3X"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬-A424","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2862","layer":2},{"info":"number node, value=4758","layer":2},{"info":"compute binary expreesion, left_input=2862, right_input=4758, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5600","layer":1},{"info":"compute unary expreesion, input=5600, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-42020","layer":0}],"base":16,"result_base":16,"text":"↩∃⊬B2E⪘⫢∃⊬1296=∃⊬-A424","reverse_text":"∃⊬-A424=↩∃⊬B2E⪘⫢∃⊬1296","cot":[{"info":"∃⊬B2E⪘⫢∃⊬1296=∃⊬15E0","layer":1},{"info":"↩∃⊬15E0=∃⊬-A424","layer":0}]}
+{"id":206,"expression_no_base_symbol":"$5622$⩚⊴⇥$1581$≭$4068$⪘⫢$1434$","expression":"∃⊬15F6⩚⊴⇥∃⊬62D≭∃⊬FE4⪘⫢∃⊬59A","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5622,"base":16},"right_expr":{"type":"numeric_atoms","value":1581,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4068,"base":16},"right_expr":{"type":"numeric_atoms","value":1434,"base":16}}},"used_operators":["rxpJgHHUmx","NTOWxs364D","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5622","layer":2},{"info":"number node, value=1581","layer":2},{"info":"compute binary expreesion, left_input=5622, right_input=1581, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7324","layer":1},{"info":"number node, value=4068","layer":2},{"info":"number node, value=1434","layer":2},{"info":"compute binary expreesion, left_input=4068, right_input=1434, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8012","layer":1},{"info":"compute binary expreesion, left_input=-7324, right_input=8012, 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":16,"result_base":16,"text":"∃⊬15F6⩚⊴⇥∃⊬62D≭∃⊬FE4⪘⫢∃⊬59A=NaN","reverse_text":"NaN=∃⊬15F6⩚⊴⇥∃⊬62D≭∃⊬FE4⪘⫢∃⊬59A","cot":[{"info":"∃⊬15F6⩚⊴⇥∃⊬62D=∃⊬-1C9C","layer":1},{"info":"∃⊬FE4⪘⫢∃⊬59A=∃⊬1F4C","layer":1},{"info":"∃⊬-1C9C≭∃⊬1F4C=NaN","layer":0}]}
+{"id":207,"expression_no_base_symbol":"($3688$⫌⩹⨱)⪘⫢($1002$↺$4163$)","expression":"(∃⊬E68⫌⩹⨱)⪘⫢(∃⊬3EA↺∃⊬1043)","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":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3688,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1002,"base":16},"right_expr":{"type":"numeric_atoms","value":4163,"base":16}}},"used_operators":["oacrs7FA3X","EBcxylXtPf","7j4O788W3g"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬4416","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3688","layer":2},{"info":"compute unary expreesion, input=3688, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8777","layer":1},{"info":"number node, value=1002","layer":2},{"info":"number node, value=4163","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=4163, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4163","layer":1},{"info":"compute binary expreesion, left_input=8777, right_input=4163, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17430","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E68⫌⩹⨱)⪘⫢(∃⊬3EA↺∃⊬1043)=∃⊬4416","reverse_text":"∃⊬4416=(∃⊬E68⫌⩹⨱)⪘⫢(∃⊬3EA↺∃⊬1043)","cot":[{"info":"∃⊬E68⫌⩹⨱=∃⊬2249","layer":1},{"info":"∃⊬3EA↺∃⊬1043=∃⊬1043","layer":1},{"info":"∃⊬2249⪘⫢∃⊬1043=∃⊬4416","layer":0}]}
+{"id":208,"expression_no_base_symbol":"⩦⩻⨪$2530$≎⊠⪸$1519$","expression":"⩦⩻⨪∃⊬9E2≎⊠⪸∃⊬5EF","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":273,"operation_count":2,"complexity_ratio":136.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2530,"base":16},"right_expr":{"type":"numeric_atoms","value":1519,"base":16}}},"used_operators":["2td37pGCOC","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬9FDCD","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2530","layer":2},{"info":"number node, value=1519","layer":2},{"info":"compute binary expreesion, left_input=2530, right_input=1519, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=654797","layer":1},{"info":"compute unary expreesion, input=654797, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=654797","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪∃⊬9E2≎⊠⪸∃⊬5EF=∃⊬9FDCD","reverse_text":"∃⊬9FDCD=⩦⩻⨪∃⊬9E2≎⊠⪸∃⊬5EF","cot":[{"info":"∃⊬9E2≎⊠⪸∃⊬5EF=∃⊬9FDCD","layer":1},{"info":"⩦⩻⨪∃⊬9FDCD=∃⊬9FDCD","layer":0}]}
+{"id":209,"expression_no_base_symbol":"⫛⫱⨽($1115$∼$2088$)","expression":"⫛⫱⨽(∃⊬45B∼∃⊬828)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":935,"operation_count":2,"complexity_ratio":467.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1115,"base":16},"right_expr":{"type":"numeric_atoms","value":2088,"base":16}}},"used_operators":["DlLNRPXxWL","DyGG3AbaNP"],"dependent_operators":["rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1115","layer":2},{"info":"number node, value=2088","layer":2},{"info":"compute binary expreesion, left_input=1115, right_input=2088, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⫛⫱⨽(∃⊬45B∼∃⊬828)=NaN","reverse_text":"NaN=⫛⫱⨽(∃⊬45B∼∃⊬828)","cot":[{"info":"∃⊬45B∼∃⊬828=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
+{"id":210,"expression_no_base_symbol":"($4766$⩤)⩨$1168$⨽$2226$","expression":"(∃⊬129E⩤)⩨∃⊬490⨽∃⊬8B2","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2040,"operation_count":3,"complexity_ratio":680.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4766,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1168,"base":16},"right_expr":{"type":"numeric_atoms","value":2226,"base":16}}},"used_operators":["2DlMacCsIx","Z2TMIBDE3Q","8HhzD0ZcuI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬-A11","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4766","layer":2},{"info":"compute unary expreesion, input=4766, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4766","layer":1},{"info":"number node, value=1168","layer":2},{"info":"number node, value=2226","layer":2},{"info":"compute binary expreesion, left_input=1168, right_input=2226, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4098036","layer":1},{"info":"compute binary expreesion, left_input=-4766, right_input=-4098036, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-2577","layer":0}],"base":16,"result_base":16,"text":"(∃⊬129E⩤)⩨∃⊬490⨽∃⊬8B2=∃⊬-A11","reverse_text":"∃⊬-A11=(∃⊬129E⩤)⩨∃⊬490⨽∃⊬8B2","cot":[{"info":"∃⊬129E⩤=∃⊬-129E","layer":1},{"info":"∃⊬490⨽∃⊬8B2=∃⊬-3E87F4","layer":1},{"info":"∃⊬-129E⩨∃⊬-3E87F4=∃⊬-A11","layer":0}]}
+{"id":211,"expression_no_base_symbol":"⪲⇎(⪲⇎$1071$)","expression":"⪲⇎(⪲⇎∃⊬42F)","highest_n_order":1,"priority_hierarchical_complexity":1,"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":1071,"base":16}}},"used_operators":["XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬10BC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":2},{"info":"compute unary expreesion, input=1071, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2142","layer":1},{"info":"compute unary expreesion, input=2142, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4284","layer":0}],"base":16,"result_base":16,"text":"⪲⇎(⪲⇎∃⊬42F)=∃⊬10BC","reverse_text":"∃⊬10BC=⪲⇎(⪲⇎∃⊬42F)","cot":[{"info":"⪲⇎∃⊬42F=∃⊬85E","layer":1},{"info":"⪲⇎∃⊬85E=∃⊬10BC","layer":0}]}
+{"id":212,"expression_no_base_symbol":"($4053$≎⊠⪸$3143$)↬$1275$⪢$1466$","expression":"(∃⊬FD5≎⊠⪸∃⊬C47)↬∃⊬4FB⪢∃⊬5BA","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1737,"operation_count":3,"complexity_ratio":579.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4053,"base":16},"right_expr":{"type":"numeric_atoms","value":3143,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1275,"base":16},"right_expr":{"type":"numeric_atoms","value":1466,"base":16}}},"used_operators":["B5M0gjZbta","bJkvcejdHO","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4053","layer":2},{"info":"number node, value=3143","layer":2},{"info":"compute binary expreesion, left_input=4053, right_input=3143, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1049254","layer":1},{"info":"number node, value=1275","layer":2},{"info":"number node, value=1466","layer":2},{"info":"compute binary expreesion, left_input=1275, right_input=1466, 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=1049254, 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":16,"result_base":16,"text":"(∃⊬FD5≎⊠⪸∃⊬C47)↬∃⊬4FB⪢∃⊬5BA=NaN","reverse_text":"NaN=(∃⊬FD5≎⊠⪸∃⊬C47)↬∃⊬4FB⪢∃⊬5BA","cot":[{"info":"∃⊬FD5≎⊠⪸∃⊬C47=∃⊬1002A6","layer":1},{"info":"∃⊬4FB⪢∃⊬5BA=NaN","layer":1},{"info":"∃⊬1002A6↬NaN=NaN","layer":0}]}
+{"id":213,"expression_no_base_symbol":"($1229$⇼⇔∾$5589$)⇷(⊙↵-$4312$)","expression":"(∃⊬4CD⇼⇔∾∃⊬15D5)⇷(⊙↵-∃⊬10D8)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65406,"operation_count":3,"complexity_ratio":21802.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1229,"base":16},"right_expr":{"type":"numeric_atoms","value":5589,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4312,"base":16}}},"used_operators":["mp7IySMOzn","tifHPKVTfV","oWn0xqSxBt"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬-2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1229","layer":2},{"info":"number node, value=5589","layer":2},{"info":"compute binary expreesion, left_input=1229, right_input=5589, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4360","layer":1},{"info":"number node, value=4312","layer":2},{"info":"compute unary expreesion, input=4312, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=4360, right_input=-1, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-2","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4CD⇼⇔∾∃⊬15D5)⇷(⊙↵-∃⊬10D8)=∃⊬-2","reverse_text":"∃⊬-2=(∃⊬4CD⇼⇔∾∃⊬15D5)⇷(⊙↵-∃⊬10D8)","cot":[{"info":"∃⊬4CD⇼⇔∾���⊬15D5=∃⊬1108","layer":1},{"info":"⊙↵-∃⊬10D8=∃⊬-1","layer":1},{"info":"∃⊬1108⇷∃⊬-1=∃⊬-2","layer":0}]}
+{"id":214,"expression_no_base_symbol":"(⫓⪴$8208$)⨐⩸⫘(⫛⫱⨽$6915$)","expression":"(⫓⪴∃⊬2010)⨐⩸⫘(⫛⫱⨽∃⊬1B03)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9631,"operation_count":3,"complexity_ratio":3210.3333333333335,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":8208,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6915,"base":16}}},"used_operators":["fu6greOZ01","eLxqMNBOBk","DlLNRPXxWL"],"dependent_operators":["3ViojmjbAp","9HNa5Wba9A","rGHVDoGpnC"],"result":"∃⊬4040100","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8208","layer":2},{"info":"compute unary expreesion, input=8208, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=67371264","layer":1},{"info":"number node, value=6915","layer":2},{"info":"compute unary expreesion, input=6915, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=67371264, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=67371264","layer":0}],"base":16,"result_base":16,"text":"(⫓⪴∃⊬2010)⨐⩸⫘(⫛⫱⨽∃⊬1B03)=∃⊬4040100","reverse_text":"∃⊬4040100=(⫓⪴∃⊬2010)⨐⩸⫘(⫛⫱⨽∃⊬1B03)","cot":[{"info":"⫓⪴∃⊬2010=∃⊬4040100","layer":1},{"info":"⫛⫱⨽∃⊬1B03=∃⊬0","layer":1},{"info":"∃⊬4040100⨐⩸⫘∃⊬0=∃⊬4040100","layer":0}]}
+{"id":215,"expression_no_base_symbol":"$1555$≹⇙⪍$5687$⋷(⊙↵-$8729$)","expression":"∃⊬613≹⇙⪍∃⊬1637⋷(⊙↵-∃⊬2219)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8778,"operation_count":3,"complexity_ratio":2926.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1555,"base":16},"right_expr":{"type":"numeric_atoms","value":5687,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":8729,"base":16}}},"used_operators":["23Mk6UjR3U","AHs5Up7iyr","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1555","layer":2},{"info":"number node, value=5687","layer":2},{"info":"compute binary expreesion, left_input=1555, right_input=5687, 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=8729","layer":2},{"info":"compute unary expreesion, input=8729, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬613≹⇙⪍∃⊬1637⋷(⊙↵-∃⊬2219)=NaN","reverse_text":"NaN=∃⊬613≹⇙⪍∃⊬1637⋷(⊙↵-∃⊬2219)","cot":[{"info":"∃⊬613≹⇙⪍∃⊬1637=NaN","layer":1},{"info":"⊙↵-∃⊬2219=∃⊬-1","layer":1},{"info":"NaN⋷∃⊬-1=NaN","layer":0}]}
+{"id":216,"expression_no_base_symbol":"$2664$⩚⊴⇥$3170$↺(⪲⇎$3490$)","expression":"∃⊬A68⩚⊴⇥∃⊬C62↺(⪲⇎∃⊬DA2)","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":2664,"base":16},"right_expr":{"type":"numeric_atoms","value":3170,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3490,"base":16}}},"used_operators":["7j4O788W3g","NTOWxs364D","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1B44","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2664","layer":2},{"info":"number node, value=3170","layer":2},{"info":"compute binary expreesion, left_input=2664, right_input=3170, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5955","layer":1},{"info":"number node, value=3490","layer":2},{"info":"compute unary expreesion, input=3490, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6980","layer":1},{"info":"compute binary expreesion, left_input=-5955, right_input=6980, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6980","layer":0}],"base":16,"result_base":16,"text":"∃⊬A68⩚⊴⇥∃⊬C62↺(⪲⇎∃⊬DA2)=∃⊬1B44","reverse_text":"∃⊬1B44=∃⊬A68⩚⊴⇥∃⊬C62↺(⪲⇎∃⊬DA2)","cot":[{"info":"∃⊬A68⩚⊴⇥∃⊬C62=∃⊬-1743","layer":1},{"info":"⪲⇎∃⊬DA2=∃⊬1B44","layer":1},{"info":"∃⊬-1743↺∃⊬1B44=∃⊬1B44","layer":0}]}
+{"id":217,"expression_no_base_symbol":"($1949$≋⫹)⩷∴$6247$⨓$1715$","expression":"(∃⊬79D≋⫹)⩷∴∃⊬1867⨓∃⊬6B3","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1730,"operation_count":3,"complexity_ratio":576.6666666666666,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1949,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6247,"base":16},"right_expr":{"type":"numeric_atoms","value":1715,"base":16}}},"used_operators":["9FxExcQeMw","N41Kp7NANJ","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬-1128","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1949","layer":2},{"info":"compute unary expreesion, input=1949, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3898","layer":1},{"info":"number node, value=6247","layer":2},{"info":"number node, value=1715","layer":2},{"info":"compute binary expreesion, left_input=6247, right_input=1715, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1718","layer":1},{"info":"compute binary expreesion, left_input=-3898, right_input=-1718, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4392","layer":0}],"base":16,"result_base":16,"text":"(∃⊬79D≋⫹)⩷∴∃⊬1867⨓∃⊬6B3=∃⊬-1128","reverse_text":"∃⊬-1128=(∃⊬79D≋⫹)⩷∴∃⊬1867⨓∃⊬6B3","cot":[{"info":"∃⊬79D≋⫹=∃⊬-F3A","layer":1},{"info":"∃⊬1867⨓∃⊬6B3=∃⊬-6B6","layer":1},{"info":"∃⊬-F3A⩷∴∃⊬-6B6=∃⊬-1128","layer":0}]}
+{"id":218,"expression_no_base_symbol":"(⫓⪴$5187$)↙(+⊝⨔$1546$)","expression":"(⫓⪴∃⊬1443)↙(+⊝⨔∃⊬60A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6752,"operation_count":3,"complexity_ratio":2250.6666666666665,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5187,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1546,"base":16}}},"used_operators":["yyfyN0ffXY","eLxqMNBOBk","DhbWaqg5eL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬-11D6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5187","layer":2},{"info":"compute unary expreesion, input=5187, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=26904969","layer":1},{"info":"number node, value=1546","layer":2},{"info":"compute unary expreesion, input=1546, 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=26904969, right_input=1522, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4566","layer":0}],"base":16,"result_base":16,"text":"(⫓⪴∃⊬1443)↙(+⊝⨔∃⊬60A)=∃⊬-11D6","reverse_text":"∃⊬-11D6=(⫓⪴∃⊬1443)↙(+⊝⨔∃⊬60A)","cot":[{"info":"⫓⪴∃⊬1443=∃⊬19A8989","layer":1},{"info":"+⊝⨔∃⊬60A=∃⊬5F2","layer":1},{"info":"∃⊬19A8989↙∃⊬5F2=∃⊬-11D6","layer":0}]}
+{"id":219,"expression_no_base_symbol":"($1928$⪛$1524$)⊴$1979$≹⇙⪍$1041$","expression":"(∃⊬788⪛∃⊬5F4)⊴∃⊬7BB≹⇙⪍∃⊬411","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":1928,"base":16},"right_expr":{"type":"numeric_atoms","value":1524,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1979,"base":16},"right_expr":{"type":"numeric_atoms","value":1041,"base":16}}},"used_operators":["Nsiff2A1zJ","uFcxV4UQCh","AHs5Up7iyr"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1928","layer":2},{"info":"number node, value=1524","layer":2},{"info":"compute binary expreesion, left_input=1928, right_input=1524, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=404","layer":1},{"info":"number node, value=1979","layer":2},{"info":"number node, value=1041","layer":2},{"info":"compute binary expreesion, left_input=1979, right_input=1041, 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=404, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬788⪛∃⊬5F4)⊴∃⊬7BB≹⇙⪍∃⊬411=NaN","reverse_text":"NaN=(∃⊬788⪛∃⊬5F4)⊴∃⊬7BB≹⇙⪍∃⊬411","cot":[{"info":"∃⊬788⪛∃⊬5F4=∃⊬194","layer":1},{"info":"∃⊬7BB≹⇙⪍∃⊬411=NaN","layer":1},{"info":"∃⊬194⊴NaN=NaN","layer":0}]}
+{"id":220,"expression_no_base_symbol":"($5300$∸)+$2103$↬$5237$","expression":"(∃⊬14B4∸)+∃⊬837↬∃⊬1475","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":179,"operation_count":3,"complexity_ratio":59.666666666666664,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5300,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2103,"base":16},"right_expr":{"type":"numeric_atoms","value":5237,"base":16}}},"used_operators":["W4YGzv6Whe","o20kRiQErp","B5M0gjZbta"],"dependent_operators":["tmPS8pqC7x","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5300","layer":2},{"info":"compute unary expreesion, input=5300, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=2103","layer":2},{"info":"number node, value=5237","layer":2},{"info":"compute binary expreesion, left_input=2103, right_input=5237, 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=177, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬14B4∸)+∃⊬837↬∃⊬1475=NaN","reverse_text":"NaN=(∃⊬14B4∸)+∃⊬837↬∃⊬1475","cot":[{"info":"∃⊬14B4∸=∃⊬B1","layer":1},{"info":"∃⊬837↬∃⊬1475=NaN","layer":1},{"info":"∃⊬B1+NaN=NaN","layer":0}]}
+{"id":221,"expression_no_base_symbol":"($3304$⪢$3865$)≹⇙⪍($6043$≧⫂∧$5779$)","expression":"(∃⊬CE8⪢∃⊬F19)≹⇙⪍(∃⊬179B≧⫂∧∃⊬1693)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3867,"operation_count":3,"complexity_ratio":1289.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3304,"base":16},"right_expr":{"type":"numeric_atoms","value":3865,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6043,"base":16},"right_expr":{"type":"numeric_atoms","value":5779,"base":16}}},"used_operators":["AHs5Up7iyr","dWAJyo7jo9","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3304","layer":2},{"info":"number node, value=3865","layer":2},{"info":"compute binary expreesion, left_input=3304, right_input=3865, 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=6043","layer":2},{"info":"number node, value=5779","layer":2},{"info":"compute binary expreesion, left_input=6043, right_input=5779, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5306","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5306, 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":16,"result_base":16,"text":"(∃⊬CE8⪢∃⊬F19)≹⇙⪍(∃⊬179B≧⫂∧∃⊬1693)=NaN","reverse_text":"NaN=(∃⊬CE8⪢∃⊬F19)≹⇙⪍(∃⊬179B≧⫂∧∃⊬1693)","cot":[{"info":"∃⊬CE8⪢∃⊬F19=NaN","layer":1},{"info":"∃⊬179B≧⫂∧∃⊬1693=∃⊬14BA","layer":1},{"info":"NaN≹⇙⪍∃⊬14BA=NaN","layer":0}]}
+{"id":222,"expression_no_base_symbol":"($1095$⨎$3571$)⇷($1401$⫥∨⫟$1187$)","expression":"(∃⊬447⨎∃⊬DF3)⇷(∃⊬579⫥∨⫟∃⊬4A3)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50155,"operation_count":3,"complexity_ratio":16718.333333333332,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1095,"base":16},"right_expr":{"type":"numeric_atoms","value":3571,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1401,"base":16},"right_expr":{"type":"numeric_atoms","value":1187,"base":16}}},"used_operators":["mp7IySMOzn","rJVOvQCfKK","KYD54nUTWz"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1095","layer":2},{"info":"number node, value=3571","layer":2},{"info":"compute binary expreesion, left_input=1095, right_input=3571, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3571","layer":1},{"info":"number node, value=1401","layer":2},{"info":"number node, value=1187","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=1187, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3571, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬447⨎∃⊬DF3)⇷(∃⊬579⫥∨⫟∃⊬4A3)=NaN","reverse_text":"NaN=(∃⊬447⨎∃⊬DF3)⇷(∃⊬579⫥∨⫟∃⊬4A3)","cot":[{"info":"∃⊬447⨎∃⊬DF3=∃⊬DF3","layer":1},{"info":"∃⊬579⫥∨⫟∃⊬4A3=NaN","layer":1},{"info":"∃⊬DF3⇷NaN=NaN","layer":0}]}
+{"id":223,"expression_no_base_symbol":"($1119$⨸⪁$3256$)⋝⋈⪟(⩦⩻⨪$3276$)","expression":"(∃⊬45F⨸⪁∃⊬CB8)⋝⋈⪟(⩦⩻⨪∃⊬CCC)","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":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1119,"base":16},"right_expr":{"type":"numeric_atoms","value":3256,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3276,"base":16}}},"used_operators":["2DDjHMKMc0","g55IO6H4Gj","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬222E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":2},{"info":"number node, value=3256","layer":2},{"info":"compute binary expreesion, left_input=1119, right_input=3256, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8750","layer":1},{"info":"number node, value=3276","layer":2},{"info":"compute unary expreesion, input=3276, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3276","layer":1},{"info":"compute binary expreesion, left_input=8750, right_input=3276, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8750","layer":0}],"base":16,"result_base":16,"text":"(∃⊬45F⨸⪁∃⊬CB8)⋝⋈⪟(⩦⩻⨪∃⊬CCC)=∃⊬222E","reverse_text":"∃⊬222E=(∃⊬45F⨸⪁∃⊬CB8)⋝⋈⪟(⩦⩻⨪∃⊬CCC)","cot":[{"info":"∃⊬45F⨸⪁∃⊬CB8=∃⊬222E","layer":1},{"info":"⩦⩻⨪∃⊬CCC=∃⊬CCC","layer":1},{"info":"∃⊬222E⋝⋈⪟∃⊬CCC=∃⊬222E","layer":0}]}
+{"id":224,"expression_no_base_symbol":"⊙↵-($1825$⨳⩥⨓$1303$)","expression":"⊙↵-(∃⊬721⨳⩥⨓∃⊬517)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":557,"operation_count":2,"complexity_ratio":278.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1825,"base":16},"right_expr":{"type":"numeric_atoms","value":1303,"base":16}}},"used_operators":["oWn0xqSxBt","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬C4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1825","layer":2},{"info":"number node, value=1303","layer":2},{"info":"compute binary expreesion, left_input=1825, right_input=1303, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-522","layer":1},{"info":"compute unary expreesion, input=-522, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(∃⊬721⨳⩥⨓∃⊬517)=∃⊬C4","reverse_text":"∃⊬C4=⊙↵-(∃⊬721⨳⩥⨓∃⊬517)","cot":[{"info":"∃⊬721⨳⩥⨓∃⊬517=∃⊬-20A","layer":1},{"info":"⊙↵-∃⊬-20A=∃⊬C4","layer":0}]}
+{"id":225,"expression_no_base_symbol":"$3275$⪢$1314$⊭∹↮","expression":"∃⊬CCB⪢∃⊬522⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2530,"operation_count":2,"complexity_ratio":1265.0,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3275,"base":16},"right_expr":{"type":"numeric_atoms","value":1314,"base":16}}},"used_operators":["xNBdhnnwKq","dWAJyo7jo9"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3275","layer":2},{"info":"number node, value=1314","layer":2},{"info":"compute binary expreesion, left_input=3275, right_input=1314, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬CCB⪢∃⊬522⊭∹↮=NaN","reverse_text":"NaN=∃⊬CCB⪢∃⊬522⊭∹↮","cot":[{"info":"∃⊬CCB⪢∃⊬522=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
+{"id":226,"expression_no_base_symbol":"$3276$⋓$5843$⩨$2685$⪄$4394$","expression":"∃⊬CCC⋓∃⊬16D3⩨∃⊬A7D⪄∃⊬112A","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":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3276,"base":16},"right_expr":{"type":"numeric_atoms","value":5843,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2685,"base":16},"right_expr":{"type":"numeric_atoms","value":4394,"base":16}}},"used_operators":["2DlMacCsIx","T2fj7uvVaJ","SUmda5xLS4"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3276","layer":2},{"info":"number node, value=5843","layer":2},{"info":"compute binary expreesion, left_input=3276, right_input=5843, 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=2685","layer":2},{"info":"number node, value=4394","layer":2},{"info":"compute binary expreesion, left_input=2685, right_input=4394, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-411045","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-411045, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬CCC⋓∃⊬16D3⩨∃⊬A7D⪄∃⊬112A=NaN","reverse_text":"NaN=∃⊬CCC⋓∃⊬16D3⩨∃⊬A7D⪄∃⊬112A","cot":[{"info":"∃⊬CCC⋓∃⊬16D3=∃⊬0","layer":1},{"info":"∃⊬A7D⪄∃⊬112A=∃⊬-645A5","layer":1},{"info":"∃⊬0⩨∃⊬-645A5=NaN","layer":0}]}
+{"id":227,"expression_no_base_symbol":"($3467$-$1557$)⨓($2144$⋥≓≎$1246$)","expression":"(∃⊬D8B-∃⊬615)⨓(∃⊬860⋥≓≎∃⊬4DE)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":392,"operation_count":3,"complexity_ratio":130.66666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3467,"base":16},"right_expr":{"type":"numeric_atoms","value":1557,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2144,"base":16},"right_expr":{"type":"numeric_atoms","value":1246,"base":16}}},"used_operators":["3ViojmjbAp","rysDP5nf3Z","Qy55tPpLXF"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-180","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3467","layer":2},{"info":"number node, value=1557","layer":2},{"info":"compute binary expreesion, left_input=3467, right_input=1557, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1910","layer":1},{"info":"number node, value=2144","layer":2},{"info":"number node, value=1246","layer":2},{"info":"compute binary expreesion, left_input=2144, right_input=1246, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=381","layer":1},{"info":"compute binary expreesion, left_input=1910, right_input=381, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-384","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D8B-∃⊬615)⨓(∃⊬860⋥≓≎∃⊬4DE)=∃⊬-180","reverse_text":"∃⊬-180=(∃⊬D8B-∃⊬615)⨓(∃⊬860⋥≓≎∃⊬4DE)","cot":[{"info":"∃⊬D8B-∃⊬615=∃⊬776","layer":1},{"info":"∃⊬860⋥≓≎∃⊬4DE=∃⊬17D","layer":1},{"info":"∃⊬776⨓∃⊬17D=∃⊬-180","layer":0}]}
+{"id":228,"expression_no_base_symbol":"⨑⩽⪐($1533$⨵⪆$2070$)","expression":"⨑⩽⪐(∃⊬5FD⨵⪆∃⊬816)","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":1533,"base":16},"right_expr":{"type":"numeric_atoms","value":2070,"base":16}}},"used_operators":["AF7qkfDlqP","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬71","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1533","layer":2},{"info":"number node, value=2070","layer":2},{"info":"compute binary expreesion, left_input=1533, right_input=2070, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=113","layer":0}],"base":16,"result_base":16,"text":"⨑⩽⪐(∃⊬5FD⨵⪆∃⊬816)=∃⊬71","reverse_text":"∃⊬71=⨑⩽⪐(∃⊬5FD⨵⪆∃⊬816)","cot":[{"info":"∃⊬5FD⨵⪆∃⊬816=∃⊬A0","layer":1},{"info":"⨑⩽⪐∃⊬A0=∃⊬71","layer":0}]}
+{"id":229,"expression_no_base_symbol":"($3487$⪨≂$4806$)%(⫓⪴$3082$)","expression":"(∃⊬D9F⪨≂∃⊬12C6)%(⫓⪴∃⊬C0A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3088,"operation_count":3,"complexity_ratio":1029.3333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3487,"base":16},"right_expr":{"type":"numeric_atoms","value":4806,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3082,"base":16}}},"used_operators":["k8jYdgA6NY","sdazOOVcIp","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"∃⊬90E67C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3487","layer":2},{"info":"number node, value=4806","layer":2},{"info":"compute binary expreesion, left_input=3487, right_input=4806, 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=-2536","layer":1},{"info":"number node, value=3082","layer":2},{"info":"compute unary expreesion, input=3082, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9498724","layer":1},{"info":"compute binary expreesion, left_input=-2536, right_input=9498724, op_id = k8jYdgA6NY binary_op_definition= 'None', output=9496188","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D9F⪨≂∃⊬12C6)%(⫓⪴∃⊬C0A)=∃⊬90E67C","reverse_text":"∃⊬90E67C=(∃⊬D9F⪨≂∃⊬12C6)%(⫓⪴∃⊬C0A)","cot":[{"info":"∃⊬D9F⪨≂∃⊬12C6=∃⊬-9E8","layer":1},{"info":"⫓⪴∃⊬C0A=∃⊬90F064","layer":1},{"info":"∃⊬-9E8%∃⊬90F064=∃⊬90E67C","layer":0}]}
+{"id":230,"expression_no_base_symbol":"($6015$⪢$2122$)⨟⋌⩍($3963$⨳⩥⨓$1094$)","expression":"(∃⊬177F⪢∃⊬84A)⨟⋌⩍(∃⊬F7B⨳⩥⨓∃⊬446)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2749,"operation_count":3,"complexity_ratio":916.3333333333334,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6015,"base":16},"right_expr":{"type":"numeric_atoms","value":2122,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3963,"base":16},"right_expr":{"type":"numeric_atoms","value":1094,"base":16}}},"used_operators":["rGHVDoGpnC","dWAJyo7jo9","nCS4ZIUYfx"],"dependent_operators":["Tcnh7f0tEr","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6015","layer":2},{"info":"number node, value=2122","layer":2},{"info":"compute binary expreesion, left_input=6015, right_input=2122, 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=3963","layer":2},{"info":"number node, value=1094","layer":2},{"info":"compute binary expreesion, left_input=3963, right_input=1094, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2869","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2869, 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":16,"result_base":16,"text":"(∃⊬177F⪢∃⊬84A)⨟⋌⩍(∃⊬F7B⨳⩥⨓∃⊬446)=NaN","reverse_text":"NaN=(∃⊬177F⪢∃⊬84A)⨟⋌⩍(∃⊬F7B⨳⩥⨓∃⊬446)","cot":[{"info":"∃⊬177F⪢∃⊬84A=NaN","layer":1},{"info":"∃⊬F7B⨳⩥⨓∃⊬446=∃⊬-B35","layer":1},{"info":"NaN⨟⋌⩍∃⊬-B35=NaN","layer":0}]}
+{"id":231,"expression_no_base_symbol":"$1006$⨳⩥⨓$4317$/$6038$⋥≓≎$1124$","expression":"∃⊬3EE⨳⩥⨓∃⊬10DD/∃⊬1796⋥≓≎∃⊬464","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":1006,"base":16},"right_expr":{"type":"numeric_atoms","value":4317,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6038,"base":16},"right_expr":{"type":"numeric_atoms","value":1124,"base":16}}},"used_operators":["XhwjNDsVaA","nCS4ZIUYfx","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1006","layer":2},{"info":"number node, value=4317","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=4317, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3311","layer":1},{"info":"number node, value=6038","layer":2},{"info":"number node, value=1124","layer":2},{"info":"compute binary expreesion, left_input=6038, right_input=1124, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3757","layer":1},{"info":"compute binary expreesion, left_input=3311, right_input=-3757, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":16,"result_base":16,"text":"∃⊬3EE⨳⩥⨓∃⊬10DD/∃⊬1796⋥≓≎∃⊬464=∃⊬-1","reverse_text":"∃⊬-1=∃⊬3EE⨳⩥⨓∃⊬10DD/∃⊬1796⋥≓≎∃⊬464","cot":[{"info":"∃⊬3EE⨳⩥⨓∃⊬10DD=∃⊬CEF","layer":1},{"info":"∃⊬1796⋥≓≎∃⊬464=∃⊬-EAD","layer":1},{"info":"∃⊬CEF/∃⊬-EAD=∃⊬-1","layer":0}]}
+{"id":232,"expression_no_base_symbol":"($3624$⨓$2679$)≹⇙⪍($5580$/$4477$)","expression":"(∃⊬E28⨓∃⊬A77)≹⇙⪍(∃⊬15CC/∃⊬117D)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5368,"operation_count":3,"complexity_ratio":1789.3333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3624,"base":16},"right_expr":{"type":"numeric_atoms","value":2679,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5580,"base":16},"right_expr":{"type":"numeric_atoms","value":4477,"base":16}}},"used_operators":["AHs5Up7iyr","3ViojmjbAp","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3624","layer":2},{"info":"number node, value=2679","layer":2},{"info":"compute binary expreesion, left_input=3624, right_input=2679, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2682","layer":1},{"info":"number node, value=5580","layer":2},{"info":"number node, value=4477","layer":2},{"info":"compute binary expreesion, left_input=5580, right_input=4477, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=-2682, right_input=1, 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=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E28⨓∃⊬A77)≹⇙⪍(∃⊬15CC/∃⊬117D)=∃⊬0","reverse_text":"∃⊬0=(∃⊬E28⨓∃⊬A77)≹⇙⪍(∃⊬15CC/∃⊬117D)","cot":[{"info":"∃⊬E28⨓∃⊬A77=∃⊬-A7A","layer":1},{"info":"∃⊬15CC/∃⊬117D=∃⊬1","layer":1},{"info":"∃⊬-A7A≹⇙⪍∃⊬1=∃⊬0","layer":0}]}
+{"id":233,"expression_no_base_symbol":"($2694$⩨$1040$)≎⊠⪸($1023$-$1807$)","expression":"(∃⊬A86⩨∃⊬410)≎⊠⪸(∃⊬3FF-∃⊬70F)","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":2694,"base":16},"right_expr":{"type":"numeric_atoms","value":1040,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1023,"base":16},"right_expr":{"type":"numeric_atoms","value":1807,"base":16}}},"used_operators":["bJkvcejdHO","2DlMacCsIx","rysDP5nf3Z"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2694","layer":2},{"info":"number node, value=1040","layer":2},{"info":"compute binary expreesion, left_input=2694, right_input=1040, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1023","layer":2},{"info":"number node, value=1807","layer":2},{"info":"compute binary expreesion, left_input=1023, right_input=1807, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-784","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-784, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A86⩨∃⊬410)≎⊠⪸(∃⊬3FF-∃⊬70F)=∃⊬43","reverse_text":"∃⊬43=(∃⊬A86⩨∃⊬410)≎⊠⪸(∃⊬3FF-∃⊬70F)","cot":[{"info":"∃⊬A86⩨∃⊬410=∃⊬0","layer":1},{"info":"∃⊬3FF-∃⊬70F=∃⊬-310","layer":1},{"info":"∃⊬0≎⊠⪸∃⊬-310=∃⊬43","layer":0}]}
+{"id":234,"expression_no_base_symbol":"$2807$⨪↰⇹$4732$⇼⇔∾$2133$⇷$1629$","expression":"∃⊬AF7⨪↰⇹∃⊬127C⇼⇔∾∃⊬855⇷∃⊬65D","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32677,"operation_count":3,"complexity_ratio":10892.333333333334,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2807,"base":16},"right_expr":{"type":"numeric_atoms","value":4732,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2133,"base":16},"right_expr":{"type":"numeric_atoms","value":1629,"base":16}}},"used_operators":["tifHPKVTfV","tmPS8pqC7x","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬1C3","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2807","layer":2},{"info":"number node, value=4732","layer":2},{"info":"compute binary expreesion, left_input=2807, right_input=4732, 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=2807","layer":1},{"info":"number node, value=2133","layer":2},{"info":"number node, value=1629","layer":2},{"info":"compute binary expreesion, left_input=2133, right_input=1629, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3258","layer":1},{"info":"compute binary expreesion, left_input=2807, right_input=3258, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=451","layer":0}],"base":16,"result_base":16,"text":"∃⊬AF7⨪↰⇹∃⊬127C⇼⇔∾∃⊬855⇷∃⊬65D=∃⊬1C3","reverse_text":"∃⊬1C3=∃⊬AF7⨪↰⇹∃⊬127C⇼⇔∾∃⊬855⇷∃⊬65D","cot":[{"info":"∃⊬AF7⨪↰⇹∃⊬127C=∃⊬AF7","layer":1},{"info":"∃⊬855⇷∃⊬65D=∃⊬CBA","layer":1},{"info":"∃⊬AF7⇼⇔∾∃⊬CBA=∃⊬1C3","layer":0}]}
+{"id":235,"expression_no_base_symbol":"⊙↵-($3405$≋⫹)","expression":"⊙↵-(∃⊬D4D≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6845,"operation_count":2,"complexity_ratio":3422.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3405,"base":16}}},"used_operators":["oWn0xqSxBt","N41Kp7NANJ"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬C4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3405","layer":2},{"info":"compute unary expreesion, input=3405, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6810","layer":1},{"info":"compute unary expreesion, input=-6810, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(∃⊬D4D≋⫹)=∃⊬C4","reverse_text":"∃⊬C4=⊙↵-(∃⊬D4D≋⫹)","cot":[{"info":"∃⊬D4D≋⫹=∃⊬-1A9A","layer":1},{"info":"⊙↵-∃⊬-1A9A=∃⊬C4","layer":0}]}
+{"id":236,"expression_no_base_symbol":"(↔$2014$)⩚⊴⇥(↥$2672$)","expression":"(↔∃⊬7DE)⩚⊴⇥(↥∃⊬A70)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62,"operation_count":3,"complexity_ratio":20.666666666666668,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2014,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2672,"base":16}}},"used_operators":["NTOWxs364D","ruOEQAzv1W","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY"],"result":"∃⊬640","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2014","layer":2},{"info":"compute unary expreesion, input=2014, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1741","layer":1},{"info":"number node, value=2672","layer":2},{"info":"compute unary expreesion, input=2672, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=-1741, right_input=20, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1600","layer":0}],"base":16,"result_base":16,"text":"(↔∃⊬7DE)⩚⊴⇥(↥∃⊬A70)=∃⊬640","reverse_text":"∃⊬640=(↔∃⊬7DE)⩚⊴⇥(↥∃⊬A70)","cot":[{"info":"↔∃⊬7DE=∃⊬-6CD","layer":1},{"info":"↥∃⊬A70=∃⊬14","layer":1},{"info":"∃⊬-6CD⩚⊴⇥∃⊬14=∃⊬640","layer":0}]}
+{"id":237,"expression_no_base_symbol":"$1671$≹⇙⪍$2107$⨎(↥$5313$)","expression":"∃⊬687≹⇙⪍∃⊬83B⨎(↥∃⊬14C1)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":106,"operation_count":3,"complexity_ratio":35.333333333333336,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1671,"base":16},"right_expr":{"type":"numeric_atoms","value":2107,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5313,"base":16}}},"used_operators":["rJVOvQCfKK","AHs5Up7iyr","A8NUZmVepG"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","k8jYdgA6NY"],"result":"∃⊬9","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1671","layer":2},{"info":"number node, value=2107","layer":2},{"info":"compute binary expreesion, left_input=1671, right_input=2107, 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=5313","layer":2},{"info":"compute unary expreesion, input=5313, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9","layer":0}],"base":16,"result_base":16,"text":"∃⊬687≹⇙⪍∃⊬83B⨎(↥∃⊬14C1)=∃⊬9","reverse_text":"∃⊬9=∃⊬687≹⇙⪍∃⊬83B⨎(↥∃⊬14C1)","cot":[{"info":"∃⊬687≹⇙⪍∃⊬83B=NaN","layer":1},{"info":"↥∃⊬14C1=∃⊬9","layer":1},{"info":"NaN⨎∃⊬9=∃⊬9","layer":0}]}
+{"id":238,"expression_no_base_symbol":"(⊥$3133$)⩠","expression":"(⊥∃⊬C3D)⩠","highest_n_order":4,"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":3133,"base":16}}},"used_operators":["sJAwomhLZr","Q3PJZHRvZv"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3133","layer":2},{"info":"compute unary expreesion, input=3133, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊥∃⊬C3D)⩠=NaN","reverse_text":"NaN=(⊥∃⊬C3D)⩠","cot":[{"info":"⊥∃⊬C3D=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
+{"id":239,"expression_no_base_symbol":"⊥($2069$⪄$1100$)","expression":"⊥(∃⊬815⪄∃⊬44C)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":96,"operation_count":2,"complexity_ratio":48.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2069,"base":16},"right_expr":{"type":"numeric_atoms","value":1100,"base":16}}},"used_operators":["Q3PJZHRvZv","SUmda5xLS4"],"dependent_operators":["fu6greOZ01","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2069","layer":2},{"info":"number node, value=1100","layer":2},{"info":"compute binary expreesion, left_input=2069, right_input=1100, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-306701","layer":1},{"info":"compute unary expreesion, input=-306701, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬815⪄∃⊬44C)=NaN","reverse_text":"NaN=⊥(∃⊬815⪄∃⊬44C)","cot":[{"info":"∃⊬815⪄∃⊬44C=∃⊬-4AE0D","layer":1},{"info":"⊥∃⊬-4AE0D=NaN","layer":0}]}
+{"id":240,"expression_no_base_symbol":"⨑⩽⪐($7936$⪐)","expression":"⨑⩽⪐(∃⊬1F00⪐)","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":7936,"base":16}}},"used_operators":["AF7qkfDlqP","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-3CEF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7936","layer":2},{"info":"compute unary expreesion, input=7936, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=15872","layer":1},{"info":"compute unary expreesion, input=15872, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-15599","layer":0}],"base":16,"result_base":16,"text":"⨑⩽⪐(∃⊬1F00⪐)=∃⊬-3CEF","reverse_text":"∃⊬-3CEF=⨑⩽⪐(∃⊬1F00⪐)","cot":[{"info":"∃⊬1F00⪐=∃⊬3E00","layer":1},{"info":"⨑⩽⪐∃⊬3E00=∃⊬-3CEF","layer":0}]}
+{"id":241,"expression_no_base_symbol":"($5803$⇼⇔∾$1247$)⪘⫢(⪝⪂⫅$3620$)","expression":"(∃⊬16AB⇼⇔∾∃⊬4DF)⪘⫢(⪝⪂⫅∃⊬E24)","highest_n_order":2,"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":5803,"base":16},"right_expr":{"type":"numeric_atoms","value":1247,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3620,"base":16}}},"used_operators":["oacrs7FA3X","tifHPKVTfV","XTarYq4gQB"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5803","layer":2},{"info":"number node, value=1247","layer":2},{"info":"compute binary expreesion, left_input=5803, right_input=1247, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4556","layer":1},{"info":"number node, value=3620","layer":2},{"info":"compute unary expreesion, input=3620, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-532140","layer":1},{"info":"compute binary expreesion, left_input=-4556, right_input=-532140, 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":16,"result_base":16,"text":"(∃⊬16AB⇼⇔∾∃⊬4DF)⪘⫢(⪝⪂⫅∃⊬E24)=∃⊬-1","reverse_text":"∃⊬-1=(∃⊬16AB⇼⇔∾∃⊬4DF)⪘⫢(⪝⪂⫅∃⊬E24)","cot":[{"info":"∃⊬16AB⇼⇔∾∃⊬4DF=∃⊬-11CC","layer":1},{"info":"⪝⪂⫅∃⊬E24=∃⊬-81EAC","layer":1},{"info":"∃⊬-11CC⪘⫢∃⊬-81EAC=∃⊬-1","layer":0}]}
+{"id":242,"expression_no_base_symbol":"$1187$⨽$3277$⩨($3341$*$3617$)","expression":"∃⊬4A3⨽∃⊬CCD⩨(∃⊬D0D*∃⊬E21)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4542,"operation_count":3,"complexity_ratio":1514.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1187,"base":16},"right_expr":{"type":"numeric_atoms","value":3277,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3341,"base":16},"right_expr":{"type":"numeric_atoms","value":3617,"base":16}}},"used_operators":["2DlMacCsIx","8HhzD0ZcuI","9HNa5Wba9A"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1187","layer":2},{"info":"number node, value=3277","layer":2},{"info":"compute binary expreesion, left_input=1187, right_input=3277, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4235424","layer":1},{"info":"number node, value=3341","layer":2},{"info":"number node, value=3617","layer":2},{"info":"compute binary expreesion, left_input=3341, right_input=3617, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12084397","layer":1},{"info":"compute binary expreesion, left_input=-4235424, right_input=12084397, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":0}],"base":16,"result_base":16,"text":"∃⊬4A3⨽∃⊬CCD⩨(∃⊬D0D*∃⊬E21)=∃⊬9","reverse_text":"∃⊬9=∃⊬4A3⨽∃⊬CCD⩨(∃⊬D0D*∃⊬E21)","cot":[{"info":"∃⊬4A3⨽∃⊬CCD=∃⊬-40A0A0","layer":1},{"info":"∃⊬D0D*∃⊬E21=∃⊬B864AD","layer":1},{"info":"∃⊬-40A0A0⩨∃⊬B864AD=∃⊬9","layer":0}]}
+{"id":243,"expression_no_base_symbol":"(⨑⩽⪐$2104$)⪛($5309$⩠)","expression":"(⨑⩽⪐∃⊬838)⪛(∃⊬14BD⩠)","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":2104,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5309,"base":16}}},"used_operators":["uFcxV4UQCh","AF7qkfDlqP","sJAwomhLZr"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2104","layer":2},{"info":"compute unary expreesion, input=2104, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1831","layer":1},{"info":"number node, value=5309","layer":2},{"info":"compute unary expreesion, input=5309, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1831, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐∃⊬838)⪛(∃⊬14BD⩠)=NaN","reverse_text":"NaN=(⨑⩽⪐∃⊬838)⪛(∃⊬14BD⩠)","cot":[{"info":"⨑⩽⪐∃⊬838=∃⊬-727","layer":1},{"info":"∃⊬14BD⩠=∃⊬0","layer":1},{"info":"∃⊬-727⪛∃⊬0=NaN","layer":0}]}
+{"id":244,"expression_no_base_symbol":"($3506$↬$3575$)⩠","expression":"(∃⊬DB2↬∃⊬DF7)⩠","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":3506,"base":16},"right_expr":{"type":"numeric_atoms","value":3575,"base":16}}},"used_operators":["sJAwomhLZr","B5M0gjZbta"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3506","layer":2},{"info":"number node, value=3575","layer":2},{"info":"compute binary expreesion, left_input=3506, right_input=3575, 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":16,"result_base":16,"text":"(∃⊬DB2↬∃⊬DF7)⩠=NaN","reverse_text":"NaN=(∃⊬DB2↬∃⊬DF7)⩠","cot":[{"info":"∃⊬DB2↬∃⊬DF7=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
+{"id":245,"expression_no_base_symbol":"↥$1322$⪛$6347$","expression":"↥∃⊬52A⪛∃⊬18CB","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29,"operation_count":2,"complexity_ratio":14.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1322,"base":16},"right_expr":{"type":"numeric_atoms","value":6347,"base":16}}},"used_operators":["A8NUZmVepG","uFcxV4UQCh"],"dependent_operators":["k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬2F","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1322","layer":2},{"info":"number node, value=6347","layer":2},{"info":"compute binary expreesion, left_input=1322, right_input=6347, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1322","layer":1},{"info":"compute unary expreesion, input=1322, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":0}],"base":16,"result_base":16,"text":"↥∃⊬52A⪛∃⊬18CB=∃⊬2F","reverse_text":"∃⊬2F=↥∃⊬52A⪛∃⊬18CB","cot":[{"info":"∃⊬52A⪛∃⊬18CB=∃⊬52A","layer":1},{"info":"↥∃⊬52A=∃⊬2F","layer":0}]}
+{"id":246,"expression_no_base_symbol":"($5433$⊭∹↮)*($2241$+$4325$)","expression":"(∃⊬1539⊭∹↮)*(∃⊬8C1+∃⊬10E5)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6573,"operation_count":3,"complexity_ratio":2191.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5433,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2241,"base":16},"right_expr":{"type":"numeric_atoms","value":4325,"base":16}}},"used_operators":["9HNa5Wba9A","xNBdhnnwKq","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬440A7EC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5433","layer":2},{"info":"compute unary expreesion, input=5433, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10866","layer":1},{"info":"number node, value=2241","layer":2},{"info":"number node, value=4325","layer":2},{"info":"compute binary expreesion, left_input=2241, right_input=4325, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6566","layer":1},{"info":"compute binary expreesion, left_input=10866, right_input=6566, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=71346156","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1539⊭∹↮)*(∃⊬8C1+∃⊬10E5)=∃⊬440A7EC","reverse_text":"∃⊬440A7EC=(∃⊬1539⊭∹↮)*(∃⊬8C1+∃⊬10E5)","cot":[{"info":"∃⊬1539⊭∹↮=∃⊬2A72","layer":1},{"info":"∃⊬8C1+∃⊬10E5=∃⊬19A6","layer":1},{"info":"∃⊬2A72*∃⊬19A6=∃⊬440A7EC","layer":0}]}
+{"id":247,"expression_no_base_symbol":"$1584$⨎$2961$-$2906$⫸⊐$3255$","expression":"∃⊬630⨎∃⊬B91-∃⊬B5A⫸⊐∃⊬CB7","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1584,"base":16},"right_expr":{"type":"numeric_atoms","value":2961,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2906,"base":16},"right_expr":{"type":"numeric_atoms","value":3255,"base":16}}},"used_operators":["rysDP5nf3Z","rJVOvQCfKK","mqXw5SEYmG"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬-26CE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":2},{"info":"number node, value=2961","layer":2},{"info":"compute binary expreesion, left_input=1584, right_input=2961, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2961","layer":1},{"info":"number node, value=2906","layer":2},{"info":"number node, value=3255","layer":2},{"info":"compute binary expreesion, left_input=2906, right_input=3255, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12895","layer":1},{"info":"compute binary expreesion, left_input=2961, right_input=12895, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-9934","layer":0}],"base":16,"result_base":16,"text":"∃⊬630⨎∃⊬B91-∃⊬B5A⫸⊐∃⊬CB7=∃⊬-26CE","reverse_text":"∃⊬-26CE=∃⊬630⨎∃⊬B91-∃⊬B5A⫸⊐∃⊬CB7","cot":[{"info":"∃⊬630⨎∃⊬B91=∃⊬B91","layer":1},{"info":"∃⊬B5A⫸⊐∃⊬CB7=∃⊬325F","layer":1},{"info":"∃⊬B91-∃⊬325F=∃⊬-26CE","layer":0}]}
+{"id":248,"expression_no_base_symbol":"($6490$⋷$3119$)*($2430$⊉≛↸$2780$)","expression":"(∃⊬195A⋷∃⊬C2F)*(∃⊬97E⊉≛↸∃⊬ADC)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":257,"operation_count":3,"complexity_ratio":85.66666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6490,"base":16},"right_expr":{"type":"numeric_atoms","value":3119,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2430,"base":16},"right_expr":{"type":"numeric_atoms","value":2780,"base":16}}},"used_operators":["9HNa5Wba9A","23Mk6UjR3U","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-12B010","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6490","layer":2},{"info":"number node, value=3119","layer":2},{"info":"compute binary expreesion, left_input=6490, right_input=3119, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-252","layer":1},{"info":"number node, value=2430","layer":2},{"info":"number node, value=2780","layer":2},{"info":"compute binary expreesion, left_input=2430, right_input=2780, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4860","layer":1},{"info":"compute binary expreesion, left_input=-252, right_input=4860, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1224720","layer":0}],"base":16,"result_base":16,"text":"(∃⊬195A⋷∃⊬C2F)*(∃⊬97E⊉≛↸∃⊬ADC)=∃⊬-12B010","reverse_text":"∃⊬-12B010=(∃⊬195A⋷∃⊬C2F)*(∃⊬97E⊉≛↸∃⊬ADC)","cot":[{"info":"∃⊬195A⋷∃⊬C2F=∃⊬-FC","layer":1},{"info":"∃⊬97E⊉≛↸∃⊬ADC=∃⊬12FC","layer":1},{"info":"∃⊬-FC*∃⊬12FC=∃⊬-12B010","layer":0}]}
+{"id":249,"expression_no_base_symbol":"$3045$⪢$8941$+⇶⊼(↔$3396$)","expression":"∃⊬BE5⪢∃⊬22ED+⇶⊼(↔∃⊬D44)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8949,"operation_count":3,"complexity_ratio":2983.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3045,"base":16},"right_expr":{"type":"numeric_atoms","value":8941,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3396,"base":16}}},"used_operators":["TpPTUOHfaN","dWAJyo7jo9","ruOEQAzv1W"],"dependent_operators":["AHs5Up7iyr","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3045","layer":2},{"info":"number node, value=8941","layer":2},{"info":"compute binary expreesion, left_input=3045, right_input=8941, 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=3396","layer":2},{"info":"compute unary expreesion, input=3396, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3123","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3123, 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":16,"result_base":16,"text":"∃⊬BE5⪢∃⊬22ED+⇶⊼(↔∃⊬D44)=NaN","reverse_text":"NaN=∃⊬BE5⪢∃⊬22ED+⇶⊼(↔∃⊬D44)","cot":[{"info":"∃⊬BE5⪢∃⊬22ED=NaN","layer":1},{"info":"↔∃⊬D44=∃⊬-C33","layer":1},{"info":"NaN+⇶⊼∃⊬-C33=NaN","layer":0}]}
+{"id":250,"expression_no_base_symbol":"$2046$⇼⇔∾$3059$↪⪝","expression":"∃⊬7FE⇼⇔∾∃⊬BF3↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":702,"operation_count":2,"complexity_ratio":351.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2046,"base":16},"right_expr":{"type":"numeric_atoms","value":3059,"base":16}}},"used_operators":["l07mrZUIn9","tifHPKVTfV"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬3B1B316","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2046","layer":2},{"info":"number node, value=3059","layer":2},{"info":"compute binary expreesion, left_input=2046, right_input=3059, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1013","layer":1},{"info":"compute unary expreesion, input=1013, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=61977366","layer":0}],"base":16,"result_base":16,"text":"∃⊬7FE⇼⇔∾∃⊬BF3↪⪝=∃⊬3B1B316","reverse_text":"∃⊬3B1B316=∃⊬7FE⇼⇔∾∃⊬BF3↪⪝","cot":[{"info":"∃⊬7FE⇼⇔∾∃⊬BF3=∃⊬3F5","layer":1},{"info":"∃⊬3F5↪⪝=∃⊬3B1B316","layer":0}]}
+{"id":251,"expression_no_base_symbol":"(⩦⩻⨪$2522$)∑⇟⊟($4835$⩷∴$1091$)","expression":"(⩦⩻⨪∃⊬9DA)∑⇟⊟(∃⊬12E3⩷∴∃⊬443)","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":2522,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4835,"base":16},"right_expr":{"type":"numeric_atoms","value":1091,"base":16}}},"used_operators":["U7g4x0WXJJ","2td37pGCOC","9FxExcQeMw"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2522","layer":2},{"info":"compute unary expreesion, input=2522, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2522","layer":1},{"info":"number node, value=4835","layer":2},{"info":"number node, value=1091","layer":2},{"info":"compute binary expreesion, left_input=4835, right_input=1091, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7456","layer":1},{"info":"compute binary expreesion, left_input=2522, right_input=7456, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪∃⊬9DA)∑⇟⊟(∃⊬12E3⩷∴∃⊬443)=NaN","reverse_text":"NaN=(⩦⩻⨪∃⊬9DA)∑⇟⊟(∃⊬12E3⩷∴∃⊬443)","cot":[{"info":"⩦⩻⨪∃⊬9DA=∃⊬9DA","layer":1},{"info":"∃⊬12E3⩷∴∃⊬443=∃⊬1D20","layer":1},{"info":"∃⊬9DA∑⇟⊟∃⊬1D20=NaN","layer":0}]}
+{"id":252,"expression_no_base_symbol":"(⊥$2001$)⨵⪆$3490$⪢$1539$","expression":"(⊥∃⊬7D1)⨵⪆∃⊬DA2⪢∃⊬603","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4703,"operation_count":3,"complexity_ratio":1567.6666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2001,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3490,"base":16},"right_expr":{"type":"numeric_atoms","value":1539,"base":16}}},"used_operators":["2DQ55sFlQl","Q3PJZHRvZv","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","k8jYdgA6NY"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2001","layer":2},{"info":"compute unary expreesion, input=2001, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=3490","layer":2},{"info":"number node, value=1539","layer":2},{"info":"compute binary expreesion, left_input=3490, right_input=1539, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(⊥∃⊬7D1)⨵⪆∃⊬DA2⪢∃⊬603=∃⊬A0","reverse_text":"∃⊬A0=(⊥∃⊬7D1)⨵⪆∃⊬DA2⪢∃⊬603","cot":[{"info":"⊥∃⊬7D1=NaN","layer":1},{"info":"∃⊬DA2⪢∃⊬603=NaN","layer":1},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":0}]}
+{"id":253,"expression_no_base_symbol":"($4235$⨽$7123$)⋥≓≎$4626$+⇶⊼$3164$","expression":"(∃⊬108B⨽∃⊬1BD3)⋥≓≎∃⊬1212+⇶⊼∃⊬C5C","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4247,"operation_count":3,"complexity_ratio":1415.6666666666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4235,"base":16},"right_expr":{"type":"numeric_atoms","value":7123,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4626,"base":16},"right_expr":{"type":"numeric_atoms","value":3164,"base":16}}},"used_operators":["Qy55tPpLXF","8HhzD0ZcuI","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4235","layer":2},{"info":"number node, value=7123","layer":2},{"info":"compute binary expreesion, left_input=4235, right_input=7123, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-53825730","layer":1},{"info":"number node, value=4626","layer":2},{"info":"number node, value=3164","layer":2},{"info":"compute binary expreesion, left_input=4626, right_input=3164, 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=-53825730, 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":16,"result_base":16,"text":"(∃⊬108B⨽∃⊬1BD3)⋥≓≎∃⊬1212+⇶⊼∃⊬C5C=∃⊬43","reverse_text":"∃⊬43=(∃⊬108B⨽∃⊬1BD3)⋥≓≎∃⊬1212+⇶⊼∃⊬C5C","cot":[{"info":"∃⊬108B⨽∃⊬1BD3=∃⊬-33550C2","layer":1},{"info":"∃⊬1212+⇶⊼∃⊬C5C=NaN","layer":1},{"info":"∃⊬-33550C2⋥≓≎NaN=∃⊬43","layer":0}]}
+{"id":254,"expression_no_base_symbol":"⫓⪴($1956$⨎$1035$)","expression":"⫓⪴(∃⊬7A4⨎∃⊬40B)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1036,"operation_count":2,"complexity_ratio":518.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1956,"base":16},"right_expr":{"type":"numeric_atoms","value":1035,"base":16}}},"used_operators":["eLxqMNBOBk","rJVOvQCfKK"],"dependent_operators":["9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬105879","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1956","layer":2},{"info":"number node, value=1035","layer":2},{"info":"compute binary expreesion, left_input=1956, right_input=1035, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1035","layer":1},{"info":"compute unary expreesion, input=1035, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1071225","layer":0}],"base":16,"result_base":16,"text":"⫓⪴(∃⊬7A4⨎∃⊬40B)=∃⊬105879","reverse_text":"∃⊬105879=⫓⪴(∃⊬7A4⨎∃⊬40B)","cot":[{"info":"∃⊬7A4⨎∃⊬40B=∃⊬40B","layer":1},{"info":"⫓⪴∃⊬40B=∃⊬105879","layer":0}]}
+{"id":255,"expression_no_base_symbol":"(⪝⪂⫅$9648$)⨐⩸⫘(⨈⫕$3675$)","expression":"(⪝⪂⫅∃⊬25B0)⨐⩸⫘(⨈⫕∃⊬E5B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1103,"operation_count":3,"complexity_ratio":367.6666666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":9648,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3675,"base":16}}},"used_operators":["fu6greOZ01","XTarYq4gQB","megm06wKyl"],"dependent_operators":["3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬18","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=9648","layer":2},{"info":"compute unary expreesion, input=9648, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1418256","layer":1},{"info":"number node, value=3675","layer":2},{"info":"compute unary expreesion, input=3675, 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=-1418256, right_input=-21, 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=24","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅∃⊬25B0)⨐⩸⫘(⨈⫕∃⊬E5B)=∃⊬18","reverse_text":"∃⊬18=(⪝⪂⫅∃⊬25B0)⨐⩸⫘(⨈⫕∃⊬E5B)","cot":[{"info":"⪝⪂⫅∃⊬25B0=∃⊬-15A410","layer":1},{"info":"⨈⫕∃⊬E5B=∃⊬-15","layer":1},{"info":"∃⊬-15A410⨐⩸⫘∃⊬-15=∃⊬18","layer":0}]}
+{"id":256,"expression_no_base_symbol":"($1330$∧)⫡⨏(⨑⩽⪐$2703$)","expression":"(∃⊬532∧)⫡⨏(⨑⩽⪐∃⊬A8F)","highest_n_order":5,"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":1330,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2703,"base":16}}},"used_operators":["QMFrweE19q","z63VuFQld9","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1330","layer":2},{"info":"compute unary expreesion, input=1330, 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=2703","layer":2},{"info":"compute unary expreesion, input=2703, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2430","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2430, 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":16,"result_base":16,"text":"(∃⊬532∧)⫡⨏(⨑⩽⪐∃⊬A8F)=NaN","reverse_text":"NaN=(∃⊬532∧)⫡⨏(⨑⩽⪐∃⊬A8F)","cot":[{"info":"∃⊬532∧=NaN","layer":1},{"info":"⨑⩽⪐∃⊬A8F=∃⊬-97E","layer":1},{"info":"NaN⫡⨏∃⊬-97E=NaN","layer":0}]}
+{"id":257,"expression_no_base_symbol":"($2299$%$2338$)⨓($3359$∧)","expression":"(∃⊬8FB%∃⊬922)⨓(∃⊬D1F∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2299,"base":16},"right_expr":{"type":"numeric_atoms","value":2338,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3359,"base":16}}},"used_operators":["3ViojmjbAp","k8jYdgA6NY","z63VuFQld9"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2299","layer":2},{"info":"number node, value=2338","layer":2},{"info":"compute binary expreesion, left_input=2299, right_input=2338, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2299","layer":1},{"info":"number node, value=3359","layer":2},{"info":"compute unary expreesion, input=3359, 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=2299, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬8FB%∃⊬922)⨓(∃⊬D1F∧)=NaN","reverse_text":"NaN=(∃⊬8FB%∃⊬922)⨓(∃⊬D1F∧)","cot":[{"info":"∃⊬8FB%∃⊬922=∃⊬8FB","layer":1},{"info":"∃⊬D1F∧=NaN","layer":1},{"info":"∃⊬8FB⨓NaN=NaN","layer":0}]}
+{"id":258,"expression_no_base_symbol":"($2873$/$3023$)↬(⪲⇎$2208$)","expression":"(∃⊬B39/∃⊬BCF)↬(⪲⇎∃⊬8A0)","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":2873,"base":16},"right_expr":{"type":"numeric_atoms","value":3023,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2208,"base":16}}},"used_operators":["B5M0gjZbta","XhwjNDsVaA","XPYlsWDdGa"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1140","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2873","layer":2},{"info":"number node, value=3023","layer":2},{"info":"compute binary expreesion, left_input=2873, right_input=3023, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=2208","layer":2},{"info":"compute unary expreesion, input=2208, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4416","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4416, 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=4416","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B39/∃⊬BCF)↬(⪲⇎∃⊬8A0)=∃⊬1140","reverse_text":"∃⊬1140=(∃⊬B39/∃⊬BCF)↬(⪲⇎∃⊬8A0)","cot":[{"info":"∃⊬B39/∃⊬BCF=∃⊬0","layer":1},{"info":"⪲⇎∃⊬8A0=∃⊬1140","layer":1},{"info":"∃⊬0↬∃⊬1140=∃⊬1140","layer":0}]}
+{"id":259,"expression_no_base_symbol":"($2126$≭$2341$)⨰($1198$⋓$4807$)","expression":"(∃⊬84E≭∃⊬925)⨰(∃⊬4AE⋓∃⊬12C7)","highest_n_order":5,"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":2126,"base":16},"right_expr":{"type":"numeric_atoms","value":2341,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1198,"base":16},"right_expr":{"type":"numeric_atoms","value":4807,"base":16}}},"used_operators":["eewbuw0ToL","rxpJgHHUmx","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2126","layer":2},{"info":"number node, value=2341","layer":2},{"info":"compute binary expreesion, left_input=2126, right_input=2341, 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=1198","layer":2},{"info":"number node, value=4807","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=4807, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬84E≭∃⊬925)⨰(∃⊬4AE⋓∃⊬12C7)=NaN","reverse_text":"NaN=(∃⊬84E≭∃⊬925)⨰(∃⊬4AE⋓∃⊬12C7)","cot":[{"info":"∃⊬84E≭∃⊬925=NaN","layer":1},{"info":"∃⊬4AE⋓∃⊬12C7=∃⊬0","layer":1},{"info":"NaN⨰∃⊬0=NaN","layer":0}]}
+{"id":260,"expression_no_base_symbol":"($5545$≫≃)⋥≓≎(↔$4171$)","expression":"(∃⊬15A9≫≃)⋥≓≎(↔∃⊬104B)","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":5545,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4171,"base":16}}},"used_operators":["Qy55tPpLXF","X99M06cbEe","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬-4F1E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5545","layer":2},{"info":"compute unary expreesion, input=5545, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12491","layer":1},{"info":"number node, value=4171","layer":2},{"info":"compute unary expreesion, input=4171, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3898","layer":1},{"info":"compute binary expreesion, left_input=12491, right_input=-3898, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-20254","layer":0}],"base":16,"result_base":16,"text":"(∃⊬15A9≫≃)⋥≓≎(↔∃⊬104B)=∃⊬-4F1E","reverse_text":"∃⊬-4F1E=(∃⊬15A9≫≃)⋥≓≎(↔∃⊬104B)","cot":[{"info":"∃⊬15A9≫≃=∃⊬30CB","layer":1},{"info":"↔∃⊬104B=∃⊬-F3A","layer":1},{"info":"∃⊬30CB⋥≓≎∃⊬-F3A=∃⊬-4F1E","layer":0}]}
+{"id":261,"expression_no_base_symbol":"$3170$⫡⨏$1434$⨵⪆$1343$⨎$1166$","expression":"∃⊬C62⫡⨏∃⊬59A⨵⪆∃⊬53F⨎∃⊬48E","highest_n_order":2,"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":3170,"base":16},"right_expr":{"type":"numeric_atoms","value":1434,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1343,"base":16},"right_expr":{"type":"numeric_atoms","value":1166,"base":16}}},"used_operators":["2DQ55sFlQl","QMFrweE19q","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3170","layer":2},{"info":"number node, value=1434","layer":2},{"info":"compute binary expreesion, left_input=3170, right_input=1434, 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=19501","layer":1},{"info":"number node, value=1343","layer":2},{"info":"number node, value=1166","layer":2},{"info":"compute binary expreesion, left_input=1343, right_input=1166, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1166","layer":1},{"info":"compute binary expreesion, left_input=19501, right_input=1166, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬C62⫡⨏∃⊬59A⨵⪆∃⊬53F⨎∃⊬48E=∃⊬A0","reverse_text":"∃⊬A0=∃⊬C62⫡⨏∃⊬59A⨵⪆∃⊬53F⨎∃⊬48E","cot":[{"info":"∃⊬C62⫡⨏∃⊬59A=∃⊬4C2D","layer":1},{"info":"∃⊬53F⨎∃⊬48E=∃⊬48E","layer":1},{"info":"∃⊬4C2D⨵⪆∃⊬48E=∃⊬A0","layer":0}]}
+{"id":262,"expression_no_base_symbol":"(≦∁$1208$)⇷($5163$⩚⊴⇥$5407$)","expression":"(≦∁∃⊬4B8)⇷(∃⊬142B⩚⊴⇥∃⊬151F)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16924,"operation_count":3,"complexity_ratio":5641.333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1208,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5163,"base":16},"right_expr":{"type":"numeric_atoms","value":5407,"base":16}}},"used_operators":["mp7IySMOzn","9ICcGScMcE","NTOWxs364D"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1208","layer":2},{"info":"compute unary expreesion, input=1208, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1208","layer":1},{"info":"number node, value=5163","layer":2},{"info":"number node, value=5407","layer":2},{"info":"compute binary expreesion, left_input=5163, right_input=5407, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10691","layer":1},{"info":"compute binary expreesion, left_input=1208, right_input=-10691, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬4B8)⇷(∃⊬142B⩚⊴⇥∃⊬151F)=NaN","reverse_text":"NaN=(≦∁∃⊬4B8)⇷(∃⊬142B⩚⊴⇥∃⊬151F)","cot":[{"info":"≦∁∃⊬4B8=∃⊬4B8","layer":1},{"info":"∃⊬142B⩚⊴⇥∃⊬151F=∃⊬-29C3","layer":1},{"info":"∃⊬4B8⇷∃⊬-29C3=NaN","layer":0}]}
+{"id":263,"expression_no_base_symbol":"($1060$⩨$3828$)∑⇟⊟($1356$⋝⋈⪟$1334$)","expression":"(∃⊬424⩨∃⊬EF4)∑⇟⊟(∃⊬54C⋝⋈⪟∃⊬536)","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":1060,"base":16},"right_expr":{"type":"numeric_atoms","value":3828,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1356,"base":16},"right_expr":{"type":"numeric_atoms","value":1334,"base":16}}},"used_operators":["U7g4x0WXJJ","2DlMacCsIx","2DDjHMKMc0"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1060","layer":2},{"info":"number node, value=3828","layer":2},{"info":"compute binary expreesion, left_input=1060, right_input=3828, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"number node, value=1356","layer":2},{"info":"number node, value=1334","layer":2},{"info":"compute binary expreesion, left_input=1356, right_input=1334, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1356","layer":1},{"info":"compute binary expreesion, left_input=-9, right_input=1356, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬424⩨∃⊬EF4)∑⇟⊟(∃⊬54C⋝⋈⪟∃⊬536)=NaN","reverse_text":"NaN=(∃⊬424⩨∃⊬EF4)∑⇟⊟(∃⊬54C⋝⋈⪟∃⊬536)","cot":[{"info":"∃⊬424⩨∃⊬EF4=∃⊬-9","layer":1},{"info":"∃⊬54C⋝⋈⪟∃⊬536=∃⊬54C","layer":1},{"info":"∃⊬-9∑⇟⊟∃⊬54C=NaN","layer":0}]}
+{"id":264,"expression_no_base_symbol":"($4489$∧)⪐","expression":"(∃⊬1189∧)⪐","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":4489,"base":16}}},"used_operators":["eH2TOUuTDT","z63VuFQld9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4489","layer":2},{"info":"compute unary expreesion, input=4489, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1189∧)⪐=NaN","reverse_text":"NaN=(∃⊬1189∧)⪐","cot":[{"info":"∃⊬1189∧=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
+{"id":265,"expression_no_base_symbol":"($3720$⨳⩥⨓$1839$)⩷∴($4026$⨎$1559$)","expression":"(∃⊬E88⨳⩥⨓∃⊬72F)⩷∴(∃⊬FBA⨎∃⊬617)","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":3720,"base":16},"right_expr":{"type":"numeric_atoms","value":1839,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4026,"base":16},"right_expr":{"type":"numeric_atoms","value":1559,"base":16}}},"used_operators":["9FxExcQeMw","nCS4ZIUYfx","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬-1B00","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3720","layer":2},{"info":"number node, value=1839","layer":2},{"info":"compute binary expreesion, left_input=3720, right_input=1839, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1881","layer":1},{"info":"number node, value=4026","layer":2},{"info":"number node, value=1559","layer":2},{"info":"compute binary expreesion, left_input=4026, right_input=1559, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1559","layer":1},{"info":"compute binary expreesion, left_input=-1881, right_input=1559, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6912","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E88⨳⩥⨓∃⊬72F)⩷∴(∃⊬FBA⨎∃⊬617)=∃⊬-1B00","reverse_text":"∃⊬-1B00=(∃⊬E88⨳⩥⨓∃⊬72F)⩷∴(∃⊬FBA⨎∃⊬617)","cot":[{"info":"∃⊬E88⨳⩥⨓∃⊬72F=∃⊬-759","layer":1},{"info":"∃⊬FBA⨎∃⊬617=∃⊬617","layer":1},{"info":"∃⊬-759⩷∴∃⊬617=∃⊬-1B00","layer":0}]}
+{"id":266,"expression_no_base_symbol":"($4680$⇋≉)+⇶⊼($5491$+$2831$)","expression":"(∃⊬1248⇋≉)+⇶⊼(∃⊬1573+∃⊬B0F)","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":4680,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5491,"base":16},"right_expr":{"type":"numeric_atoms","value":2831,"base":16}}},"used_operators":["TpPTUOHfaN","XIabStNQrY","W4YGzv6Whe"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4680","layer":2},{"info":"compute unary expreesion, input=4680, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9262","layer":1},{"info":"number node, value=5491","layer":2},{"info":"number node, value=2831","layer":2},{"info":"compute binary expreesion, left_input=5491, right_input=2831, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8322","layer":1},{"info":"compute binary expreesion, left_input=9262, right_input=8322, 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":16,"result_base":16,"text":"(∃⊬1248⇋≉)+⇶⊼(∃⊬1573+∃⊬B0F)=NaN","reverse_text":"NaN=(∃⊬1248⇋≉)+⇶⊼(∃⊬1573+∃⊬B0F)","cot":[{"info":"∃⊬1248⇋≉=∃⊬242E","layer":1},{"info":"∃⊬1573+∃⊬B0F=∃⊬2082","layer":1},{"info":"∃⊬242E+⇶⊼∃⊬2082=NaN","layer":0}]}
+{"id":267,"expression_no_base_symbol":"$6191$⩚⊴⇥$2121$⨵⪆($4813$+$2919$)","expression":"∃⊬182F⩚⊴⇥∃⊬849⨵⪆(∃⊬12CD+∃⊬B67)","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":6191,"base":16},"right_expr":{"type":"numeric_atoms","value":2121,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4813,"base":16},"right_expr":{"type":"numeric_atoms","value":2919,"base":16}}},"used_operators":["2DQ55sFlQl","NTOWxs364D","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6191","layer":2},{"info":"number node, value=2121","layer":2},{"info":"compute binary expreesion, left_input=6191, right_input=2121, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8433","layer":1},{"info":"number node, value=4813","layer":2},{"info":"number node, value=2919","layer":2},{"info":"compute binary expreesion, left_input=4813, right_input=2919, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7732","layer":1},{"info":"compute binary expreesion, left_input=-8433, right_input=7732, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬182F⩚⊴⇥∃⊬849⨵⪆(∃⊬12CD+∃⊬B67)=∃⊬A0","reverse_text":"∃⊬A0=∃⊬182F⩚⊴⇥∃⊬849⨵⪆(∃⊬12CD+∃⊬B67)","cot":[{"info":"∃⊬182F⩚⊴⇥∃⊬849=∃⊬-20F1","layer":1},{"info":"∃⊬12CD+∃⊬B67=∃⊬1E34","layer":1},{"info":"∃⊬-20F1⨵⪆∃⊬1E34=∃⊬A0","layer":0}]}
+{"id":268,"expression_no_base_symbol":"≉$2052$∼$1086$","expression":"≉∃⊬804∼∃⊬43E","highest_n_order":4,"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":2052,"base":16},"right_expr":{"type":"numeric_atoms","value":1086,"base":16}}},"used_operators":["e1ybzncUwg","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2052","layer":2},{"info":"number node, value=1086","layer":2},{"info":"compute binary expreesion, left_input=2052, right_input=1086, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":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":16,"result_base":16,"text":"≉∃⊬804∼∃⊬43E=NaN","reverse_text":"NaN=≉∃⊬804∼∃⊬43E","cot":[{"info":"∃⊬804∼∃⊬43E=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
+{"id":269,"expression_no_base_symbol":"⊄⩳↩($4325$/$4390$)","expression":"⊄⩳↩(∃⊬10E5/∃⊬1126)","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":4325,"base":16},"right_expr":{"type":"numeric_atoms","value":4390,"base":16}}},"used_operators":["8w2t5hMYqp","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4325","layer":2},{"info":"number node, value=4390","layer":2},{"info":"compute binary expreesion, left_input=4325, right_input=4390, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":16,"result_base":16,"text":"⊄⩳↩(∃⊬10E5/∃⊬1126)=∃⊬0","reverse_text":"∃⊬0=⊄⩳↩(∃⊬10E5/∃⊬1126)","cot":[{"info":"∃⊬10E5/��⊬1126=∃⊬0","layer":1},{"info":"⊄⩳↩∃⊬0=∃⊬0","layer":0}]}
+{"id":270,"expression_no_base_symbol":"∥⊫(↯⪼$1930$)","expression":"∥⊫(↯⪼∃⊬78A)","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":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1930,"base":16}}},"used_operators":["P8v4zCKN1o","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬34F","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1930","layer":2},{"info":"compute unary expreesion, input=1930, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=847","layer":0}],"base":16,"result_base":16,"text":"∥⊫(↯⪼∃⊬78A)=∃⊬34F","reverse_text":"∃⊬34F=∥⊫(↯⪼∃⊬78A)","cot":[{"info":"↯⪼∃⊬78A=∃⊬-15","layer":1},{"info":"∥⊫∃⊬-15=∃⊬34F","layer":0}]}
+{"id":271,"expression_no_base_symbol":"≤/$1072$↺$2194$","expression":"≤/∃⊬430↺∃⊬892","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":1072,"base":16},"right_expr":{"type":"numeric_atoms","value":2194,"base":16}}},"used_operators":["eLAdDNolq6","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-6AE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":2},{"info":"number node, value=2194","layer":2},{"info":"compute binary expreesion, left_input=1072, right_input=2194, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2194","layer":1},{"info":"compute unary expreesion, input=2194, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1710","layer":0}],"base":16,"result_base":16,"text":"≤/∃⊬430↺∃⊬892=∃⊬-6AE","reverse_text":"∃⊬-6AE=≤/∃⊬430↺∃⊬892","cot":[{"info":"∃⊬430↺∃⊬892=∃⊬892","layer":1},{"info":"≤/∃⊬892=∃⊬-6AE","layer":0}]}
+{"id":272,"expression_no_base_symbol":"⪲⇎$1492$∼$5156$","expression":"⪲⇎∃⊬5D4∼∃⊬1424","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33,"operation_count":2,"complexity_ratio":16.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1492,"base":16},"right_expr":{"type":"numeric_atoms","value":5156,"base":16}}},"used_operators":["XPYlsWDdGa","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1492","layer":2},{"info":"number node, value=5156","layer":2},{"info":"compute binary expreesion, left_input=1492, right_input=5156, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⪲⇎∃⊬5D4∼∃⊬1424=NaN","reverse_text":"NaN=⪲⇎∃⊬5D4∼∃⊬1424","cot":[{"info":"∃⊬5D4∼∃⊬1424=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
+{"id":273,"expression_no_base_symbol":"(↯⪼$1199$)⋓$3973$∀⇚≩$2231$","expression":"(↯⪼∃⊬4AF)⋓∃⊬F85∀⇚≩∃⊬8B7","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27855,"operation_count":3,"complexity_ratio":9285.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1199,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3973,"base":16},"right_expr":{"type":"numeric_atoms","value":2231,"base":16}}},"used_operators":["T2fj7uvVaJ","8jW3W4yZS5","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1199","layer":2},{"info":"compute unary expreesion, input=1199, 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=3973","layer":2},{"info":"number node, value=2231","layer":2},{"info":"compute binary expreesion, left_input=3973, right_input=2231, 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=-21, 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":16,"result_base":16,"text":"(↯⪼∃⊬4AF)⋓∃⊬F85∀⇚≩∃⊬8B7=NaN","reverse_text":"NaN=(↯⪼∃⊬4AF)⋓∃⊬F85∀⇚≩∃⊬8B7","cot":[{"info":"↯⪼∃⊬4AF=∃⊬-15","layer":1},{"info":"∃⊬F85∀⇚≩∃⊬8B7=NaN","layer":1},{"info":"∃⊬-15⋓NaN=NaN","layer":0}]}
+{"id":274,"expression_no_base_symbol":"($1648$⪄$2709$)⋓($2358$⪨≂$5218$)","expression":"(∃⊬670⪄∃⊬A95)⋓(∃⊬936⪨≂∃⊬1462)","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":1648,"base":16},"right_expr":{"type":"numeric_atoms","value":2709,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2358,"base":16},"right_expr":{"type":"numeric_atoms","value":5218,"base":16}}},"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":16,"flag":true},"cot_info":[{"info":"number node, value=1648","layer":2},{"info":"number node, value=2709","layer":2},{"info":"compute binary expreesion, left_input=1648, right_input=2709, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-250829","layer":1},{"info":"number node, value=2358","layer":2},{"info":"number node, value=5218","layer":2},{"info":"compute binary expreesion, left_input=2358, right_input=5218, 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=-5618","layer":1},{"info":"compute binary expreesion, left_input=-250829, right_input=-5618, 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":16,"result_base":16,"text":"(∃⊬670⪄∃⊬A95)⋓(∃⊬936⪨≂∃⊬1462)=∃⊬0","reverse_text":"∃⊬0=(∃⊬670⪄∃⊬A95)⋓(∃⊬936⪨≂∃⊬1462)","cot":[{"info":"∃⊬670⪄∃⊬A95=∃⊬-3D3CD","layer":1},{"info":"∃⊬936⪨≂∃⊬1462=∃⊬-15F2","layer":1},{"info":"∃⊬-3D3CD⋓∃⊬-15F2=∃⊬0","layer":0}]}
+{"id":275,"expression_no_base_symbol":"(-$9229$)⇋≉","expression":"(-∃⊬240D)⇋≉","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":9229,"base":16}}},"used_operators":["XIabStNQrY","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-487C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=9229","layer":2},{"info":"compute unary expreesion, input=9229, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-9229","layer":1},{"info":"compute unary expreesion, input=-9229, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-18556","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬240D)⇋≉=∃⊬-487C","reverse_text":"∃⊬-487C=(-∃⊬240D)⇋≉","cot":[{"info":"-∃⊬240D=∃⊬-240D","layer":1},{"info":"∃⊬-240D⇋≉=∃⊬-487C","layer":0}]}
+{"id":276,"expression_no_base_symbol":"$1000$⨐⩸⫘$5340$⪄$1923$↬$3503$","expression":"∃⊬3E8⨐⩸⫘∃⊬14DC⪄∃⊬783↬∃⊬DAF","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1000,"base":16},"right_expr":{"type":"numeric_atoms","value":5340,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1923,"base":16},"right_expr":{"type":"numeric_atoms","value":3503,"base":16}}},"used_operators":["SUmda5xLS4","fu6greOZ01","B5M0gjZbta"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","rGHVDoGpnC"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"number node, value=5340","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=5340, 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=1923","layer":2},{"info":"number node, value=3503","layer":2},{"info":"compute binary expreesion, left_input=1923, right_input=3503, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":16,"result_base":16,"text":"∃⊬3E8⨐⩸⫘∃⊬14DC⪄∃⊬783↬∃⊬DAF=∃⊬F8B","reverse_text":"∃⊬F8B=∃⊬3E8⨐⩸⫘∃⊬14DC⪄∃⊬783↬∃⊬DAF","cot":[{"info":"∃⊬3E8⨐⩸⫘∃⊬14DC=NaN","layer":1},{"info":"∃⊬783↬∃⊬DAF=NaN","layer":1},{"info":"NaN⪄NaN=∃⊬F8B","layer":0}]}
+{"id":277,"expression_no_base_symbol":"(⫓⪴$1393$)≣⋋","expression":"(⫓⪴∃⊬571)≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1907,"operation_count":2,"complexity_ratio":953.5,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1393,"base":16}}},"used_operators":["Tcnh7f0tEr","eLxqMNBOBk"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1393","layer":2},{"info":"compute unary expreesion, input=1393, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1940449","layer":1},{"info":"compute unary expreesion, input=1940449, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(⫓⪴∃⊬571)≣⋋=∃⊬0","reverse_text":"∃⊬0=(⫓⪴∃⊬571)≣⋋","cot":[{"info":"⫓⪴∃⊬571=∃⊬1D9BE1","layer":1},{"info":"∃⊬1D9BE1≣⋋=∃⊬0","layer":0}]}
+{"id":278,"expression_no_base_symbol":"⇁⨣⪵($3670$⇼⇔∾$3938$)","expression":"⇁⨣⪵(∃⊬E56⇼⇔∾∃⊬F62)","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":3670,"base":16},"right_expr":{"type":"numeric_atoms","value":3938,"base":16}}},"used_operators":["inkyxCbjAn","tifHPKVTfV"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3670","layer":2},{"info":"number node, value=3938","layer":2},{"info":"compute binary expreesion, left_input=3670, right_input=3938, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=268","layer":1},{"info":"compute unary expreesion, input=268, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵(∃⊬E56⇼⇔∾∃⊬F62)=NaN","reverse_text":"NaN=⇁⨣⪵(∃⊬E56⇼⇔∾∃⊬F62)","cot":[{"info":"∃⊬E56⇼⇔∾∃⊬F62=∃⊬10C","layer":1},{"info":"⇁⨣⪵∃⊬10C=NaN","layer":0}]}
+{"id":279,"expression_no_base_symbol":"($2537$∲⫓$7158$)-$1675$⪮%⊝$1457$","expression":"(∃⊬9E9∲⫓∃⊬1BF6)-∃⊬68B⪮%⊝∃⊬5B1","highest_n_order":2,"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":2537,"base":16},"right_expr":{"type":"numeric_atoms","value":7158,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1675,"base":16},"right_expr":{"type":"numeric_atoms","value":1457,"base":16}}},"used_operators":["rysDP5nf3Z","i8ToyICDmI","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬-E52","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2537","layer":2},{"info":"number node, value=7158","layer":2},{"info":"compute binary expreesion, left_input=2537, right_input=7158, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1675","layer":2},{"info":"number node, value=1457","layer":2},{"info":"compute binary expreesion, left_input=1675, right_input=1457, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3666","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3666, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3666","layer":0}],"base":16,"result_base":16,"text":"(∃⊬9E9∲⫓∃⊬1BF6)-∃⊬68B⪮%⊝∃⊬5B1=∃⊬-E52","reverse_text":"∃⊬-E52=(∃⊬9E9∲⫓∃⊬1BF6)-∃⊬68B⪮%⊝∃⊬5B1","cot":[{"info":"∃⊬9E9∲⫓∃⊬1BF6=∃⊬0","layer":1},{"info":"∃⊬68B⪮%⊝∃⊬5B1=∃⊬E52","layer":1},{"info":"∃⊬0-∃⊬E52=∃⊬-E52","layer":0}]}
+{"id":280,"expression_no_base_symbol":"$3024$⩨$4090$⪨≂($1239$⊘)","expression":"∃⊬BD0⩨∃⊬FFA⪨≂(∃⊬4D7⊘)","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":3024,"base":16},"right_expr":{"type":"numeric_atoms","value":4090,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1239,"base":16}}},"used_operators":["sdazOOVcIp","2DlMacCsIx","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"∃⊬60","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3024","layer":2},{"info":"number node, value=4090","layer":2},{"info":"compute binary expreesion, left_input=3024, right_input=4090, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=1239","layer":2},{"info":"compute unary expreesion, input=1239, 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=-3, 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=96","layer":0}],"base":16,"result_base":16,"text":"∃⊬BD0⩨∃⊬FFA⪨≂(∃⊬4D7⊘)=∃⊬60","reverse_text":"∃⊬60=∃⊬BD0⩨∃⊬FFA⪨≂(∃⊬4D7⊘)","cot":[{"info":"∃⊬BD0⩨∃⊬FFA=∃⊬-3","layer":1},{"info":"∃⊬4D7⊘=∃⊬0","layer":1},{"info":"∃⊬-3⪨≂∃⊬0=∃⊬60","layer":0}]}
+{"id":281,"expression_no_base_symbol":"$1239$∀⇚≩$2203$∲⫓$1183$∲⫓$1280$","expression":"∃⊬4D7∀⇚≩∃⊬89B∲⫓∃⊬49F∲⫓∃⊬500","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8676,"operation_count":3,"complexity_ratio":2892.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1239,"base":16},"right_expr":{"type":"numeric_atoms","value":2203,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1183,"base":16},"right_expr":{"type":"numeric_atoms","value":1280,"base":16}}},"used_operators":["i8ToyICDmI","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1239","layer":2},{"info":"number node, value=2203","layer":2},{"info":"compute binary expreesion, left_input=1239, right_input=2203, 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=1183","layer":2},{"info":"number node, value=1280","layer":2},{"info":"compute binary expreesion, left_input=1183, right_input=1280, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬4D7∀⇚≩∃⊬89B∲⫓∃��49F∲⫓∃⊬500=NaN","reverse_text":"NaN=∃⊬4D7∀⇚≩∃⊬89B∲⫓∃⊬49F∲⫓∃⊬500","cot":[{"info":"∃⊬4D7∀⇚≩∃⊬89B=NaN","layer":1},{"info":"∃⊬49F∲⫓∃⊬500=∃⊬0","layer":1},{"info":"NaN∲⫓∃⊬0=NaN","layer":0}]}
+{"id":282,"expression_no_base_symbol":"(⊙↵-$3587$)⋝⋈⪟$2214$≹⇙⪍$4477$","expression":"(⊙↵-∃⊬E03)⋝⋈⪟∃⊬8A6≹⇙⪍∃⊬117D","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3637,"operation_count":3,"complexity_ratio":1212.3333333333333,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3587,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2214,"base":16},"right_expr":{"type":"numeric_atoms","value":4477,"base":16}}},"used_operators":["2DDjHMKMc0","oWn0xqSxBt","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3587","layer":2},{"info":"compute unary expreesion, input=3587, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=2214","layer":2},{"info":"number node, value=4477","layer":2},{"info":"compute binary expreesion, left_input=2214, right_input=4477, 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=-1, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-∃⊬E03)⋝⋈⪟∃⊬8A6≹⇙⪍∃⊬117D=NaN","reverse_text":"NaN=(⊙↵-∃⊬E03)⋝⋈⪟∃⊬8A6≹⇙⪍∃⊬117D","cot":[{"info":"⊙↵-∃⊬E03=∃⊬-1","layer":1},{"info":"∃⊬8A6≹⇙⪍∃⊬117D=NaN","layer":1},{"info":"∃⊬-1⋝⋈⪟NaN=NaN","layer":0}]}
+{"id":283,"expression_no_base_symbol":"$2795$↬$1847$∲⫓$1660$⪮%⊝$2401$","expression":"∃⊬AEB↬∃⊬737∲⫓∃⊬67C⪮%⊝∃⊬961","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":2795,"base":16},"right_expr":{"type":"numeric_atoms","value":1847,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1660,"base":16},"right_expr":{"type":"numeric_atoms","value":2401,"base":16}}},"used_operators":["i8ToyICDmI","B5M0gjZbta","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2795","layer":2},{"info":"number node, value=1847","layer":2},{"info":"compute binary expreesion, left_input=2795, 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=1660","layer":2},{"info":"number node, value=2401","layer":2},{"info":"compute binary expreesion, left_input=1660, right_input=2401, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3636","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3636, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬AEB↬∃⊬737∲⫓∃⊬67C⪮%⊝∃⊬961=∃⊬0","reverse_text":"∃⊬0=∃⊬AEB↬∃⊬737∲⫓∃⊬67C⪮%⊝∃⊬961","cot":[{"info":"∃⊬AEB↬∃⊬737=NaN","layer":1},{"info":"∃⊬67C⪮%⊝∃⊬961=∃⊬E34","layer":1},{"info":"NaN∲⫓∃⊬E34=∃⊬0","layer":0}]}
+{"id":284,"expression_no_base_symbol":"($3847$≦≮≮)⪛(↔$5333$)","expression":"(∃⊬F07≦≮≮)⪛(↔∃⊬14D5)","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":3847,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5333,"base":16}}},"used_operators":["uFcxV4UQCh","D4vGDi5EA2","ruOEQAzv1W"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬-58D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3847","layer":2},{"info":"compute unary expreesion, input=3847, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11541","layer":1},{"info":"number node, value=5333","layer":2},{"info":"compute unary expreesion, input=5333, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5060","layer":1},{"info":"compute binary expreesion, left_input=-11541, right_input=-5060, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1421","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F07≦≮≮)⪛(↔∃⊬14D5)=∃⊬-58D","reverse_text":"∃⊬-58D=(∃⊬F07≦≮≮)⪛(↔∃⊬14D5)","cot":[{"info":"∃⊬F07≦≮≮=∃⊬-2D15","layer":1},{"info":"↔∃⊬14D5=∃⊬-13C4","layer":1},{"info":"∃⊬-2D15⪛∃⊬-13C4=∃⊬-58D","layer":0}]}
+{"id":285,"expression_no_base_symbol":"⫓⪴(⊥$4492$)","expression":"⫓⪴(⊥∃⊬118C)","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":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4492,"base":16}}},"used_operators":["eLxqMNBOBk","Q3PJZHRvZv"],"dependent_operators":["9HNa5Wba9A","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4492","layer":2},{"info":"compute unary expreesion, input=4492, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⫓⪴(⊥∃⊬118C)=NaN","reverse_text":"NaN=⫓⪴(⊥∃⊬118C)","cot":[{"info":"⊥∃⊬118C=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
+{"id":286,"expression_no_base_symbol":"(⋗⩬⋾$1030$)⪘⫢$6846$≹⇙⪍$2146$","expression":"(⋗⩬⋾∃⊬406)⪘⫢∃⊬1ABE≹⇙⪍∃⊬862","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":1030,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6846,"base":16},"right_expr":{"type":"numeric_atoms","value":2146,"base":16}}},"used_operators":["oacrs7FA3X","DpFCA1CohY","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":2},{"info":"compute unary expreesion, input=1030, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3090","layer":1},{"info":"number node, value=6846","layer":2},{"info":"number node, value=2146","layer":2},{"info":"compute binary expreesion, left_input=6846, right_input=2146, 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=-3090, 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":16,"result_base":16,"text":"(⋗⩬⋾∃⊬406)⪘⫢∃⊬1ABE≹⇙⪍∃⊬862=NaN","reverse_text":"NaN=(⋗⩬⋾∃⊬406)⪘⫢∃⊬1ABE≹⇙⪍∃⊬862","cot":[{"info":"⋗⩬⋾∃⊬406=∃⊬-C12","layer":1},{"info":"∃⊬1ABE≹⇙⪍∃⊬862=NaN","layer":1},{"info":"∃⊬-C12⪘⫢NaN=NaN","layer":0}]}
+{"id":287,"expression_no_base_symbol":"⩦⩻⨪$3294$⇷$4584$","expression":"⩦⩻⨪∃⊬CDE⇷∃⊬11E8","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":46125,"operation_count":2,"complexity_ratio":23062.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3294,"base":16},"right_expr":{"type":"numeric_atoms","value":4584,"base":16}}},"used_operators":["2td37pGCOC","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬23D0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3294","layer":2},{"info":"number node, value=4584","layer":2},{"info":"compute binary expreesion, left_input=3294, right_input=4584, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9168","layer":1},{"info":"compute unary expreesion, input=9168, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=9168","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪∃⊬CDE⇷∃⊬11E8=∃⊬23D0","reverse_text":"∃⊬23D0=⩦⩻⨪∃⊬CDE⇷∃⊬11E8","cot":[{"info":"∃⊬CDE⇷∃⊬11E8=∃⊬23D0","layer":1},{"info":"⩦⩻⨪∃⊬23D0=∃⊬23D0","layer":0}]}
+{"id":288,"expression_no_base_symbol":"($3572$⨎$2630$)≧⫂∧($6127$⨎$3068$)","expression":"(∃⊬DF4⨎∃⊬A46)≧⫂∧(∃⊬17EF⨎∃⊬BFC)","highest_n_order":2,"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":3572,"base":16},"right_expr":{"type":"numeric_atoms","value":2630,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6127,"base":16},"right_expr":{"type":"numeric_atoms","value":3068,"base":16}}},"used_operators":["Ph9nP6C5qx","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬A23","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3572","layer":2},{"info":"number node, value=2630","layer":2},{"info":"compute binary expreesion, left_input=3572, right_input=2630, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2630","layer":1},{"info":"number node, value=6127","layer":2},{"info":"number node, value=3068","layer":2},{"info":"compute binary expreesion, left_input=6127, right_input=3068, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3068","layer":1},{"info":"compute binary expreesion, left_input=2630, right_input=3068, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2595","layer":0}],"base":16,"result_base":16,"text":"(∃⊬DF4⨎∃⊬A46)≧⫂∧(∃⊬17EF⨎∃⊬BFC)=∃⊬A23","reverse_text":"∃⊬A23=(∃⊬DF4⨎∃⊬A46)≧⫂∧(∃⊬17EF⨎∃⊬BFC)","cot":[{"info":"∃⊬DF4⨎∃⊬A46=∃⊬A46","layer":1},{"info":"∃⊬17EF⨎∃⊬BFC=∃⊬BFC","layer":1},{"info":"∃⊬A46≧⫂∧∃⊬BFC=∃⊬A23","layer":0}]}
+{"id":289,"expression_no_base_symbol":"($1092$⋳⪒$2094$)∀⇚≩($2710$⩚⊴⇥$5023$)","expression":"(∃⊬444⋳⪒∃⊬82E)∀⇚≩(∃⊬A96⩚⊴⇥∃⊬139F)","highest_n_order":3,"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":1092,"base":16},"right_expr":{"type":"numeric_atoms","value":2094,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2710,"base":16},"right_expr":{"type":"numeric_atoms","value":5023,"base":16}}},"used_operators":["LRNGc0VcxI","12rbrZMWeM","NTOWxs364D"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":2},{"info":"number node, value=2094","layer":2},{"info":"compute binary expreesion, left_input=1092, right_input=2094, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-197","layer":1},{"info":"number node, value=2710","layer":2},{"info":"number node, value=5023","layer":2},{"info":"compute binary expreesion, left_input=2710, right_input=5023, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7854","layer":1},{"info":"compute binary expreesion, left_input=-197, right_input=-7854, 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":16,"result_base":16,"text":"(∃⊬444⋳⪒∃⊬82E)∀⇚≩(∃⊬A96⩚⊴⇥∃⊬139F)=NaN","reverse_text":"NaN=(∃⊬444⋳⪒∃⊬82E)∀⇚≩(∃⊬A96⩚⊴⇥∃⊬139F)","cot":[{"info":"∃⊬444⋳⪒∃⊬82E=∃⊬-C5","layer":1},{"info":"∃⊬A96⩚⊴⇥∃⊬139F=∃⊬-1EAE","layer":1},{"info":"∃⊬-C5∀⇚≩∃⊬-1EAE=NaN","layer":0}]}
+{"id":290,"expression_no_base_symbol":"(≉$5768$)↺$1912$⋳⪒$1756$","expression":"(≉∃⊬1688)↺∃⊬778⋳⪒∃⊬6DC","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":5768,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1912,"base":16},"right_expr":{"type":"numeric_atoms","value":1756,"base":16}}},"used_operators":["7j4O788W3g","e1ybzncUwg","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬6F5","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5768","layer":2},{"info":"compute unary expreesion, input=5768, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6299","layer":1},{"info":"number node, value=1912","layer":2},{"info":"number node, value=1756","layer":2},{"info":"compute binary expreesion, left_input=1912, right_input=1756, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1781","layer":1},{"info":"compute binary expreesion, left_input=6299, right_input=1781, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1781","layer":0}],"base":16,"result_base":16,"text":"(≉∃⊬1688)↺∃⊬778⋳⪒∃⊬6DC=∃⊬6F5","reverse_text":"∃⊬6F5=(≉∃⊬1688)↺∃⊬778⋳⪒∃⊬6DC","cot":[{"info":"≉∃⊬1688=∃⊬189B","layer":1},{"info":"∃⊬778⋳⪒∃⊬6DC=∃⊬6F5","layer":1},{"info":"∃⊬189B↺∃⊬6F5=∃⊬6F5","layer":0}]}
+{"id":291,"expression_no_base_symbol":"($2668$%$5131$)≧⫂∧($6465$+$2554$)","expression":"(∃⊬A6C%∃⊬140B)≧⫂∧(∃⊬1941+∃⊬9FA)","highest_n_order":2,"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":2668,"base":16},"right_expr":{"type":"numeric_atoms","value":5131,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6465,"base":16},"right_expr":{"type":"numeric_atoms","value":2554,"base":16}}},"used_operators":["Ph9nP6C5qx","k8jYdgA6NY","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬2162","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2668","layer":2},{"info":"number node, value=5131","layer":2},{"info":"compute binary expreesion, left_input=2668, right_input=5131, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2668","layer":1},{"info":"number node, value=6465","layer":2},{"info":"number node, value=2554","layer":2},{"info":"compute binary expreesion, left_input=6465, right_input=2554, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9019","layer":1},{"info":"compute binary expreesion, left_input=2668, right_input=9019, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8546","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A6C%∃⊬140B)≧⫂∧(∃⊬1941+∃⊬9FA)=∃⊬2162","reverse_text":"∃⊬2162=(∃⊬A6C%∃⊬140B)≧⫂∧(∃⊬1941+∃⊬9FA)","cot":[{"info":"∃⊬A6C%∃⊬140B=∃⊬A6C","layer":1},{"info":"∃⊬1941+∃⊬9FA=∃⊬233B","layer":1},{"info":"∃⊬A6C≧⫂∧∃⊬233B=∃⊬2162","layer":0}]}
+{"id":292,"expression_no_base_symbol":"$2969$⪮%⊝$2556$⨪↰⇹($1857$⊉≛↸$2750$)","expression":"∃⊬B99⪮%⊝∃⊬9FC⨪↰⇹(∃⊬741⊉≛↸∃⊬ABE)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6265,"operation_count":3,"complexity_ratio":2088.3333333333335,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2969,"base":16},"right_expr":{"type":"numeric_atoms","value":2556,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1857,"base":16},"right_expr":{"type":"numeric_atoms","value":2750,"base":16}}},"used_operators":["tmPS8pqC7x","IWmyXbctLI","DZ8iAZOCBD"],"dependent_operators":["rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬186E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2969","layer":2},{"info":"number node, value=2556","layer":2},{"info":"compute binary expreesion, left_input=2969, right_input=2556, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6254","layer":1},{"info":"number node, value=1857","layer":2},{"info":"number node, value=2750","layer":2},{"info":"compute binary expreesion, left_input=1857, right_input=2750, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3714","layer":1},{"info":"compute binary expreesion, left_input=6254, right_input=3714, 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=6254","layer":0}],"base":16,"result_base":16,"text":"∃⊬B99⪮%⊝∃⊬9FC⨪↰⇹(∃⊬741⊉≛↸∃⊬ABE)=∃⊬186E","reverse_text":"∃⊬186E=∃⊬B99⪮%⊝∃⊬9FC⨪↰⇹(∃⊬741⊉≛↸∃⊬ABE)","cot":[{"info":"∃⊬B99⪮%⊝∃⊬9FC=∃⊬186E","layer":1},{"info":"∃⊬741⊉≛↸∃⊬ABE=∃⊬E82","layer":1},{"info":"∃⊬186E⨪↰⇹∃⊬E82=∃⊬186E","layer":0}]}
+{"id":293,"expression_no_base_symbol":"$1110$⨟⋌⩍$5961$/$1257$⪮%⊝$3726$","expression":"∃⊬456⨟⋌⩍∃⊬1749/∃⊬4E9⪮%⊝∃⊬E8E","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":1110,"base":16},"right_expr":{"type":"numeric_atoms","value":5961,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1257,"base":16},"right_expr":{"type":"numeric_atoms","value":3726,"base":16}}},"used_operators":["XhwjNDsVaA","rGHVDoGpnC","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1110","layer":2},{"info":"number node, value=5961","layer":2},{"info":"compute binary expreesion, left_input=1110, right_input=5961, 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=1257","layer":2},{"info":"number node, value=3726","layer":2},{"info":"compute binary expreesion, left_input=1257, right_input=3726, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2830","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2830, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬456⨟⋌⩍∃⊬1749/∃⊬4E9⪮%⊝∃⊬E8E=NaN","reverse_text":"NaN=∃⊬456⨟⋌⩍∃⊬1749/∃⊬4E9⪮%⊝∃⊬E8E","cot":[{"info":"∃⊬456⨟⋌⩍∃⊬1749=NaN","layer":1},{"info":"∃⊬4E9⪮%⊝∃⊬E8E=∃⊬B0E","layer":1},{"info":"NaN/∃⊬B0E=NaN","layer":0}]}
+{"id":294,"expression_no_base_symbol":"↣≠⋷($2534$≭$1708$)","expression":"↣≠⋷(∃⊬9E6≭∃⊬6AC)","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":2534,"base":16},"right_expr":{"type":"numeric_atoms","value":1708,"base":16}}},"used_operators":["Asc51vEJeQ","rxpJgHHUmx"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2534","layer":2},{"info":"number node, value=1708","layer":2},{"info":"compute binary expreesion, left_input=2534, right_input=1708, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷(∃⊬9E6≭∃⊬6AC)=NaN","reverse_text":"NaN=↣≠⋷(∃⊬9E6≭∃⊬6AC)","cot":[{"info":"∃⊬9E6≭∃⊬6AC=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
+{"id":295,"expression_no_base_symbol":"↽≂($5825$⨸⪁$2437$)","expression":"↽≂(∃⊬16C1⨸⪁∃⊬985)","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":5825,"base":16},"right_expr":{"type":"numeric_atoms","value":2437,"base":16}}},"used_operators":["u6S6b8DprG","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-8118","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5825","layer":2},{"info":"number node, value=2437","layer":2},{"info":"compute binary expreesion, left_input=5825, right_input=2437, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16524","layer":1},{"info":"compute unary expreesion, input=16524, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-33048","layer":0}],"base":16,"result_base":16,"text":"↽≂(∃⊬16C1⨸⪁∃⊬985)=∃⊬-8118","reverse_text":"∃⊬-8118=↽≂(∃⊬16C1⨸⪁∃⊬985)","cot":[{"info":"∃⊬16C1⨸⪁∃⊬985=∃⊬408C","layer":1},{"info":"↽≂∃⊬408C=∃⊬-8118","layer":0}]}
+{"id":296,"expression_no_base_symbol":"$2862$≹⇙⪍$1358$⪮%⊝($4013$⨪↰⇹$1215$)","expression":"∃⊬B2E≹⇙⪍∃⊬54E⪮%⊝(∃⊬FAD⨪↰⇹∃⊬4BF)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4023,"operation_count":3,"complexity_ratio":1341.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2862,"base":16},"right_expr":{"type":"numeric_atoms","value":1358,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4013,"base":16},"right_expr":{"type":"numeric_atoms","value":1215,"base":16}}},"used_operators":["IWmyXbctLI","AHs5Up7iyr","tmPS8pqC7x"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2862","layer":2},{"info":"number node, value=1358","layer":2},{"info":"compute binary expreesion, left_input=2862, right_input=1358, 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=4013","layer":2},{"info":"number node, value=1215","layer":2},{"info":"compute binary expreesion, left_input=4013, right_input=1215, 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=4013","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4013, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬B2E≹⇙⪍∃⊬54E⪮%⊝(∃⊬FAD⨪↰⇹∃⊬4BF)=NaN","reverse_text":"NaN=∃⊬B2E≹⇙⪍∃⊬54E⪮%⊝(∃⊬FAD⨪↰⇹∃⊬4BF)","cot":[{"info":"∃⊬B2E≹⇙⪍∃⊬54E=NaN","layer":1},{"info":"∃⊬FAD⨪↰⇹∃⊬4BF=∃⊬FAD","layer":1},{"info":"NaN⪮%⊝∃⊬FAD=NaN","layer":0}]}
+{"id":297,"expression_no_base_symbol":"$1098$⨵⪆$1274$⫡⨏$3028$↺$4167$","expression":"∃⊬44A⨵⪆∃⊬4FA⫡⨏∃⊬BD4↺∃⊬1047","highest_n_order":1,"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":1098,"base":16},"right_expr":{"type":"numeric_atoms","value":1274,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3028,"base":16},"right_expr":{"type":"numeric_atoms","value":4167,"base":16}}},"used_operators":["QMFrweE19q","2DQ55sFlQl","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬26BD","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1098","layer":2},{"info":"number node, value=1274","layer":2},{"info":"compute binary expreesion, left_input=1098, right_input=1274, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3028","layer":2},{"info":"number node, value=4167","layer":2},{"info":"compute binary expreesion, left_input=3028, right_input=4167, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4167","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=4167, 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=9917","layer":0}],"base":16,"result_base":16,"text":"∃⊬44A⨵⪆∃⊬4FA⫡⨏∃⊬BD4↺∃⊬1047=∃⊬26BD","reverse_text":"∃⊬26BD=∃⊬44A⨵⪆∃⊬4FA⫡⨏∃⊬BD4↺∃⊬1047","cot":[{"info":"∃⊬44A⨵⪆∃⊬4FA=∃⊬A0","layer":1},{"info":"∃⊬BD4↺∃⊬1047=∃⊬1047","layer":1},{"info":"∃⊬A0⫡⨏∃⊬1047=∃⊬26BD","layer":0}]}
+{"id":298,"expression_no_base_symbol":"$1012$⊉≛↸$4811$⫡⨏$1690$⨐⩸⫘$1110$","expression":"∃⊬3F4⊉≛↸∃⊬12CB⫡⨏∃⊬69A⨐⩸⫘∃⊬456","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":1012,"base":16},"right_expr":{"type":"numeric_atoms","value":4811,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1690,"base":16},"right_expr":{"type":"numeric_atoms","value":1110,"base":16}}},"used_operators":["QMFrweE19q","DZ8iAZOCBD","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1012","layer":2},{"info":"number node, value=4811","layer":2},{"info":"compute binary expreesion, left_input=1012, right_input=4811, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2024","layer":1},{"info":"number node, value=1690","layer":2},{"info":"number node, value=1110","layer":2},{"info":"compute binary expreesion, left_input=1690, right_input=1110, 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=2024, 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":16,"result_base":16,"text":"∃⊬3F4⊉≛↸∃⊬12CB⫡⨏∃⊬69A⨐⩸⫘∃⊬456=NaN","reverse_text":"NaN=∃⊬3F4⊉≛↸∃⊬12CB⫡⨏∃⊬69A⨐⩸⫘∃⊬456","cot":[{"info":"∃⊬3F4⊉≛↸∃⊬12CB=∃⊬7E8","layer":1},{"info":"∃⊬69A⨐⩸⫘∃⊬456=NaN","layer":1},{"info":"∃⊬7E8⫡⨏NaN=NaN","layer":0}]}
+{"id":299,"expression_no_base_symbol":"($2254$↙$2698$)≫≃","expression":"(∃⊬8CE↙∃⊬A8A)≫≃","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2708,"operation_count":2,"complexity_ratio":1354.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2254,"base":16},"right_expr":{"type":"numeric_atoms","value":2698,"base":16}}},"used_operators":["X99M06cbEe","yyfyN0ffXY"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬-39C3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2254","layer":2},{"info":"number node, value=2698","layer":2},{"info":"compute binary expreesion, left_input=2254, right_input=2698, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8094","layer":1},{"info":"compute unary expreesion, input=-8094, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-14787","layer":0}],"base":16,"result_base":16,"text":"(∃⊬8CE↙∃⊬A8A)≫≃=∃⊬-39C3","reverse_text":"∃⊬-39C3=(∃⊬8CE↙∃⊬A8A)≫≃","cot":[{"info":"∃⊬8CE↙∃⊬A8A=∃⊬-1F9E","layer":1},{"info":"∃⊬-1F9E≫≃=∃⊬-39C3","layer":0}]}
+{"id":300,"expression_no_base_symbol":"$7769$≹⇙⪍$7297$⨪↰⇹($4155$⩷∴$5303$)","expression":"∃⊬1E59≹⇙⪍∃⊬1C81⨪↰⇹(∃⊬103B⩷∴∃⊬14B7)","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":7769,"base":16},"right_expr":{"type":"numeric_atoms","value":7297,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4155,"base":16},"right_expr":{"type":"numeric_atoms","value":5303,"base":16}}},"used_operators":["tmPS8pqC7x","AHs5Up7iyr","9FxExcQeMw"],"dependent_operators":["rJVOvQCfKK","dWAJyo7jo9","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7769","layer":2},{"info":"number node, value=7297","layer":2},{"info":"compute binary expreesion, left_input=7769, right_input=7297, 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=4155","layer":2},{"info":"number node, value=5303","layer":2},{"info":"compute binary expreesion, left_input=4155, right_input=5303, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2328","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2328, 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":16,"result_base":16,"text":"∃⊬1E59≹⇙⪍∃⊬1C81⨪↰⇹(∃⊬103B⩷∴∃⊬14B7)=NaN","reverse_text":"NaN=∃⊬1E59≹⇙⪍∃⊬1C81⨪↰⇹(∃⊬103B⩷∴∃⊬14B7)","cot":[{"info":"∃⊬1E59≹⇙⪍∃⊬1C81=NaN","layer":1},{"info":"∃⊬103B⩷∴∃⊬14B7=∃⊬-918","layer":1},{"info":"NaN⨪↰⇹∃⊬-918=NaN","layer":0}]}
+{"id":301,"expression_no_base_symbol":"($8691$⫩⊇)≧⫂∧($1608$*$4296$)","expression":"(∃⊬21F3⫩⊇)≧⫂∧(∃⊬648*∃⊬10C8)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1611,"operation_count":3,"complexity_ratio":537.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":8691,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1608,"base":16},"right_expr":{"type":"numeric_atoms","value":4296,"base":16}}},"used_operators":["Ph9nP6C5qx","BjRHVeLaeN","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬696667","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8691","layer":2},{"info":"compute unary expreesion, input=8691, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8649","layer":1},{"info":"number node, value=1608","layer":2},{"info":"number node, value=4296","layer":2},{"info":"compute binary expreesion, left_input=1608, right_input=4296, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6907968","layer":1},{"info":"compute binary expreesion, left_input=-8649, right_input=6907968, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6907495","layer":0}],"base":16,"result_base":16,"text":"(∃⊬21F3⫩⊇)≧⫂∧(∃⊬648*∃⊬10C8)=∃⊬696667","reverse_text":"∃⊬696667=(∃⊬21F3⫩⊇)≧⫂∧(∃⊬648*∃⊬10C8)","cot":[{"info":"∃⊬21F3⫩⊇=∃⊬-21C9","layer":1},{"info":"∃⊬648*∃⊬10C8=∃⊬696840","layer":1},{"info":"∃⊬-21C9≧⫂∧∃⊬696840=∃⊬696667","layer":0}]}
+{"id":302,"expression_no_base_symbol":"($5702$⇋≉)⪘⫢($1966$⨎$4597$)","expression":"(∃⊬1646⇋≉)⪘⫢(∃⊬7AE⨎∃⊬11F5)","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":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5702,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1966,"base":16},"right_expr":{"type":"numeric_atoms","value":4597,"base":16}}},"used_operators":["oacrs7FA3X","XIabStNQrY","rJVOvQCfKK"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬57D8","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5702","layer":2},{"info":"compute unary expreesion, input=5702, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=11306","layer":1},{"info":"number node, value=1966","layer":2},{"info":"number node, value=4597","layer":2},{"info":"compute binary expreesion, left_input=1966, right_input=4597, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4597","layer":1},{"info":"compute binary expreesion, left_input=11306, right_input=4597, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=22488","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1646⇋≉)⪘⫢(∃⊬7AE⨎∃⊬11F5)=∃⊬57D8","reverse_text":"∃⊬57D8=(∃⊬1646⇋≉)⪘⫢(∃⊬7AE⨎∃⊬11F5)","cot":[{"info":"∃⊬1646⇋≉=∃⊬2C2A","layer":1},{"info":"∃⊬7AE⨎∃⊬11F5=∃⊬11F5","layer":1},{"info":"∃⊬2C2A⪘⫢∃⊬11F5=∃⊬57D8","layer":0}]}
+{"id":303,"expression_no_base_symbol":"≉$6664$≎⊠⪸$9645$","expression":"≉∃⊬1A08≎⊠⪸∃⊬25AD","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":272,"operation_count":2,"complexity_ratio":136.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6664,"base":16},"right_expr":{"type":"numeric_atoms","value":9645,"base":16}}},"used_operators":["e1ybzncUwg","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬1A5652","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6664","layer":2},{"info":"number node, value=9645","layer":2},{"info":"compute binary expreesion, left_input=6664, right_input=9645, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1725503","layer":1},{"info":"compute unary expreesion, input=1725503, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1726034","layer":0}],"base":16,"result_base":16,"text":"≉∃⊬1A08≎⊠⪸∃⊬25AD=∃⊬1A5652","reverse_text":"∃⊬1A5652=≉∃⊬1A08≎⊠⪸∃⊬25AD","cot":[{"info":"∃⊬1A08≎⊠⪸∃⊬25AD=∃⊬1A543F","layer":1},{"info":"≉∃⊬1A543F=∃⊬1A5652","layer":0}]}
+{"id":304,"expression_no_base_symbol":"$1023$≎⊠⪸$1211$↙($1020$⩨$6286$)","expression":"∃⊬3FF≎⊠⪸∃⊬4BB↙(∃⊬3FC⩨∃⊬188E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":300,"operation_count":3,"complexity_ratio":100.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1023,"base":16},"right_expr":{"type":"numeric_atoms","value":1211,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1020,"base":16},"right_expr":{"type":"numeric_atoms","value":6286,"base":16}}},"used_operators":["yyfyN0ffXY","bJkvcejdHO","2DlMacCsIx"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬36","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1023","layer":2},{"info":"number node, value=1211","layer":2},{"info":"compute binary expreesion, left_input=1023, right_input=1211, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=264484","layer":1},{"info":"number node, value=1020","layer":2},{"info":"number node, value=6286","layer":2},{"info":"compute binary expreesion, left_input=1020, right_input=6286, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-18","layer":1},{"info":"compute binary expreesion, left_input=264484, right_input=-18, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=54","layer":0}],"base":16,"result_base":16,"text":"∃⊬3FF≎⊠⪸∃⊬4BB↙(∃⊬3FC⩨∃⊬188E)=∃⊬36","reverse_text":"∃⊬36=∃⊬3FF≎⊠⪸∃⊬4BB↙(∃⊬3FC⩨∃⊬188E)","cot":[{"info":"∃⊬3FF≎⊠⪸∃⊬4BB=∃⊬40924","layer":1},{"info":"∃⊬3FC⩨∃⊬188E=∃⊬-12","layer":1},{"info":"∃⊬40924↙∃⊬-12=∃⊬36","layer":0}]}
+{"id":305,"expression_no_base_symbol":"⨈⫕$2866$⨰$2416$","expression":"⨈⫕∃⊬B32⨰∃⊬970","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":2866,"base":16},"right_expr":{"type":"numeric_atoms","value":2416,"base":16}}},"used_operators":["megm06wKyl","eewbuw0ToL"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2866","layer":2},{"info":"number node, value=2416","layer":2},{"info":"compute binary expreesion, left_input=2866, right_input=2416, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=460","layer":1},{"info":"compute unary expreesion, input=460, 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":16,"result_base":16,"text":"⨈⫕∃⊬B32⨰∃⊬970=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕∃⊬B32⨰∃⊬970","cot":[{"info":"∃⊬B32⨰∃⊬970=∃⊬1CC","layer":1},{"info":"⨈⫕∃⊬1CC=∃⊬-15","layer":0}]}
+{"id":306,"expression_no_base_symbol":"($1889$⫥∨⫟$3672$)⨓$3286$⪮%⊝$3511$","expression":"(∃⊬761⫥∨⫟∃⊬E58)⨓∃⊬CD6⪮%⊝∃⊬DB7","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7057,"operation_count":3,"complexity_ratio":2352.3333333333335,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1889,"base":16},"right_expr":{"type":"numeric_atoms","value":3672,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3286,"base":16},"right_expr":{"type":"numeric_atoms","value":3511,"base":16}}},"used_operators":["3ViojmjbAp","KYD54nUTWz","IWmyXbctLI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬-1AEB","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1889","layer":2},{"info":"number node, value=3672","layer":2},{"info":"compute binary expreesion, left_input=1889, right_input=3672, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3286","layer":2},{"info":"number node, value=3511","layer":2},{"info":"compute binary expreesion, left_input=3286, right_input=3511, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6888","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6888, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6891","layer":0}],"base":16,"result_base":16,"text":"(∃⊬761⫥∨⫟∃⊬E58)⨓∃⊬CD6⪮%⊝∃⊬DB7=∃⊬-1AEB","reverse_text":"∃⊬-1AEB=(∃⊬761⫥∨⫟∃⊬E58)⨓∃⊬CD6⪮%⊝∃⊬DB7","cot":[{"info":"∃⊬761⫥∨⫟∃⊬E58=NaN","layer":1},{"info":"∃⊬CD6⪮%⊝∃⊬DB7=∃⊬1AE8","layer":1},{"info":"NaN⨓∃⊬1AE8=∃⊬-1AEB","layer":0}]}
+{"id":307,"expression_no_base_symbol":"($3412$⪒$1356$)↬($7572$⩚⊴⇥$4486$)","expression":"(∃⊬D54⪒∃⊬54C)↬(∃⊬1D94⩚⊴⇥∃⊬1186)","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":3412,"base":16},"right_expr":{"type":"numeric_atoms","value":1356,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7572,"base":16},"right_expr":{"type":"numeric_atoms","value":4486,"base":16}}},"used_operators":["B5M0gjZbta","f6k1SAg4EE","NTOWxs364D"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3412","layer":2},{"info":"number node, value=1356","layer":2},{"info":"compute binary expreesion, left_input=3412, right_input=1356, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4768","layer":1},{"info":"number node, value=7572","layer":2},{"info":"number node, value=4486","layer":2},{"info":"compute binary expreesion, left_input=7572, right_input=4486, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12179","layer":1},{"info":"compute binary expreesion, left_input=-4768, right_input=-12179, 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":16,"result_base":16,"text":"(∃⊬D54⪒∃⊬54C)↬(∃⊬1D94⩚⊴⇥∃⊬1186)=NaN","reverse_text":"NaN=(∃⊬D54⪒∃⊬54C)↬(∃⊬1D94⩚⊴⇥∃⊬1186)","cot":[{"info":"∃⊬D54⪒∃⊬54C=∃⊬-12A0","layer":1},{"info":"∃⊬1D94⩚⊴⇥∃⊬1186=∃⊬-2F93","layer":1},{"info":"∃⊬-12A0↬∃⊬-2F93=NaN","layer":0}]}
+{"id":308,"expression_no_base_symbol":"(≤/$1741$)⩨(⨑⩽⪐$6171$)","expression":"(≤/∃⊬6CD)⩨(⨑⩽⪐∃⊬181B)","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":1741,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6171,"base":16}}},"used_operators":["2DlMacCsIx","eLAdDNolq6","AF7qkfDlqP"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":2},{"info":"compute unary expreesion, input=1741, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1257","layer":1},{"info":"number node, value=6171","layer":2},{"info":"compute unary expreesion, input=6171, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5898","layer":1},{"info":"compute binary expreesion, left_input=-1257, right_input=-5898, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬6CD)⩨(⨑⩽⪐∃⊬181B)=∃⊬-C","reverse_text":"∃⊬-C=(≤/∃⊬6CD)⩨(⨑⩽⪐∃⊬181B)","cot":[{"info":"≤/∃⊬6CD=∃⊬-4E9","layer":1},{"info":"⨑⩽⪐∃⊬181B=∃⊬-170A","layer":1},{"info":"∃⊬-4E9⩨∃⊬-170A=∃⊬-C","layer":0}]}
+{"id":309,"expression_no_base_symbol":"$4555$∲⫓$1531$/$2842$↺$2982$","expression":"∃⊬11CB∲⫓∃⊬5FB/∃⊬B1A↺∃⊬BA6","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":4555,"base":16},"right_expr":{"type":"numeric_atoms","value":1531,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2842,"base":16},"right_expr":{"type":"numeric_atoms","value":2982,"base":16}}},"used_operators":["XhwjNDsVaA","i8ToyICDmI","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4555","layer":2},{"info":"number node, value=1531","layer":2},{"info":"compute binary expreesion, left_input=4555, right_input=1531, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2842","layer":2},{"info":"number node, value=2982","layer":2},{"info":"compute binary expreesion, left_input=2842, right_input=2982, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2982","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2982, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬11CB∲⫓∃⊬5FB/∃⊬B1A↺∃⊬BA6=∃⊬0","reverse_text":"∃⊬0=∃⊬11CB∲⫓∃⊬5FB/∃⊬B1A↺∃⊬BA6","cot":[{"info":"∃⊬11CB∲⫓∃⊬5FB=∃⊬0","layer":1},{"info":"∃⊬B1A↺∃⊬BA6=∃⊬BA6","layer":1},{"info":"∃⊬0/∃⊬BA6=∃⊬0","layer":0}]}
+{"id":310,"expression_no_base_symbol":"($1932$⋷$1209$)⨎($2906$≫≃)","expression":"(∃⊬78C⋷∃⊬4B9)⨎(∃⊬B5A≫≃)","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":1932,"base":16},"right_expr":{"type":"numeric_atoms","value":1209,"base":16}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2906,"base":16}}},"used_operators":["rJVOvQCfKK","23Mk6UjR3U","X99M06cbEe"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"∃⊬1C2D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":2},{"info":"number node, value=1209","layer":2},{"info":"compute binary expreesion, left_input=1932, right_input=1209, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=486","layer":1},{"info":"number node, value=2906","layer":2},{"info":"compute unary expreesion, input=2906, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7213","layer":1},{"info":"compute binary expreesion, left_input=486, right_input=7213, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7213","layer":0}],"base":16,"result_base":16,"text":"(∃⊬78C⋷∃⊬4B9)⨎(∃⊬B5A≫≃)=∃⊬1C2D","reverse_text":"∃⊬1C2D=(∃⊬78C⋷∃⊬4B9)⨎(∃⊬B5A≫≃)","cot":[{"info":"∃⊬78C⋷∃⊬4B9=∃⊬1E6","layer":1},{"info":"∃⊬B5A≫≃=∃⊬1C2D","layer":1},{"info":"∃⊬1E6⨎∃⊬1C2D=∃⊬1C2D","layer":0}]}
+{"id":311,"expression_no_base_symbol":"$3688$⫸⊐$9259$⫡⨏$3325$⨪↰⇹$2348$","expression":"∃⊬E68⫸⊐∃⊬242B⫡⨏∃⊬CFD⨪↰⇹∃⊬92C","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":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3688,"base":16},"right_expr":{"type":"numeric_atoms","value":9259,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3325,"base":16},"right_expr":{"type":"numeric_atoms","value":2348,"base":16}}},"used_operators":["QMFrweE19q","mqXw5SEYmG","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK"],"result":"∃⊬2EDF4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3688","layer":2},{"info":"number node, value=9259","layer":2},{"info":"compute binary expreesion, left_input=3688, right_input=9259, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=36911","layer":1},{"info":"number node, value=3325","layer":2},{"info":"number node, value=2348","layer":2},{"info":"compute binary expreesion, left_input=3325, right_input=2348, 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=3325","layer":1},{"info":"compute binary expreesion, left_input=36911, right_input=3325, 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=191988","layer":0}],"base":16,"result_base":16,"text":"∃⊬E68⫸⊐∃⊬242B⫡⨏∃⊬CFD⨪↰⇹∃⊬92C=∃⊬2EDF4","reverse_text":"∃⊬2EDF4=∃⊬E68⫸⊐∃⊬242B⫡⨏∃⊬CFD⨪↰⇹∃⊬92C","cot":[{"info":"∃⊬E68⫸⊐∃⊬242B=∃⊬902F","layer":1},{"info":"∃⊬CFD⨪↰⇹∃⊬92C=∃⊬CFD","layer":1},{"info":"∃⊬902F⫡⨏∃⊬CFD=∃⊬2EDF4","layer":0}]}
+{"id":312,"expression_no_base_symbol":"($1245$⨽$1117$)⇷($3595$⨽$2282$)","expression":"(∃⊬4DD⨽∃⊬45D)⇷(∃⊬E0B⨽∃⊬8EA)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4867,"operation_count":3,"complexity_ratio":1622.3333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1245,"base":16},"right_expr":{"type":"numeric_atoms","value":1117,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3595,"base":16},"right_expr":{"type":"numeric_atoms","value":2282,"base":16}}},"used_operators":["mp7IySMOzn","8HhzD0ZcuI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1245","layer":2},{"info":"number node, value=1117","layer":2},{"info":"compute binary expreesion, left_input=1245, right_input=1117, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4652112","layer":1},{"info":"number node, value=3595","layer":2},{"info":"number node, value=2282","layer":2},{"info":"compute binary expreesion, left_input=3595, right_input=2282, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-38777607","layer":1},{"info":"compute binary expreesion, left_input=-4652112, right_input=-38777607, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4DD⨽∃⊬45D)⇷(∃⊬E0B⨽∃⊬8EA)=NaN","reverse_text":"NaN=(∃⊬4DD⨽∃⊬45D)⇷(∃⊬E0B⨽∃⊬8EA)","cot":[{"info":"∃⊬4DD⨽∃⊬45D=∃⊬-46FC50","layer":1},{"info":"∃⊬E0B⨽∃⊬8EA=∃⊬-24FB307","layer":1},{"info":"∃⊬-46FC50⇷∃⊬-24FB307=NaN","layer":0}]}
+{"id":313,"expression_no_base_symbol":"($3292$⊠≄⫣)⋳⪒($2159$⇼⇔∾$9076$)","expression":"(∃⊬CDC⊠≄⫣)⋳⪒(∃⊬86F⇼⇔∾∃⊬2374)","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":3292,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2159,"base":16},"right_expr":{"type":"numeric_atoms","value":9076,"base":16}}},"used_operators":["12rbrZMWeM","DIvbN7qnHd","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-1C24","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3292","layer":2},{"info":"compute unary expreesion, input=3292, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2159","layer":2},{"info":"number node, value=9076","layer":2},{"info":"compute binary expreesion, left_input=2159, right_input=9076, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6917","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6917, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-7204","layer":0}],"base":16,"result_base":16,"text":"(∃⊬CDC⊠≄⫣)⋳⪒(∃⊬86F⇼⇔∾∃⊬2374)=∃⊬-1C24","reverse_text":"∃⊬-1C24=(∃⊬CDC⊠≄⫣)⋳⪒(∃⊬86F⇼⇔∾∃⊬2374)","cot":[{"info":"∃⊬CDC⊠≄⫣=∃⊬0","layer":1},{"info":"∃⊬86F⇼⇔∾∃⊬2374=∃⊬1B05","layer":1},{"info":"∃⊬0⋳⪒∃⊬1B05=∃⊬-1C24","layer":0}]}
+{"id":314,"expression_no_base_symbol":"$4546$≎⊠⪸$5719$⪒($3088$↪⪝)","expression":"∃⊬11C2≎⊠⪸∃⊬1657⪒(∃⊬C10↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":973,"operation_count":3,"complexity_ratio":324.3333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4546,"base":16},"right_expr":{"type":"numeric_atoms","value":5719,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3088,"base":16}}},"used_operators":["f6k1SAg4EE","bJkvcejdHO","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","2DDjHMKMc0"],"result":"∃⊬-B54CD4D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4546","layer":2},{"info":"number node, value=5719","layer":2},{"info":"compute binary expreesion, left_input=4546, right_input=5719, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1176941","layer":1},{"info":"number node, value=3088","layer":2},{"info":"compute unary expreesion, input=3088, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=188930016","layer":1},{"info":"compute binary expreesion, left_input=1176941, right_input=188930016, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-190106957","layer":0}],"base":16,"result_base":16,"text":"∃⊬11C2≎⊠⪸∃⊬1657⪒(∃⊬C10↪⪝)=∃⊬-B54CD4D","reverse_text":"∃⊬-B54CD4D=∃⊬11C2≎⊠⪸∃⊬1657⪒(∃⊬C10↪⪝)","cot":[{"info":"∃⊬11C2≎⊠⪸∃⊬1657=∃⊬11F56D","layer":1},{"info":"∃⊬C10↪⪝=∃⊬B42D7E0","layer":1},{"info":"∃⊬11F56D⪒∃⊬B42D7E0=∃⊬-B54CD4D","layer":0}]}
+{"id":315,"expression_no_base_symbol":"(-$1039$)/$3250$↺$1698$","expression":"(-∃⊬40F)/∃⊬CB2↺∃⊬6A2","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":1039,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3250,"base":16},"right_expr":{"type":"numeric_atoms","value":1698,"base":16}}},"used_operators":["XhwjNDsVaA","t8gj7n24qd","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":2},{"info":"compute unary expreesion, input=1039, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1039","layer":1},{"info":"number node, value=3250","layer":2},{"info":"number node, value=1698","layer":2},{"info":"compute binary expreesion, left_input=3250, right_input=1698, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1698","layer":1},{"info":"compute binary expreesion, left_input=-1039, right_input=1698, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬40F)/∃⊬CB2↺∃⊬6A2=∃⊬-1","reverse_text":"∃⊬-1=(-∃⊬40F)/∃⊬CB2↺∃⊬6A2","cot":[{"info":"-∃⊬40F=∃⊬-40F","layer":1},{"info":"∃⊬CB2↺∃⊬6A2=∃⊬6A2","layer":1},{"info":"∃⊬-40F/∃⊬6A2=∃⊬-1","layer":0}]}
+{"id":316,"expression_no_base_symbol":"⨞⊢($2405$⫡⨏$6178$)","expression":"⨞⊢(∃⊬965⫡⨏∃⊬1822)","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":2405,"base":16},"right_expr":{"type":"numeric_atoms","value":6178,"base":16}}},"used_operators":["xUOZtlo3hN","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-62FA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2405","layer":2},{"info":"number node, value=6178","layer":2},{"info":"compute binary expreesion, left_input=2405, right_input=6178, 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=25164","layer":1},{"info":"compute unary expreesion, input=25164, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-25338","layer":0}],"base":16,"result_base":16,"text":"⨞⊢(∃⊬965⫡⨏∃⊬1822)=∃⊬-62FA","reverse_text":"∃⊬-62FA=⨞⊢(∃⊬965⫡⨏∃⊬1822)","cot":[{"info":"∃⊬965⫡⨏∃⊬1822=∃⊬624C","layer":1},{"info":"⨞⊢∃⊬624C=∃⊬-62FA","layer":0}]}
+{"id":317,"expression_no_base_symbol":"($3793$⪄$1995$)↙(↯⪼$8062$)","expression":"(∃⊬ED1⪄∃⊬7CB)↙(↯⪼∃⊬1F7E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":127,"operation_count":3,"complexity_ratio":42.333333333333336,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3793,"base":16},"right_expr":{"type":"numeric_atoms","value":1995,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":8062,"base":16}}},"used_operators":["yyfyN0ffXY","SUmda5xLS4","8jW3W4yZS5"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬-8A0B9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3793","layer":2},{"info":"number node, value=1995","layer":2},{"info":"compute binary expreesion, left_input=3793, right_input=1995, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-565433","layer":1},{"info":"number node, value=8062","layer":2},{"info":"compute unary expreesion, input=8062, 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=-565433, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-565433","layer":0}],"base":16,"result_base":16,"text":"(∃⊬ED1⪄∃⊬7CB)↙(↯⪼∃⊬1F7E)=∃⊬-8A0B9","reverse_text":"∃⊬-8A0B9=(∃⊬ED1⪄∃⊬7CB)↙(↯⪼∃⊬1F7E)","cot":[{"info":"∃⊬ED1⪄∃⊬7CB=∃⊬-8A0B9","layer":1},{"info":"↯⪼∃⊬1F7E=∃⊬-15","layer":1},{"info":"∃⊬-8A0B9↙∃⊬-15=∃⊬-8A0B9","layer":0}]}
+{"id":318,"expression_no_base_symbol":"(⋗⩬⋾$1727$)↺(⊥$1954$)","expression":"(⋗⩬⋾∃⊬6BF)↺(⊥∃⊬7A2)","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":1727,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1954,"base":16}}},"used_operators":["7j4O788W3g","DpFCA1CohY","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":2},{"info":"compute unary expreesion, input=1727, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5181","layer":1},{"info":"number node, value=1954","layer":2},{"info":"compute unary expreesion, input=1954, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5181, 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":16,"result_base":16,"text":"(⋗⩬⋾∃⊬6BF)↺(⊥∃⊬7A2)=NaN","reverse_text":"NaN=(⋗⩬⋾∃⊬6BF)↺(⊥∃⊬7A2)","cot":[{"info":"⋗⩬⋾∃⊬6BF=∃⊬-143D","layer":1},{"info":"⊥∃⊬7A2=NaN","layer":1},{"info":"∃⊬-143D↺NaN=NaN","layer":0}]}
+{"id":319,"expression_no_base_symbol":"$2915$∼$4509$⪨≂$1749$⨳⩥⨓$5076$","expression":"∃⊬B63∼∃⊬119D⪨≂∃⊬6D5⨳⩥⨓∃⊬13D4","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2915,"base":16},"right_expr":{"type":"numeric_atoms","value":4509,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1749,"base":16},"right_expr":{"type":"numeric_atoms","value":5076,"base":16}}},"used_operators":["sdazOOVcIp","DyGG3AbaNP","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2915","layer":2},{"info":"number node, value=4509","layer":2},{"info":"compute binary expreesion, left_input=2915, right_input=4509, 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=1749","layer":2},{"info":"number node, value=5076","layer":2},{"info":"compute binary expreesion, left_input=1749, right_input=5076, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3327","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3327, 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":16,"result_base":16,"text":"∃⊬B63∼∃⊬119D⪨≂∃⊬6D5⨳⩥⨓∃⊬13D4=NaN","reverse_text":"NaN=∃⊬B63∼∃⊬119D⪨≂∃⊬6D5⨳⩥⨓∃⊬13D4","cot":[{"info":"∃⊬B63∼∃⊬119D=NaN","layer":1},{"info":"∃⊬6D5⨳⩥⨓∃⊬13D4=∃⊬CFF","layer":1},{"info":"NaN⪨≂∃⊬CFF=NaN","layer":0}]}
+{"id":320,"expression_no_base_symbol":"(⨑⩽⪐$1209$)-($2229$⊠≄⫣)","expression":"(⨑⩽⪐∃⊬4B9)-(∃⊬8B5⊠≄⫣)","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":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1209,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2229,"base":16}}},"used_operators":["rysDP5nf3Z","AF7qkfDlqP","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-3A8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":2},{"info":"compute unary expreesion, input=1209, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-936","layer":1},{"info":"number node, value=2229","layer":2},{"info":"compute unary expreesion, input=2229, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-936, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-936","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐∃⊬4B9)-(∃⊬8B5⊠≄⫣)=∃⊬-3A8","reverse_text":"∃⊬-3A8=(⨑⩽⪐∃⊬4B9)-(∃⊬8B5⊠≄⫣)","cot":[{"info":"⨑⩽⪐∃⊬4B9=∃⊬-3A8","layer":1},{"info":"∃⊬8B5⊠≄⫣=∃⊬0","layer":1},{"info":"∃⊬-3A8-∃⊬0=∃⊬-3A8","layer":0}]}
+{"id":321,"expression_no_base_symbol":"(⨞⊢$5789$)⋷(⨑⩽⪐$1690$)","expression":"(⨞⊢∃⊬169D)⋷(⨑⩽⪐∃⊬69A)","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":5789,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1690,"base":16}}},"used_operators":["23Mk6UjR3U","xUOZtlo3hN","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬2E96","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5789","layer":2},{"info":"compute unary expreesion, input=5789, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5963","layer":1},{"info":"number node, value=1690","layer":2},{"info":"compute unary expreesion, input=1690, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1417","layer":1},{"info":"compute binary expreesion, left_input=-5963, right_input=-1417, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11926","layer":0}],"base":16,"result_base":16,"text":"(⨞⊢∃⊬169D)⋷(⨑⩽⪐∃⊬69A)=∃⊬2E96","reverse_text":"∃⊬2E96=(⨞⊢∃⊬169D)⋷(⨑⩽⪐∃⊬69A)","cot":[{"info":"⨞⊢∃⊬169D=∃⊬-174B","layer":1},{"info":"⨑⩽⪐∃⊬69A=∃⊬-589","layer":1},{"info":"∃⊬-174B⋷∃⊬-589=∃⊬2E96","layer":0}]}
+{"id":322,"expression_no_base_symbol":"(⫛⫱⨽$2580$)⪒$5082$⊴$2506$","expression":"(⫛⫱⨽∃⊬A14)⪒∃⊬13DA⊴∃⊬9CA","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4129,"operation_count":3,"complexity_ratio":1376.3333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2580,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5082,"base":16},"right_expr":{"type":"numeric_atoms","value":2506,"base":16}}},"used_operators":["f6k1SAg4EE","DlLNRPXxWL","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2580","layer":2},{"info":"compute unary expreesion, input=2580, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=5082","layer":2},{"info":"number node, value=2506","layer":2},{"info":"compute binary expreesion, left_input=5082, right_input=2506, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⫛⫱⨽∃⊬A14)⪒∃⊬13DA⊴∃⊬9CA=NaN","reverse_text":"NaN=(⫛⫱⨽∃⊬A14)⪒∃⊬13DA⊴∃⊬9CA","cot":[{"info":"⫛⫱⨽∃⊬A14=∃⊬0","layer":1},{"info":"∃⊬13DA⊴∃⊬9CA=NaN","layer":1},{"info":"∃⊬0⪒NaN=NaN","layer":0}]}
+{"id":323,"expression_no_base_symbol":"$5402$⨓$1276$≎⊠⪸($1092$⋳⪒$1746$)","expression":"∃⊬151A⨓∃⊬4FC≎⊠⪸(∃⊬444⋳⪒∃⊬6D2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1560,"operation_count":3,"complexity_ratio":520.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5402,"base":16},"right_expr":{"type":"numeric_atoms","value":1276,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1092,"base":16},"right_expr":{"type":"numeric_atoms","value":1746,"base":16}}},"used_operators":["bJkvcejdHO","3ViojmjbAp","12rbrZMWeM"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬50DFD","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5402","layer":2},{"info":"number node, value=1276","layer":2},{"info":"compute binary expreesion, left_input=5402, right_input=1276, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1279","layer":1},{"info":"number node, value=1092","layer":2},{"info":"number node, value=1746","layer":2},{"info":"compute binary expreesion, left_input=1092, right_input=1746, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=151","layer":1},{"info":"compute binary expreesion, left_input=-1279, right_input=151, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=331261","layer":0}],"base":16,"result_base":16,"text":"∃⊬151A⨓∃⊬4FC≎⊠⪸(∃⊬444⋳⪒∃⊬6D2)=∃⊬50DFD","reverse_text":"∃⊬50DFD=∃⊬151A⨓∃⊬4FC≎⊠⪸(∃⊬444⋳⪒∃⊬6D2)","cot":[{"info":"∃⊬151A⨓∃⊬4FC=∃⊬-4FF","layer":1},{"info":"∃⊬444⋳⪒∃⊬6D2=∃⊬97","layer":1},{"info":"∃⊬-4FF≎⊠⪸∃⊬97=∃⊬50DFD","layer":0}]}
+{"id":324,"expression_no_base_symbol":"($1714$⊉≛↸$3262$)⩷∴($3092$⋓$4727$)","expression":"(∃⊬6B2⊉≛↸∃⊬CBE)⩷∴(∃⊬C14⋓∃⊬1277)","highest_n_order":3,"priority_hierarchical_complexity":2,"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":1714,"base":16},"right_expr":{"type":"numeric_atoms","value":3262,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3092,"base":16},"right_expr":{"type":"numeric_atoms","value":4727,"base":16}}},"used_operators":["9FxExcQeMw","DZ8iAZOCBD","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬1AA8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1714","layer":2},{"info":"number node, value=3262","layer":2},{"info":"compute binary expreesion, left_input=1714, right_input=3262, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3428","layer":1},{"info":"number node, value=3092","layer":2},{"info":"number node, value=4727","layer":2},{"info":"compute binary expreesion, left_input=3092, right_input=4727, 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=3428, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6824","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6B2⊉≛↸∃⊬CBE)⩷∴(∃⊬C14⋓∃⊬1277)=∃⊬1AA8","reverse_text":"∃⊬1AA8=(∃⊬6B2⊉≛↸∃⊬CBE)⩷∴(∃⊬C14⋓∃⊬1277)","cot":[{"info":"∃⊬6B2⊉≛↸∃⊬CBE=∃⊬D64","layer":1},{"info":"∃⊬C14⋓∃⊬1277=∃⊬0","layer":1},{"info":"∃⊬D64⩷∴∃⊬0=∃⊬1AA8","layer":0}]}
+{"id":325,"expression_no_base_symbol":"(+⊝���$1583$)⇋≉","expression":"(+⊝⨔∃⊬62F)⇋≉","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":1583,"base":16}}},"used_operators":["XIabStNQrY","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬B82","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1583","layer":2},{"info":"compute unary expreesion, input=1583, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2946","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔∃⊬62F)⇋≉=∃⊬B82","reverse_text":"∃⊬B82=(+⊝⨔∃⊬62F)⇋≉","cot":[{"info":"+⊝⨔∃⊬62F=∃⊬5F2","layer":1},{"info":"∃⊬5F2⇋≉=∃⊬B82","layer":0}]}
+{"id":326,"expression_no_base_symbol":"⋗⩬⋾$3037$⋳⪒$4215$","expression":"⋗⩬⋾∃⊬BDD⋳⪒∃⊬1077","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":3037,"base":16},"right_expr":{"type":"numeric_atoms","value":4215,"base":16}}},"used_operators":["DpFCA1CohY","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-126C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3037","layer":2},{"info":"number node, value=4215","layer":2},{"info":"compute binary expreesion, left_input=3037, right_input=4215, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1572","layer":1},{"info":"compute unary expreesion, input=1572, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4716","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾∃⊬BDD⋳⪒∃⊬1077=∃⊬-126C","reverse_text":"∃⊬-126C=⋗⩬⋾∃⊬BDD⋳⪒∃⊬1077","cot":[{"info":"∃⊬BDD⋳⪒∃⊬1077=∃⊬624","layer":1},{"info":"⋗⩬⋾∃⊬624=∃⊬-126C","layer":0}]}
+{"id":327,"expression_no_base_symbol":"$3735$⩷∴$1413$⇋≉","expression":"∃⊬E97⩷∴∃⊬585⇋≉","highest_n_order":1,"priority_hierarchical_complexity":1,"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":3735,"base":16},"right_expr":{"type":"numeric_atoms","value":1413,"base":16}}},"used_operators":["XIabStNQrY","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬23A6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3735","layer":2},{"info":"number node, value=1413","layer":2},{"info":"compute binary expreesion, left_input=3735, right_input=1413, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4612","layer":1},{"info":"compute unary expreesion, input=4612, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9126","layer":0}],"base":16,"result_base":16,"text":"∃⊬E97⩷∴∃⊬585⇋≉=∃⊬23A6","reverse_text":"∃⊬23A6=∃⊬E97⩷∴∃⊬585⇋≉","cot":[{"info":"∃⊬E97⩷∴∃⊬585=∃⊬1204","layer":1},{"info":"∃⊬1204⇋≉=∃⊬23A6","layer":0}]}
+{"id":328,"expression_no_base_symbol":"(↩$3253$)⊴(⨰⫟⨤$5400$)","expression":"(↩∃⊬CB5)⊴(⨰⫟⨤∃⊬1518)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20783,"operation_count":3,"complexity_ratio":6927.666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3253,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5400,"base":16}}},"used_operators":["Nsiff2A1zJ","jLgFTUHLKL","Tw270M8GLb"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3253","layer":2},{"info":"compute unary expreesion, input=3253, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-23244","layer":1},{"info":"number node, value=5400","layer":2},{"info":"compute unary expreesion, input=5400, 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=-23244, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↩∃⊬CB5)⊴(⨰⫟⨤∃⊬1518)=NaN","reverse_text":"NaN=(↩∃⊬CB5)⊴(⨰⫟⨤∃⊬1518)","cot":[{"info":"↩∃⊬CB5=∃⊬-5ACC","layer":1},{"info":"⨰⫟⨤∃⊬1518=NaN","layer":1},{"info":"∃⊬-5ACC⊴NaN=NaN","layer":0}]}
+{"id":329,"expression_no_base_symbol":"($7196$⊉≛↸$8290$)↺(⊄⩳↩$2662$)","expression":"(∃⊬1C1C⊉≛↸∃⊬2062)↺(⊄⩳↩∃⊬A66)","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":7196,"base":16},"right_expr":{"type":"numeric_atoms","value":8290,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2662,"base":16}}},"used_operators":["7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1F32","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7196","layer":2},{"info":"number node, value=8290","layer":2},{"info":"compute binary expreesion, left_input=7196, right_input=8290, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14392","layer":1},{"info":"number node, value=2662","layer":2},{"info":"compute unary expreesion, input=2662, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7986","layer":1},{"info":"compute binary expreesion, left_input=14392, right_input=-7986, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-7986","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1C1C⊉≛↸∃⊬2062)↺(⊄⩳↩∃⊬A66)=∃⊬-1F32","reverse_text":"∃⊬-1F32=(∃⊬1C1C⊉≛↸∃⊬2062)↺(⊄⩳↩∃⊬A66)","cot":[{"info":"∃⊬1C1C⊉≛↸∃⊬2062=∃⊬3838","layer":1},{"info":"⊄⩳↩∃⊬A66=∃⊬-1F32","layer":1},{"info":"∃⊬3838↺∃⊬-1F32=∃⊬-1F32","layer":0}]}
+{"id":330,"expression_no_base_symbol":"($1193$⩨$4387$)⪢$3964$⪮%⊝$1010$","expression":"(∃⊬4A9⩨∃⊬1123)⪢∃⊬F7C⪮%⊝∃⊬3F2","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8259,"operation_count":3,"complexity_ratio":2753.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1193,"base":16},"right_expr":{"type":"numeric_atoms","value":4387,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3964,"base":16},"right_expr":{"type":"numeric_atoms","value":1010,"base":16}}},"used_operators":["dWAJyo7jo9","2DlMacCsIx","IWmyXbctLI"],"dependent_operators":["k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1193","layer":2},{"info":"number node, value=4387","layer":2},{"info":"compute binary expreesion, left_input=1193, right_input=4387, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"number node, value=3964","layer":2},{"info":"number node, value=1010","layer":2},{"info":"compute binary expreesion, left_input=3964, right_input=1010, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8244","layer":1},{"info":"compute binary expreesion, left_input=-9, right_input=8244, 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":16,"result_base":16,"text":"(∃⊬4A9⩨∃⊬1123)⪢∃⊬F7C⪮%⊝∃⊬3F2=NaN","reverse_text":"NaN=(∃⊬4A9⩨∃⊬1123)⪢∃⊬F7C⪮%⊝∃⊬3F2","cot":[{"info":"∃⊬4A9⩨∃⊬1123=∃⊬-9","layer":1},{"info":"∃⊬F7C⪮%⊝∃⊬3F2=∃⊬2034","layer":1},{"info":"∃⊬-9⪢∃⊬2034=NaN","layer":0}]}
+{"id":331,"expression_no_base_symbol":"($1070$∲⫓$3962$)⨪↰⇹($1918$⊭↱$3235$)","expression":"(∃⊬42E∲⫓∃⊬F7A)⨪↰⇹(∃⊬77E⊭↱���⊬CA3)","highest_n_order":3,"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":1070,"base":16},"right_expr":{"type":"numeric_atoms","value":3962,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1918,"base":16},"right_expr":{"type":"numeric_atoms","value":3235,"base":16}}},"used_operators":["tmPS8pqC7x","i8ToyICDmI","COABgblf1C"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1070","layer":2},{"info":"number node, value=3962","layer":2},{"info":"compute binary expreesion, left_input=1070, right_input=3962, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1918","layer":2},{"info":"number node, value=3235","layer":2},{"info":"compute binary expreesion, left_input=1918, right_input=3235, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2639","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2639, 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":16,"result_base":16,"text":"(∃⊬42E∲⫓∃⊬F7A)⨪↰⇹(∃⊬77E⊭↱∃⊬CA3)=∃⊬0","reverse_text":"∃⊬0=(∃⊬42E∲⫓∃⊬F7A)⨪↰⇹(∃⊬77E⊭↱∃⊬CA3)","cot":[{"info":"∃⊬42E∲⫓∃⊬F7A=∃⊬0","layer":1},{"info":"∃⊬77E⊭↱∃⊬CA3=∃⊬A4F","layer":1},{"info":"∃⊬0⨪↰⇹∃⊬A4F=∃⊬0","layer":0}]}
+{"id":332,"expression_no_base_symbol":"$1895$⫥∨⫟$5944$⨸⪁$1776$⫥∨⫟$2721$","expression":"∃⊬767⫥∨⫟∃⊬1738⨸⪁∃⊬6F0⫥∨⫟∃⊬AA1","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":311,"operation_count":3,"complexity_ratio":103.66666666666667,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1895,"base":16},"right_expr":{"type":"numeric_atoms","value":5944,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1776,"base":16},"right_expr":{"type":"numeric_atoms","value":2721,"base":16}}},"used_operators":["g55IO6H4Gj","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1895","layer":2},{"info":"number node, value=5944","layer":2},{"info":"compute binary expreesion, left_input=1895, right_input=5944, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1776","layer":2},{"info":"number node, value=2721","layer":2},{"info":"compute binary expreesion, left_input=1776, right_input=2721, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬767⫥∨⫟∃⊬1738⨸⪁∃⊬6F0⫥∨⫟∃⊬AA1=NaN","reverse_text":"NaN=∃⊬767⫥∨⫟∃⊬1738⨸⪁∃⊬6F0⫥∨⫟∃⊬AA1","cot":[{"info":"∃⊬767⫥∨⫟∃⊬1738=NaN","layer":1},{"info":"∃⊬6F0⫥∨⫟∃⊬AA1=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
+{"id":333,"expression_no_base_symbol":"(+⊝⨔$2198$)⊦⊿","expression":"(+⊝⨔∃⊬896)⊦⊿","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":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2198,"base":16}}},"used_operators":["14qkJME0vr","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬-1225","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2198","layer":2},{"info":"compute unary expreesion, input=2198, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4645","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔∃⊬896)⊦⊿=∃⊬-1225","reverse_text":"∃⊬-1225=(+⊝⨔∃⊬896)⊦⊿","cot":[{"info":"+⊝⨔∃⊬896=∃⊬5F2","layer":1},{"info":"∃⊬5F2⊦⊿=∃⊬-1225","layer":0}]}
+{"id":334,"expression_no_base_symbol":"(≤/$1138$)⇷($1546$-$3506$)","expression":"(≤/∃⊬472)⇷(∃⊬60A-∃⊬DB2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9166,"operation_count":3,"complexity_ratio":3055.3333333333335,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1138,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1546,"base":16},"right_expr":{"type":"numeric_atoms","value":3506,"base":16}}},"used_operators":["mp7IySMOzn","eLAdDNolq6","rysDP5nf3Z"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":2},{"info":"compute unary expreesion, input=1138, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-654","layer":1},{"info":"number node, value=1546","layer":2},{"info":"number node, value=3506","layer":2},{"info":"compute binary expreesion, left_input=1546, right_input=3506, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1960","layer":1},{"info":"compute binary expreesion, left_input=-654, right_input=-1960, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬472)⇷(∃⊬60A-∃⊬DB2)=NaN","reverse_text":"NaN=(≤/∃⊬472)⇷(∃⊬60A-∃⊬DB2)","cot":[{"info":"≤/∃⊬472=∃⊬-28E","layer":1},{"info":"∃⊬60A-∃⊬DB2=∃⊬-7A8","layer":1},{"info":"∃⊬-28E⇷∃⊬-7A8=NaN","layer":0}]}
+{"id":335,"expression_no_base_symbol":"↯⪼($1173$⪛$1761$)","expression":"↯⪼(∃⊬495⪛∃⊬6E1)","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":1173,"base":16},"right_expr":{"type":"numeric_atoms","value":1761,"base":16}}},"used_operators":["8jW3W4yZS5","uFcxV4UQCh"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1173","layer":2},{"info":"number node, value=1761","layer":2},{"info":"compute binary expreesion, left_input=1173, right_input=1761, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1173","layer":1},{"info":"compute unary expreesion, input=1173, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∃⊬495⪛∃⊬6E1)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(∃⊬495⪛∃⊬6E1)","cot":[{"info":"∃⊬495⪛∃⊬6E1=∃⊬495","layer":1},{"info":"↯⪼∃⊬495=∃⊬-15","layer":0}]}
+{"id":336,"expression_no_base_symbol":"(⪝⪂⫅$7385$)⩨$3468$⋓$3608$","expression":"(⪝⪂⫅∃⊬1CD9)⩨∃⊬D8C⋓∃⊬E18","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":167,"operation_count":3,"complexity_ratio":55.666666666666664,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7385,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3468,"base":16},"right_expr":{"type":"numeric_atoms","value":3608,"base":16}}},"used_operators":["2DlMacCsIx","XTarYq4gQB","T2fj7uvVaJ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7385","layer":2},{"info":"compute unary expreesion, input=7385, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1085595","layer":1},{"info":"number node, value=3468","layer":2},{"info":"number node, value=3608","layer":2},{"info":"compute binary expreesion, left_input=3468, right_input=3608, 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=-1085595, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅∃⊬1CD9)⩨∃⊬D8C⋓∃⊬E18=∃⊬0","reverse_text":"∃⊬0=(⪝⪂⫅∃⊬1CD9)⩨∃⊬D8C⋓∃⊬E18","cot":[{"info":"⪝⪂⫅∃⊬1CD9=∃⊬-10909B","layer":1},{"info":"∃⊬D8C⋓∃⊬E18=∃⊬0","layer":1},{"info":"∃⊬-10909B⩨∃⊬0=∃⊬0","layer":0}]}
+{"id":337,"expression_no_base_symbol":"($2159$⨸⪁$1200$)⨎$2132$⩚⊴⇥$9123$","expression":"(∃⊬86F⨸⪁∃⊬4B0)⨎∃⊬854⩚⊴⇥∃⊬23A3","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":2159,"base":16},"right_expr":{"type":"numeric_atoms","value":1200,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2132,"base":16},"right_expr":{"type":"numeric_atoms","value":9123,"base":16}}},"used_operators":["rJVOvQCfKK","g55IO6H4Gj","NTOWxs364D"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-2C70","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2159","layer":2},{"info":"number node, value=1200","layer":2},{"info":"compute binary expreesion, left_input=2159, right_input=1200, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6718","layer":1},{"info":"number node, value=2132","layer":2},{"info":"number node, value=9123","layer":2},{"info":"compute binary expreesion, left_input=2132, right_input=9123, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11376","layer":1},{"info":"compute binary expreesion, left_input=6718, right_input=-11376, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-11376","layer":0}],"base":16,"result_base":16,"text":"(∃⊬86F⨸⪁∃⊬4B0)⨎∃⊬854⩚⊴⇥∃⊬23A3=∃⊬-2C70","reverse_text":"∃⊬-2C70=(∃⊬86F⨸⪁∃⊬4B0)⨎∃⊬854⩚⊴⇥∃⊬23A3","cot":[{"info":"∃⊬86F⨸⪁∃⊬4B0=∃⊬1A3E","layer":1},{"info":"∃⊬854⩚⊴⇥∃⊬23A3=∃⊬-2C70","layer":1},{"info":"∃⊬1A3E⨎∃⊬-2C70=∃⊬-2C70","layer":0}]}
+{"id":338,"expression_no_base_symbol":"($2255$⋳⪒$2785$)⨓($1098$≫≃)","expression":"(∃⊬8CF⋳⪒∃⊬AE1)⨓(∃⊬44A≫≃)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3617,"operation_count":3,"complexity_ratio":1205.6666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2255,"base":16},"right_expr":{"type":"numeric_atoms","value":2785,"base":16}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1098,"base":16}}},"used_operators":["3ViojmjbAp","12rbrZMWeM","X99M06cbEe"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"∃⊬-E10","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2255","layer":2},{"info":"number node, value=2785","layer":2},{"info":"compute binary expreesion, left_input=2255, right_input=2785, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1438","layer":1},{"info":"number node, value=1098","layer":2},{"info":"compute unary expreesion, input=1098, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3597","layer":1},{"info":"compute binary expreesion, left_input=1438, right_input=3597, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3600","layer":0}],"base":16,"result_base":16,"text":"(∃⊬8CF⋳⪒∃⊬AE1)⨓(∃⊬44A≫≃)=∃⊬-E10","reverse_text":"∃⊬-E10=(∃⊬8CF⋳⪒∃⊬AE1)⨓(∃⊬44A≫≃)","cot":[{"info":"∃⊬8CF⋳⪒∃⊬AE1=∃⊬59E","layer":1},{"info":"∃⊬44A≫≃=∃⊬E0D","layer":1},{"info":"∃⊬59E⨓∃⊬E0D=∃⊬-E10","layer":0}]}
+{"id":339,"expression_no_base_symbol":"↽≂$6447$∑⇟⊟$1917$","expression":"↽≂∃⊬192F∑⇟⊟∃⊬77D","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":6447,"base":16},"right_expr":{"type":"numeric_atoms","value":1917,"base":16}}},"used_operators":["u6S6b8DprG","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6447","layer":2},{"info":"number node, value=1917","layer":2},{"info":"compute binary expreesion, left_input=6447, right_input=1917, 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 = 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":16,"result_base":16,"text":"↽≂∃⊬192F∑⇟⊟∃⊬77D=NaN","reverse_text":"NaN=↽≂∃⊬192F∑⇟⊟∃⊬77D","cot":[{"info":"∃⊬192F∑⇟⊟∃⊬77D=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
+{"id":340,"expression_no_base_symbol":"(+⊝⨔$2680$)⨰$1577$⪛$1307$","expression":"(+⊝⨔∃⊬A78)⨰∃⊬629⪛∃⊬51B","highest_n_order":3,"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":2680,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1577,"base":16},"right_expr":{"type":"numeric_atoms","value":1307,"base":16}}},"used_operators":["eewbuw0ToL","DhbWaqg5eL","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬4EE","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2680","layer":2},{"info":"compute unary expreesion, input=2680, 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=1577","layer":2},{"info":"number node, value=1307","layer":2},{"info":"compute binary expreesion, left_input=1577, right_input=1307, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=270","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=270, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1262","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔∃⊬A78)⨰∃⊬629⪛∃⊬51B=∃⊬4EE","reverse_text":"∃⊬4EE=(+⊝⨔∃⊬A78)⨰∃⊬629⪛∃⊬51B","cot":[{"info":"+⊝⨔∃⊬A78=∃⊬5F2","layer":1},{"info":"∃⊬629⪛∃⊬51B=∃⊬10E","layer":1},{"info":"∃⊬5F2⨰∃⊬10E=∃⊬4EE","layer":0}]}
+{"id":341,"expression_no_base_symbol":"$3091$⫥∨⫟$3934$↺$1835$+⇶⊼$1578$","expression":"∃⊬C13⫥∨⫟∃⊬F5E↺∃⊬72B+⇶⊼∃⊬62A","highest_n_order":5,"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":3091,"base":16},"right_expr":{"type":"numeric_atoms","value":3934,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1835,"base":16},"right_expr":{"type":"numeric_atoms","value":1578,"base":16}}},"used_operators":["7j4O788W3g","KYD54nUTWz","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3091","layer":2},{"info":"number node, value=3934","layer":2},{"info":"compute binary expreesion, left_input=3091, right_input=3934, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1835","layer":2},{"info":"number node, value=1578","layer":2},{"info":"compute binary expreesion, left_input=1835, right_input=1578, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬C13⫥∨⫟∃⊬F5E↺∃⊬72B+⇶⊼∃⊬62A=NaN","reverse_text":"NaN=∃⊬C13⫥∨⫟∃⊬F5E↺∃⊬72B+⇶⊼∃⊬62A","cot":[{"info":"∃⊬C13⫥∨⫟∃⊬F5E=NaN","layer":1},{"info":"∃⊬72B+⇶⊼∃⊬62A=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
+{"id":342,"expression_no_base_symbol":"⨵≀≌(↩$1541$)","expression":"⨵≀≌(↩∃⊬605)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":9569,"operation_count":2,"complexity_ratio":4784.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1541,"base":16}}},"used_operators":["srAu1WTS94","jLgFTUHLKL"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"∃⊬56F0E90","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1541","layer":2},{"info":"compute unary expreesion, input=1541, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9548","layer":1},{"info":"compute unary expreesion, input=-9548, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=91164304","layer":0}],"base":16,"result_base":16,"text":"⨵≀≌(↩∃⊬605)=∃⊬56F0E90","reverse_text":"∃⊬56F0E90=⨵≀≌(↩∃⊬605)","cot":[{"info":"↩∃⊬605=∃⊬-254C","layer":1},{"info":"⨵≀≌∃⊬-254C=∃⊬56F0E90","layer":0}]}
+{"id":343,"expression_no_base_symbol":"$3369$⩚⊴⇥$5927$⋳⪒$1091$⨟⋌⩍$6039$","expression":"∃⊬D29⩚⊴⇥∃⊬1727⋳⪒∃⊬443⨟⋌⩍∃⊬1797","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":3369,"base":16},"right_expr":{"type":"numeric_atoms","value":5927,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1091,"base":16},"right_expr":{"type":"numeric_atoms","value":6039,"base":16}}},"used_operators":["12rbrZMWeM","NTOWxs364D","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3369","layer":2},{"info":"number node, value=5927","layer":2},{"info":"compute binary expreesion, left_input=3369, right_input=5927, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9417","layer":1},{"info":"number node, value=1091","layer":2},{"info":"number node, value=6039","layer":2},{"info":"compute binary expreesion, left_input=1091, right_input=6039, 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=-9417, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬D29⩚⊴⇥∃⊬1727⋳⪒∃⊬443⨟⋌⩍∃⊬1797=NaN","reverse_text":"NaN=∃⊬D29⩚⊴⇥∃⊬1727⋳⪒∃⊬443⨟⋌⩍∃⊬1797","cot":[{"info":"∃⊬D29⩚⊴⇥∃⊬1727=∃⊬-24C9","layer":1},{"info":"∃⊬443⨟⋌⩍∃⊬1797=NaN","layer":1},{"info":"∃⊬-24C9⋳⪒NaN=NaN","layer":0}]}
+{"id":344,"expression_no_base_symbol":"($1938$⇋≉)⪐","expression":"(∃⊬792⇋≉)⪐","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":1938,"base":16}}},"used_operators":["eH2TOUuTDT","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬1D84","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1938","layer":2},{"info":"compute unary expreesion, input=1938, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3778","layer":1},{"info":"compute unary expreesion, input=3778, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7556","layer":0}],"base":16,"result_base":16,"text":"(∃⊬792⇋≉)⪐=∃⊬1D84","reverse_text":"∃⊬1D84=(∃⊬792⇋≉)⪐","cot":[{"info":"∃⊬792⇋≉=∃⊬EC2","layer":1},{"info":"∃⊬EC2⪐=∃⊬1D84","layer":0}]}
+{"id":345,"expression_no_base_symbol":"$2455$⩷∴$5281$↺($3525$*$4409$)","expression":"∃⊬997⩷∴∃⊬14A1↺(∃⊬DC5*∃⊬1139)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3533,"operation_count":3,"complexity_ratio":1177.6666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2455,"base":16},"right_expr":{"type":"numeric_atoms","value":5281,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3525,"base":16},"right_expr":{"type":"numeric_atoms","value":4409,"base":16}}},"used_operators":["7j4O788W3g","9FxExcQeMw","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"∃⊬ED25DD","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2455","layer":2},{"info":"number node, value=5281","layer":2},{"info":"compute binary expreesion, left_input=2455, right_input=5281, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5684","layer":1},{"info":"number node, value=3525","layer":2},{"info":"number node, value=4409","layer":2},{"info":"compute binary expreesion, left_input=3525, right_input=4409, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15541725","layer":1},{"info":"compute binary expreesion, left_input=-5684, right_input=15541725, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=15541725","layer":0}],"base":16,"result_base":16,"text":"∃⊬997⩷∴∃⊬14A1↺(∃⊬DC5*∃⊬1139)=∃⊬ED25DD","reverse_text":"∃⊬ED25DD=∃⊬997⩷∴∃⊬14A1↺(∃⊬DC5*∃⊬1139)","cot":[{"info":"∃⊬997⩷∴∃⊬14A1=∃⊬-1634","layer":1},{"info":"∃⊬DC5*∃⊬1139=∃⊬ED25DD","layer":1},{"info":"∃⊬-1634↺∃⊬ED25DD=∃⊬ED25DD","layer":0}]}
+{"id":346,"expression_no_base_symbol":"($2398$↛⩡⫤)⨟⋌⩍($4560$∑⇟⊟$3342$)","expression":"(∃⊬95E↛⩡⫤)⨟⋌⩍(∃⊬11D0∑⇟⊟∃⊬D0E)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7330,"operation_count":3,"complexity_ratio":2443.3333333333335,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2398,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4560,"base":16},"right_expr":{"type":"numeric_atoms","value":3342,"base":16}}},"used_operators":["rGHVDoGpnC","FU0Cs4j7VP","U7g4x0WXJJ"],"dependent_operators":["Tcnh7f0tEr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2398","layer":2},{"info":"compute unary expreesion, input=2398, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-358187","layer":1},{"info":"number node, value=4560","layer":2},{"info":"number node, value=3342","layer":2},{"info":"compute binary expreesion, left_input=4560, right_input=3342, 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=-358187, 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":16,"result_base":16,"text":"(∃⊬95E↛⩡⫤)⨟⋌⩍(∃⊬11D0∑⇟⊟∃⊬D0E)=NaN","reverse_text":"NaN=(∃⊬95E↛⩡⫤)⨟⋌⩍(∃⊬11D0∑⇟⊟∃⊬D0E)","cot":[{"info":"∃⊬95E↛⩡⫤=∃⊬-5772B","layer":1},{"info":"∃⊬11D0∑⇟⊟∃⊬D0E=NaN","layer":1},{"info":"∃⊬-5772B⨟⋌⩍NaN=NaN","layer":0}]}
+{"id":347,"expression_no_base_symbol":"($4130$⩨$1139$)⊭∹↮","expression":"(∃⊬1022⩨∃⊬473)⊭∹↮","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":4130,"base":16},"right_expr":{"type":"numeric_atoms","value":1139,"base":16}}},"used_operators":["xNBdhnnwKq","2DlMacCsIx"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4130","layer":2},{"info":"number node, value=1139","layer":2},{"info":"compute binary expreesion, left_input=4130, right_input=1139, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1022⩨∃⊬473)⊭∹↮=∃⊬0","reverse_text":"∃⊬0=(∃⊬1022⩨∃⊬473)⊭∹↮","cot":[{"info":"∃⊬1022⩨∃⊬473=∃⊬0","layer":1},{"info":"∃⊬0⊭∹↮=∃⊬0","layer":0}]}
+{"id":348,"expression_no_base_symbol":"($4054$⋳⪒$3135$)⪢($1154$≭$1036$)","expression":"(∃⊬FD6⋳⪒∃⊬C3F)⪢(∃⊬482≭∃⊬40C)","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":4054,"base":16},"right_expr":{"type":"numeric_atoms","value":3135,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1154,"base":16},"right_expr":{"type":"numeric_atoms","value":1036,"base":16}}},"used_operators":["dWAJyo7jo9","12rbrZMWeM","rxpJgHHUmx"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4054","layer":2},{"info":"number node, value=3135","layer":2},{"info":"compute binary expreesion, left_input=4054, right_input=3135, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4686","layer":1},{"info":"number node, value=1154","layer":2},{"info":"number node, value=1036","layer":2},{"info":"compute binary expreesion, left_input=1154, right_input=1036, 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=4686, 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":16,"result_base":16,"text":"(∃⊬FD6⋳⪒∃⊬C3F)⪢(∃⊬482≭∃⊬40C)=NaN","reverse_text":"NaN=(∃⊬FD6⋳⪒∃⊬C3F)⪢(∃⊬482≭∃⊬40C)","cot":[{"info":"∃⊬FD6⋳⪒∃⊬C3F=∃⊬124E","layer":1},{"info":"∃⊬482≭∃⊬40C=NaN","layer":1},{"info":"∃⊬124E⪢NaN=NaN","layer":0}]}
+{"id":349,"expression_no_base_symbol":"($1098$+$1381$)⪢(⋗⩬⋾$2780$)","expression":"(∃⊬44A+∃⊬565)⪢(⋗⩬⋾∃⊬ADC)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8344,"operation_count":3,"complexity_ratio":2781.3333333333335,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1098,"base":16},"right_expr":{"type":"numeric_atoms","value":1381,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2780,"base":16}}},"used_operators":["dWAJyo7jo9","W4YGzv6Whe","DpFCA1CohY"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":2},{"info":"number node, value=1381","layer":2},{"info":"compute binary expreesion, left_input=1098, right_input=1381, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2479","layer":1},{"info":"number node, value=2780","layer":2},{"info":"compute unary expreesion, input=2780, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8340","layer":1},{"info":"compute binary expreesion, left_input=2479, right_input=-8340, 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":16,"result_base":16,"text":"(∃⊬44A+∃⊬565)⪢(⋗⩬⋾∃⊬ADC)=NaN","reverse_text":"NaN=(∃⊬44A+∃⊬565)⪢(⋗⩬⋾∃⊬ADC)","cot":[{"info":"∃⊬44A+∃⊬565=∃⊬9AF","layer":1},{"info":"⋗⩬⋾∃⊬ADC=∃⊬-2094","layer":1},{"info":"∃⊬9AF⪢∃⊬-2094=NaN","layer":0}]}
+{"id":350,"expression_no_base_symbol":"($6435$⨵⪆$3839$)⪒$1005$⇷$1168$","expression":"(∃⊬1923⨵⪆∃⊬EFF)⪒∃⊬3ED⇷∃⊬490","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14080,"operation_count":3,"complexity_ratio":4693.333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6435,"base":16},"right_expr":{"type":"numeric_atoms","value":3839,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1005,"base":16},"right_expr":{"type":"numeric_atoms","value":1168,"base":16}}},"used_operators":["f6k1SAg4EE","2DQ55sFlQl","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬-9C0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6435","layer":2},{"info":"number node, value=3839","layer":2},{"info":"compute binary expreesion, left_input=6435, right_input=3839, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1005","layer":2},{"info":"number node, value=1168","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=1168, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2336","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=2336, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2496","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1923⨵⪆∃⊬EFF)⪒∃⊬3ED⇷∃⊬490=∃⊬-9C0","reverse_text":"∃⊬-9C0=(∃⊬1923⨵⪆∃⊬EFF)⪒∃⊬3ED⇷∃⊬490","cot":[{"info":"∃⊬1923⨵⪆∃⊬EFF=∃⊬A0","layer":1},{"info":"∃⊬3ED⇷∃⊬490=∃⊬920","layer":1},{"info":"∃⊬A0⪒∃⊬920=∃⊬-9C0","layer":0}]}
+{"id":351,"expression_no_base_symbol":"($1336$∲⫓$1614$)∲⫓$1156$⋳⪒$6678$","expression":"(∃⊬538∲⫓∃⊬64E)∲⫓∃⊬484⋳⪒∃⊬1A16","highest_n_order":1,"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":1336,"base":16},"right_expr":{"type":"numeric_atoms","value":1614,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1156,"base":16},"right_expr":{"type":"numeric_atoms","value":6678,"base":16}}},"used_operators":["i8ToyICDmI","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1336","layer":2},{"info":"number node, value=1614","layer":2},{"info":"compute binary expreesion, left_input=1336, right_input=1614, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1156","layer":2},{"info":"number node, value=6678","layer":2},{"info":"compute binary expreesion, left_input=1156, right_input=6678, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4653","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-4653, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬538∲⫓∃⊬64E)∲⫓∃⊬484⋳⪒∃⊬1A16=∃⊬0","reverse_text":"∃⊬0=(∃⊬538∲⫓∃⊬64E)∲⫓∃⊬484⋳⪒∃⊬1A16","cot":[{"info":"∃⊬538∲⫓∃⊬64E=∃⊬0","layer":1},{"info":"∃⊬484⋳⪒∃⊬1A16=∃⊬-122D","layer":1},{"info":"∃⊬0∲⫓∃⊬-122D=∃⊬0","layer":0}]}
+{"id":352,"expression_no_base_symbol":"⨞⊢$1949$⨓$3316$","expression":"⨞⊢∃⊬79D⨓∃⊬CF4","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3324,"operation_count":2,"complexity_ratio":1662.0,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1949,"base":16},"right_expr":{"type":"numeric_atoms","value":3316,"base":16}}},"used_operators":["xUOZtlo3hN","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬C49","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1949","layer":2},{"info":"number node, value=3316","layer":2},{"info":"compute binary expreesion, left_input=1949, right_input=3316, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3319","layer":1},{"info":"compute unary expreesion, input=-3319, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=3145","layer":0}],"base":16,"result_base":16,"text":"⨞⊢∃⊬79D⨓∃⊬CF4=∃⊬C49","reverse_text":"∃⊬C49=⨞⊢∃⊬79D⨓∃⊬CF4","cot":[{"info":"∃⊬79D⨓∃⊬CF4=∃⊬-CF7","layer":1},{"info":"⨞⊢∃⊬-CF7=∃⊬C49","layer":0}]}
+{"id":353,"expression_no_base_symbol":"(⩦⩻⨪$1498$)⩨($2020$∲⫓$2127$)","expression":"(⩦⩻⨪∃⊬5DA)⩨(∃⊬7E4∲⫓∃⊬84F)","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":1498,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2020,"base":16},"right_expr":{"type":"numeric_atoms","value":2127,"base":16}}},"used_operators":["2DlMacCsIx","2td37pGCOC","i8ToyICDmI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1498","layer":2},{"info":"compute unary expreesion, input=1498, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1498","layer":1},{"info":"number node, value=2020","layer":2},{"info":"number node, value=2127","layer":2},{"info":"compute binary expreesion, left_input=2020, right_input=2127, 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=1498, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪∃⊬5DA)⩨(∃⊬7E4∲⫓∃⊬84F)=∃⊬0","reverse_text":"∃⊬0=(⩦⩻⨪∃⊬5DA)⩨(∃⊬7E4∲⫓∃⊬84F)","cot":[{"info":"⩦⩻⨪∃⊬5DA=∃⊬5DA","layer":1},{"info":"∃⊬7E4∲⫓∃⊬84F=∃⊬0","layer":1},{"info":"∃⊬5DA⩨∃⊬0=∃⊬0","layer":0}]}
+{"id":354,"expression_no_base_symbol":"⨵≀≌($2244$⫡⨏$1014$)","expression":"⨵≀≌(∃⊬8C4⫡⨏∃⊬3F6)","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":2244,"base":16},"right_expr":{"type":"numeric_atoms","value":1014,"base":16}}},"used_operators":["srAu1WTS94","QMFrweE19q"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-A46D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2244","layer":2},{"info":"number node, value=1014","layer":2},{"info":"compute binary expreesion, left_input=2244, right_input=1014, 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=14031","layer":1},{"info":"compute unary expreesion, input=14031, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-42093","layer":0}],"base":16,"result_base":16,"text":"⨵≀≌(∃⊬8C4⫡⨏∃⊬3F6)=∃⊬-A46D","reverse_text":"∃⊬-A46D=⨵≀≌(∃⊬8C4⫡⨏∃⊬3F6)","cot":[{"info":"∃⊬8C4⫡⨏∃⊬3F6=∃⊬36CF","layer":1},{"info":"⨵≀≌∃⊬36CF=∃⊬-A46D","layer":0}]}
+{"id":355,"expression_no_base_symbol":"-$1544$⪄$2807$","expression":"-∃⊬608⪄∃⊬AF7","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":96,"operation_count":2,"complexity_ratio":48.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1544,"base":16},"right_expr":{"type":"numeric_atoms","value":2807,"base":16}}},"used_operators":["t8gj7n24qd","SUmda5xLS4"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬39935","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":2},{"info":"number node, value=2807","layer":2},{"info":"compute binary expreesion, left_input=1544, right_input=2807, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-235829","layer":1},{"info":"compute unary expreesion, input=-235829, op_id = t8gj7n24qd, unary_op_definition = 'None', output=235829","layer":0}],"base":16,"result_base":16,"text":"-∃⊬608⪄∃⊬AF7=∃⊬39935","reverse_text":"∃⊬39935=-∃⊬608⪄∃⊬AF7","cot":[{"info":"∃⊬608⪄∃⊬AF7=∃⊬-39935","layer":1},{"info":"-∃⊬-39935=∃⊬39935","layer":0}]}
+{"id":356,"expression_no_base_symbol":"$2180$⨰$4529$⨽($2935$⫡⨏$3020$)","expression":"∃⊬884⨰∃⊬11B1⨽(∃⊬B77⫡⨏∃⊬BCC)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2361,"operation_count":3,"complexity_ratio":787.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2180,"base":16},"right_expr":{"type":"numeric_atoms","value":4529,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2935,"base":16},"right_expr":{"type":"numeric_atoms","value":3020,"base":16}}},"used_operators":["8HhzD0ZcuI","eewbuw0ToL","QMFrweE19q"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-FB6727","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2180","layer":2},{"info":"number node, value=4529","layer":2},{"info":"compute binary expreesion, left_input=2180, right_input=4529, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2339","layer":1},{"info":"number node, value=2935","layer":2},{"info":"number node, value=3020","layer":2},{"info":"compute binary expreesion, left_input=2935, right_input=3020, 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=21498","layer":1},{"info":"compute binary expreesion, left_input=-2339, right_input=21498, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16475943","layer":0}],"base":16,"result_base":16,"text":"∃⊬884⨰∃⊬11B1⨽(∃⊬B77⫡⨏∃⊬BCC)=∃⊬-FB6727","reverse_text":"∃⊬-FB6727=∃⊬884⨰∃⊬11B1⨽(∃⊬B77⫡⨏∃⊬BCC)","cot":[{"info":"∃⊬884⨰∃⊬11B1=∃⊬-923","layer":1},{"info":"∃⊬B77⫡⨏∃⊬BCC=∃⊬53FA","layer":1},{"info":"∃⊬-923⨽∃⊬53FA=∃⊬-FB6727","layer":0}]}
+{"id":357,"expression_no_base_symbol":"($2046$↺$5553$)∀⇚≩($6691$↪⪝)","expression":"(∃⊬7FE↺∃⊬15B1)∀⇚≩(∃⊬1A23↪⪝)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39573,"operation_count":3,"complexity_ratio":13191.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2046,"base":16},"right_expr":{"type":"numeric_atoms","value":5553,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":6691,"base":16}}},"used_operators":["LRNGc0VcxI","7j4O788W3g","l07mrZUIn9"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2046","layer":2},{"info":"number node, value=5553","layer":2},{"info":"compute binary expreesion, left_input=2046, right_input=5553, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5553","layer":1},{"info":"number node, value=6691","layer":2},{"info":"compute unary expreesion, input=6691, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=409368762","layer":1},{"info":"compute binary expreesion, left_input=5553, right_input=409368762, 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":16,"result_base":16,"text":"(∃⊬7FE↺∃⊬15B1)∀⇚≩(∃⊬1A23↪⪝)=NaN","reverse_text":"NaN=(∃⊬7FE↺∃⊬15B1)∀⇚≩(∃⊬1A23↪⪝)","cot":[{"info":"∃⊬7FE↺∃⊬15B1=∃⊬15B1","layer":1},{"info":"∃⊬1A23↪⪝=∃⊬186678BA","layer":1},{"info":"∃⊬15B1∀⇚≩∃⊬186678BA=NaN","layer":0}]}
+{"id":358,"expression_no_base_symbol":"⊥(⊥$5218$)","expression":"⊥(⊥∃⊬1462)","highest_n_order":4,"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":5218,"base":16}}},"used_operators":["Q3PJZHRvZv"],"dependent_operators":["fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5218","layer":2},{"info":"compute unary expreesion, input=5218, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(⊥∃⊬1462)=NaN","reverse_text":"NaN=⊥(⊥∃⊬1462)","cot":[{"info":"⊥∃⊬1462=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
+{"id":359,"expression_no_base_symbol":"↣≠⋷($1605$↺$2590$)","expression":"↣≠⋷(∃⊬645↺∃⊬A1E)","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":1605,"base":16},"right_expr":{"type":"numeric_atoms","value":2590,"base":16}}},"used_operators":["Asc51vEJeQ","7j4O788W3g"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1605","layer":2},{"info":"number node, value=2590","layer":2},{"info":"compute binary expreesion, left_input=1605, right_input=2590, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2590","layer":1},{"info":"compute unary expreesion, input=2590, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷(∃⊬645↺∃⊬A1E)=NaN","reverse_text":"NaN=↣≠⋷(∃⊬645↺∃⊬A1E)","cot":[{"info":"∃⊬645↺∃⊬A1E=∃⊬A1E","layer":1},{"info":"↣≠⋷∃⊬A1E=NaN","layer":0}]}
+{"id":360,"expression_no_base_symbol":"$1950$+⇶⊼$6530$⋫","expression":"∃⊬79E+⇶⊼∃⊬1982⋫","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":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1950,"base":16},"right_expr":{"type":"numeric_atoms","value":6530,"base":16}}},"used_operators":["JL8yIekQnl","TpPTUOHfaN"],"dependent_operators":["tmPS8pqC7x","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1950","layer":2},{"info":"number node, value=6530","layer":2},{"info":"compute binary expreesion, left_input=1950, right_input=6530, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬79E+⇶⊼∃⊬1982⋫=NaN","reverse_text":"NaN=∃⊬79E+⇶⊼∃⊬1982⋫","cot":[{"info":"∃⊬79E+⇶⊼∃⊬1982=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
+{"id":361,"expression_no_base_symbol":"↣≠⋷(⩦⩻⨪$1347$)","expression":"↣≠⋷(⩦⩻⨪∃⊬543)","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":1347,"base":16}}},"used_operators":["Asc51vEJeQ","2td37pGCOC"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1347","layer":2},{"info":"compute unary expreesion, input=1347, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1347","layer":1},{"info":"compute unary expreesion, input=1347, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷(⩦⩻⨪∃⊬543)=NaN","reverse_text":"NaN=↣≠⋷(⩦⩻⨪∃⊬543)","cot":[{"info":"⩦⩻⨪∃⊬543=∃⊬543","layer":1},{"info":"↣≠⋷∃⊬543=NaN","layer":0}]}
+{"id":362,"expression_no_base_symbol":"($1279$∸)/$6411$⫥∨⫟$1586$","expression":"(∃⊬4FF∸)/∃⊬190B⫥∨⫟∃⊬632","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":332,"operation_count":3,"complexity_ratio":110.66666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1279,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6411,"base":16},"right_expr":{"type":"numeric_atoms","value":1586,"base":16}}},"used_operators":["XhwjNDsVaA","o20kRiQErp","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1279","layer":2},{"info":"compute unary expreesion, input=1279, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=6411","layer":2},{"info":"number node, value=1586","layer":2},{"info":"compute binary expreesion, left_input=6411, right_input=1586, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4FF∸)/∃⊬190B⫥∨⫟∃⊬632=NaN","reverse_text":"NaN=(∃⊬4FF∸)/∃⊬190B⫥∨⫟∃⊬632","cot":[{"info":"∃⊬4FF∸=∃⊬B1","layer":1},{"info":"∃⊬190B⫥∨⫟∃⊬632=NaN","layer":1},{"info":"∃⊬B1/NaN=NaN","layer":0}]}
+{"id":363,"expression_no_base_symbol":"$7332$⨪↰⇹$5327$*$1652$⇷$1113$","expression":"∃⊬1CA4⨪↰⇹∃⊬14CF*∃⊬674⇷∃⊬459","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32692,"operation_count":3,"complexity_ratio":10897.333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7332,"base":16},"right_expr":{"type":"numeric_atoms","value":5327,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1652,"base":16},"right_expr":{"type":"numeric_atoms","value":1113,"base":16}}},"used_operators":["9HNa5Wba9A","tmPS8pqC7x","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬F90A08","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7332","layer":2},{"info":"number node, value=5327","layer":2},{"info":"compute binary expreesion, left_input=7332, right_input=5327, 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=7332","layer":1},{"info":"number node, value=1652","layer":2},{"info":"number node, value=1113","layer":2},{"info":"compute binary expreesion, left_input=1652, right_input=1113, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2226","layer":1},{"info":"compute binary expreesion, left_input=7332, right_input=2226, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16321032","layer":0}],"base":16,"result_base":16,"text":"∃⊬1CA4⨪↰⇹∃⊬14CF*∃⊬674⇷∃⊬459=∃⊬F90A08","reverse_text":"∃⊬F90A08=∃⊬1CA4⨪↰⇹∃⊬14CF*∃⊬674⇷∃⊬459","cot":[{"info":"∃⊬1CA4⨪↰⇹∃⊬14CF=∃⊬1CA4","layer":1},{"info":"∃⊬674⇷∃⊬459=∃⊬8B2","layer":1},{"info":"∃⊬1CA4*∃⊬8B2=∃⊬F90A08","layer":0}]}
+{"id":364,"expression_no_base_symbol":"$1002$⪛$2342$+⇶⊼($1036$-$2780$)","expression":"∃⊬3EA⪛∃⊬926+⇶⊼(∃⊬40C-∃⊬ADC)","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":1002,"base":16},"right_expr":{"type":"numeric_atoms","value":2342,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1036,"base":16},"right_expr":{"type":"numeric_atoms","value":2780,"base":16}}},"used_operators":["TpPTUOHfaN","uFcxV4UQCh","rysDP5nf3Z"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":2},{"info":"number node, value=2342","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=2342, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1002","layer":1},{"info":"number node, value=1036","layer":2},{"info":"number node, value=2780","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=2780, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1744","layer":1},{"info":"compute binary expreesion, left_input=1002, right_input=-1744, 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":16,"result_base":16,"text":"∃⊬3EA⪛∃⊬926+⇶⊼(∃⊬40C-∃⊬ADC)=NaN","reverse_text":"NaN=∃⊬3EA⪛∃⊬926+⇶⊼(∃⊬40C-∃⊬ADC)","cot":[{"info":"∃⊬3EA⪛∃⊬926=∃⊬3EA","layer":1},{"info":"∃⊬40C-∃⊬ADC=∃⊬-6D0","layer":1},{"info":"∃⊬3EA+⇶⊼∃⊬-6D0=NaN","layer":0}]}
+{"id":365,"expression_no_base_symbol":"⊥($3528$⩚⊴⇥$2814$)","expression":"⊥(∃⊬DC8⩚⊴⇥∃⊬AFE)","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":3528,"base":16},"right_expr":{"type":"numeric_atoms","value":2814,"base":16}}},"used_operators":["Q3PJZHRvZv","NTOWxs364D"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3528","layer":2},{"info":"number node, value=2814","layer":2},{"info":"compute binary expreesion, left_input=3528, right_input=2814, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6463","layer":1},{"info":"compute unary expreesion, input=-6463, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬DC8⩚⊴⇥∃⊬AFE)=NaN","reverse_text":"NaN=⊥(∃⊬DC8⩚⊴⇥∃⊬AFE)","cot":[{"info":"∃⊬DC8⩚⊴⇥∃⊬AFE=∃⊬-193F","layer":1},{"info":"⊥∃⊬-193F=NaN","layer":0}]}
+{"id":366,"expression_no_base_symbol":"$3991$∀⇚≩$1596$⨸⪁($1463$⩨$1610$)","expression":"∃⊬F97∀⇚≩∃⊬63C⨸⪁(∃⊬5B7⩨∃⊬64A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27944,"operation_count":3,"complexity_ratio":9314.666666666666,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3991,"base":16},"right_expr":{"type":"numeric_atoms","value":1596,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1463,"base":16},"right_expr":{"type":"numeric_atoms","value":1610,"base":16}}},"used_operators":["g55IO6H4Gj","LRNGc0VcxI","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3991","layer":2},{"info":"number node, value=1596","layer":2},{"info":"compute binary expreesion, left_input=3991, right_input=1596, 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=1463","layer":2},{"info":"number node, value=1610","layer":2},{"info":"compute binary expreesion, left_input=1463, right_input=1610, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬F97∀⇚≩∃⊬63C⨸⪁(∃⊬5B7⩨∃⊬64A)=NaN","reverse_text":"NaN=∃⊬F97∀⇚≩∃⊬63C⨸⪁(∃⊬5B7⩨∃⊬64A)","cot":[{"info":"∃⊬F97∀⇚≩∃⊬63C=NaN","layer":1},{"info":"∃⊬5B7⩨∃⊬64A=∃⊬-3","layer":1},{"info":"NaN⨸⪁∃⊬-3=NaN","layer":0}]}
+{"id":367,"expression_no_base_symbol":"$2163$⫥∨⫟$3438$↙(⨈⫕$3796$)","expression":"∃⊬873⫥∨⫟∃⊬D6E↙(⨈⫕∃⊬ED4)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":541,"operation_count":3,"complexity_ratio":180.33333333333334,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2163,"base":16},"right_expr":{"type":"numeric_atoms","value":3438,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3796,"base":16}}},"used_operators":["yyfyN0ffXY","KYD54nUTWz","megm06wKyl"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2163","layer":2},{"info":"number node, value=3438","layer":2},{"info":"compute binary expreesion, left_input=2163, right_input=3438, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3796","layer":2},{"info":"compute unary expreesion, input=3796, 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=nan, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬873⫥∨⫟∃⊬D6E↙(⨈⫕∃⊬ED4)=NaN","reverse_text":"NaN=∃⊬873⫥∨⫟∃⊬D6E↙(⨈⫕∃⊬ED4)","cot":[{"info":"∃⊬873⫥∨⫟∃⊬D6E=NaN","layer":1},{"info":"⨈⫕∃⊬ED4=∃⊬-15","layer":1},{"info":"NaN↙∃⊬-15=NaN","layer":0}]}
+{"id":368,"expression_no_base_symbol":"($1695$⪐)∑⇟⊟($6462$⊉≛↸$1508$)","expression":"(∃⊬69F⪐)∑⇟⊟(∃⊬193E⊉≛↸∃⊬5E4)","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":1695,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6462,"base":16},"right_expr":{"type":"numeric_atoms","value":1508,"base":16}}},"used_operators":["U7g4x0WXJJ","eH2TOUuTDT","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1695","layer":2},{"info":"compute unary expreesion, input=1695, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3390","layer":1},{"info":"number node, value=6462","layer":2},{"info":"number node, value=1508","layer":2},{"info":"compute binary expreesion, left_input=6462, right_input=1508, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12924","layer":1},{"info":"compute binary expreesion, left_input=3390, right_input=12924, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬69F⪐)∑⇟⊟(∃⊬193E⊉≛↸∃⊬5E4)=NaN","reverse_text":"NaN=(∃⊬69F⪐)∑⇟⊟(∃⊬193E⊉≛↸∃⊬5E4)","cot":[{"info":"∃⊬69F⪐=∃⊬D3E","layer":1},{"info":"∃⊬193E⊉≛↸∃⊬5E4=∃⊬327C","layer":1},{"info":"∃⊬D3E∑⇟⊟∃⊬327C=NaN","layer":0}]}
+{"id":369,"expression_no_base_symbol":"$4592$⫸⊐$5248$%$1748$⨽$1425$","expression":"∃⊬11F0⫸⊐∃⊬1480%∃⊬6D4⨽∃⊬591","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1782,"operation_count":3,"complexity_ratio":594.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4592,"base":16},"right_expr":{"type":"numeric_atoms","value":5248,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1748,"base":16},"right_expr":{"type":"numeric_atoms","value":1425,"base":16}}},"used_operators":["k8jYdgA6NY","mqXw5SEYmG","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬-8B98BE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4592","layer":2},{"info":"number node, value=5248","layer":2},{"info":"compute binary expreesion, left_input=4592, right_input=5248, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20867","layer":1},{"info":"number node, value=1748","layer":2},{"info":"number node, value=1425","layer":2},{"info":"compute binary expreesion, left_input=1748, right_input=1425, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9169473","layer":1},{"info":"compute binary expreesion, left_input=20867, right_input=-9169473, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-9148606","layer":0}],"base":16,"result_base":16,"text":"∃⊬11F0⫸⊐∃⊬1480%∃⊬6D4⨽∃⊬591=∃⊬-8B98BE","reverse_text":"∃⊬-8B98BE=∃⊬11F0⫸⊐∃⊬1480%∃⊬6D4⨽∃⊬591","cot":[{"info":"∃⊬11F0⫸⊐∃⊬1480=∃⊬5183","layer":1},{"info":"∃⊬6D4⨽∃⊬591=∃⊬-8BEA41","layer":1},{"info":"∃⊬5183%∃⊬-8BEA41=∃⊬-8B98BE","layer":0}]}
+{"id":370,"expression_no_base_symbol":"($3564$∲⫓$3347$)⋳⪒(⪲⇎$1481$)","expression":"(∃⊬DEC∲⫓∃⊬D13)⋳⪒(⪲⇎∃⊬5C9)","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":3564,"base":16},"right_expr":{"type":"numeric_atoms","value":3347,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1481,"base":16}}},"used_operators":["12rbrZMWeM","i8ToyICDmI","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-CB1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3564","layer":2},{"info":"number node, value=3347","layer":2},{"info":"compute binary expreesion, left_input=3564, right_input=3347, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1481","layer":2},{"info":"compute unary expreesion, input=1481, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2962","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2962, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3249","layer":0}],"base":16,"result_base":16,"text":"(∃⊬DEC∲⫓∃⊬D13)⋳⪒(⪲⇎∃⊬5C9)=∃⊬-CB1","reverse_text":"∃⊬-CB1=(∃⊬DEC∲⫓∃⊬D13)⋳⪒(⪲⇎∃⊬5C9)","cot":[{"info":"∃⊬DEC∲⫓∃⊬D13=∃⊬0","layer":1},{"info":"⪲⇎∃⊬5C9=∃⊬B92","layer":1},{"info":"∃⊬0⋳⪒∃⊬B92=∃⊬-CB1","layer":0}]}
+{"id":371,"expression_no_base_symbol":"$7181$⨎$3566$*$3859$⪢$7045$","expression":"∃⊬1C0D⨎∃⊬DEE*∃⊬F13⪢∃⊬1B85","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7047,"operation_count":3,"complexity_ratio":2349.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7181,"base":16},"right_expr":{"type":"numeric_atoms","value":3566,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3859,"base":16},"right_expr":{"type":"numeric_atoms","value":7045,"base":16}}},"used_operators":["9HNa5Wba9A","rJVOvQCfKK","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7181","layer":2},{"info":"number node, value=3566","layer":2},{"info":"compute binary expreesion, left_input=7181, right_input=3566, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3566","layer":1},{"info":"number node, value=3859","layer":2},{"info":"number node, value=7045","layer":2},{"info":"compute binary expreesion, left_input=3859, right_input=7045, 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=3566, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1C0D⨎∃⊬DEE*∃⊬F13⪢∃⊬1B85=NaN","reverse_text":"NaN=∃⊬1C0D⨎∃⊬DEE*∃⊬F13⪢∃⊬1B85","cot":[{"info":"∃⊬1C0D⨎∃⊬DEE=∃⊬DEE","layer":1},{"info":"∃⊬F13⪢∃⊬1B85=NaN","layer":1},{"info":"∃⊬DEE*NaN=NaN","layer":0}]}
+{"id":372,"expression_no_base_symbol":"($3180$⨎$2029$)+⇶⊼$1114$⨪↰⇹$3644$","expression":"(∃⊬C6C⨎∃⊬7ED)+⇶⊼∃⊬45A⨪↰⇹∃⊬E3C","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1116,"operation_count":3,"complexity_ratio":372.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3180,"base":16},"right_expr":{"type":"numeric_atoms","value":2029,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1114,"base":16},"right_expr":{"type":"numeric_atoms","value":3644,"base":16}}},"used_operators":["TpPTUOHfaN","rJVOvQCfKK","tmPS8pqC7x"],"dependent_operators":["AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3180","layer":2},{"info":"number node, value=2029","layer":2},{"info":"compute binary expreesion, left_input=3180, right_input=2029, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2029","layer":1},{"info":"number node, value=1114","layer":2},{"info":"number node, value=3644","layer":2},{"info":"compute binary expreesion, left_input=1114, right_input=3644, 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=1114","layer":1},{"info":"compute binary expreesion, left_input=2029, right_input=1114, 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":16,"result_base":16,"text":"(∃⊬C6C⨎∃⊬7ED)+⇶⊼∃⊬45A⨪↰⇹∃⊬E3C=NaN","reverse_text":"NaN=(∃⊬C6C⨎∃⊬7ED)+⇶⊼∃⊬45A⨪↰⇹∃⊬E3C","cot":[{"info":"∃⊬C6C⨎∃⊬7ED=∃⊬7ED","layer":1},{"info":"∃⊬45A⨪↰⇹∃⊬E3C=∃⊬45A","layer":1},{"info":"∃⊬7ED+⇶⊼∃⊬45A=NaN","layer":0}]}
+{"id":373,"expression_no_base_symbol":"($1017$⨵⪆$6594$)+⇶⊼($3092$+⇶⊼$1028$)","expression":"(∃⊬3F9⨵⪆∃⊬19C2)+⇶⊼(∃⊬C14+⇶⊼∃⊬404)","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":1017,"base":16},"right_expr":{"type":"numeric_atoms","value":6594,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3092,"base":16},"right_expr":{"type":"numeric_atoms","value":1028,"base":16}}},"used_operators":["TpPTUOHfaN","2DQ55sFlQl"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1017","layer":2},{"info":"number node, value=6594","layer":2},{"info":"compute binary expreesion, left_input=1017, right_input=6594, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3092","layer":2},{"info":"number node, value=1028","layer":2},{"info":"compute binary expreesion, left_input=3092, right_input=1028, 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 = 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":16,"result_base":16,"text":"(∃⊬3F9⨵⪆∃⊬19C2)+⇶⊼(∃⊬C14+⇶⊼∃⊬404)=NaN","reverse_text":"NaN=(∃⊬3F9⨵⪆∃⊬19C2)+⇶⊼(∃⊬C14+⇶⊼∃⊬404)","cot":[{"info":"∃⊬3F9⨵⪆∃⊬19C2=∃⊬A0","layer":1},{"info":"∃⊬C14+⇶⊼∃⊬404=NaN","layer":1},{"info":"∃⊬A0+⇶⊼NaN=NaN","layer":0}]}
+{"id":374,"expression_no_base_symbol":"(⨑⩽⪐$2985$)⊘","expression":"(⨑⩽⪐∃⊬BA9)⊘","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":2985,"base":16}}},"used_operators":["gu96TGCTMs","AF7qkfDlqP"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2985","layer":2},{"info":"compute unary expreesion, input=2985, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2712","layer":1},{"info":"compute unary expreesion, input=-2712, 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":16,"result_base":16,"text":"(⨑⩽⪐∃⊬BA9)⊘=∃⊬-1","reverse_text":"∃⊬-1=(⨑⩽⪐∃⊬BA9)⊘","cot":[{"info":"⨑⩽⪐∃⊬BA9=∃⊬-A98","layer":1},{"info":"∃⊬-A98⊘=∃⊬-1","layer":0}]}
+{"id":375,"expression_no_base_symbol":"(⇁⨣⪵$3140$)≧⫂∧$2500$⪢$6602$","expression":"(⇁⨣⪵∃⊬C44)≧⫂∧∃⊬9C4⪢∃⊬19CA","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6604,"operation_count":3,"complexity_ratio":2201.3333333333335,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3140,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2500,"base":16},"right_expr":{"type":"numeric_atoms","value":6602,"base":16}}},"used_operators":["Ph9nP6C5qx","inkyxCbjAn","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3140","layer":2},{"info":"compute unary expreesion, input=3140, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=2500","layer":2},{"info":"number node, value=6602","layer":2},{"info":"compute binary expreesion, left_input=2500, right_input=6602, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⇁⨣⪵∃⊬C44)≧⫂∧∃⊬9C4⪢∃⊬19CA=NaN","reverse_text":"NaN=(⇁⨣⪵∃⊬C44)≧⫂∧∃⊬9C4⪢∃⊬19CA","cot":[{"info":"⇁⨣⪵∃⊬C44=NaN","layer":1},{"info":"∃⊬9C4⪢∃⊬19CA=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
+{"id":376,"expression_no_base_symbol":"($3878$⊭↱$5980$)≦≮≮","expression":"(∃⊬F26⊭↱∃⊬175C)≦≮≮","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":3878,"base":16},"right_expr":{"type":"numeric_atoms","value":5980,"base":16}}},"used_operators":["D4vGDi5EA2","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-3153","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3878","layer":2},{"info":"number node, value=5980","layer":2},{"info":"compute binary expreesion, left_input=3878, right_input=5980, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4209","layer":1},{"info":"compute unary expreesion, input=4209, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-12627","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F26⊭↱∃⊬175C)≦≮≮=∃⊬-3153","reverse_text":"∃⊬-3153=(∃⊬F26⊭↱∃⊬175C)≦≮≮","cot":[{"info":"∃⊬F26⊭���∃⊬175C=∃⊬1071","layer":1},{"info":"∃⊬1071≦≮≮=∃⊬-3153","layer":0}]}
+{"id":377,"expression_no_base_symbol":"$4090$⨪↰⇹$2174$⋷($1385$≫≃)","expression":"∃⊬FFA⨪↰⇹∃⊬87E⋷(∃⊬569≫≃)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4100,"operation_count":3,"complexity_ratio":1366.6666666666667,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4090,"base":16},"right_expr":{"type":"numeric_atoms","value":2174,"base":16}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1385,"base":16}}},"used_operators":["23Mk6UjR3U","tmPS8pqC7x","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"∃⊬109C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4090","layer":2},{"info":"number node, value=2174","layer":2},{"info":"compute binary expreesion, left_input=4090, right_input=2174, 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=4090","layer":1},{"info":"number node, value=1385","layer":2},{"info":"compute unary expreesion, input=1385, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4171","layer":1},{"info":"compute binary expreesion, left_input=4090, right_input=4171, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4252","layer":0}],"base":16,"result_base":16,"text":"∃⊬FFA⨪↰⇹∃⊬87E⋷(∃⊬569≫≃)=∃⊬109C","reverse_text":"∃⊬109C=∃⊬FFA⨪↰⇹∃⊬87E⋷(∃⊬569≫≃)","cot":[{"info":"∃⊬FFA⨪↰⇹∃⊬87E=∃⊬FFA","layer":1},{"info":"∃⊬569≫≃=∃⊬104B","layer":1},{"info":"∃⊬FFA⋷∃⊬104B=∃⊬109C","layer":0}]}
+{"id":378,"expression_no_base_symbol":"⨞⊢($3201$⫡⨏$5188$)","expression":"⨞⊢(∃⊬C81⫡⨏∃⊬1444)","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":3201,"base":16},"right_expr":{"type":"numeric_atoms","value":5188,"base":16}}},"used_operators":["xUOZtlo3hN","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-6ACA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3201","layer":2},{"info":"number node, value=5188","layer":2},{"info":"compute binary expreesion, left_input=3201, right_input=5188, 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=27164","layer":1},{"info":"compute unary expreesion, input=27164, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-27338","layer":0}],"base":16,"result_base":16,"text":"⨞⊢(∃⊬C81⫡⨏∃⊬1444)=∃⊬-6ACA","reverse_text":"∃⊬-6ACA=⨞⊢(∃⊬C81⫡⨏∃⊬1444)","cot":[{"info":"∃⊬C81⫡⨏∃⊬1444=∃⊬6A1C","layer":1},{"info":"⨞⊢∃⊬6A1C=∃⊬-6ACA","layer":0}]}
+{"id":379,"expression_no_base_symbol":"⩦⩻⨪(⨈⫕$3465$)","expression":"⩦⩻⨪(⨈⫕∃⊬D89)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3465,"base":16}}},"used_operators":["2td37pGCOC","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3465","layer":2},{"info":"compute unary expreesion, input=3465, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-21","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪(⨈⫕∃⊬D89)=∃⊬-15","reverse_text":"∃⊬-15=⩦⩻⨪(⨈⫕∃⊬D89)","cot":[{"info":"⨈⫕∃⊬D89=∃⊬-15","layer":1},{"info":"⩦⩻⨪∃⊬-15=∃⊬-15","layer":0}]}
+{"id":380,"expression_no_base_symbol":"⊄⩳↩($1926$⨸⪁$8132$)","expression":"⊄⩳↩(∃⊬786⨸⪁∃⊬1FC4)","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":1926,"base":16},"right_expr":{"type":"numeric_atoms","value":8132,"base":16}}},"used_operators":["8w2t5hMYqp","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-EBBC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1926","layer":2},{"info":"number node, value=8132","layer":2},{"info":"compute binary expreesion, left_input=1926, right_input=8132, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20116","layer":1},{"info":"compute unary expreesion, input=20116, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-60348","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(∃⊬786⨸⪁∃⊬1FC4)=∃⊬-EBBC","reverse_text":"∃⊬-EBBC=⊄⩳↩(∃⊬786⨸⪁∃⊬1FC4)","cot":[{"info":"∃⊬786⨸⪁∃⊬1FC4=∃⊬4E94","layer":1},{"info":"⊄⩳↩∃⊬4E94=∃⊬-EBBC","layer":0}]}
+{"id":381,"expression_no_base_symbol":"⊥($1309$⋓$2148$)","expression":"⊥(∃⊬51D⋓∃⊬864)","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":1309,"base":16},"right_expr":{"type":"numeric_atoms","value":2148,"base":16}}},"used_operators":["Q3PJZHRvZv","T2fj7uvVaJ"],"dependent_operators":["fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1309","layer":2},{"info":"number node, value=2148","layer":2},{"info":"compute binary expreesion, left_input=1309, right_input=2148, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬51D⋓∃⊬864)=∃⊬0","reverse_text":"∃⊬0=⊥(∃⊬51D⋓∃⊬864)","cot":[{"info":"∃⊬51D⋓∃⊬864=∃⊬0","layer":1},{"info":"⊥∃⊬0=∃⊬0","layer":0}]}
+{"id":382,"expression_no_base_symbol":"≦∁(⫛⫱⨽$1803$)","expression":"≦∁(⫛⫱⨽∃⊬70B)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1449,"operation_count":2,"complexity_ratio":724.5,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1803,"base":16}}},"used_operators":["9ICcGScMcE","DlLNRPXxWL"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC"],"result":"∃⊬-140","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1803","layer":2},{"info":"compute unary expreesion, input=1803, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":16,"result_base":16,"text":"≦∁(⫛⫱⨽∃⊬70B)=∃⊬-140","reverse_text":"∃⊬-140=≦∁(⫛⫱⨽∃⊬70B)","cot":[{"info":"⫛⫱⨽∃⊬70B=∃⊬0","layer":1},{"info":"≦∁∃⊬0=∃⊬-140","layer":0}]}
+{"id":383,"expression_no_base_symbol":"($2846$≦≮≮)⨐⩸⫘(↔$5772$)","expression":"(∃⊬B1E≦≮≮)⨐⩸⫘(↔∃⊬168C)","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":2846,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5772,"base":16}}},"used_operators":["fu6greOZ01","D4vGDi5EA2","ruOEQAzv1W"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2846","layer":2},{"info":"compute unary expreesion, input=2846, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8538","layer":1},{"info":"number node, value=5772","layer":2},{"info":"compute unary expreesion, input=5772, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5499","layer":1},{"info":"compute binary expreesion, left_input=-8538, right_input=-5499, 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":16,"result_base":16,"text":"(∃⊬B1E≦≮≮)⨐⩸⫘(↔∃⊬168C)=NaN","reverse_text":"NaN=(∃⊬B1E≦≮≮)⨐⩸⫘(↔∃⊬168C)","cot":[{"info":"∃⊬B1E≦≮≮=∃⊬-215A","layer":1},{"info":"↔∃⊬168C=∃⊬-157B","layer":1},{"info":"∃⊬-215A⨐⩸⫘∃⊬-157B=NaN","layer":0}]}
+{"id":384,"expression_no_base_symbol":"($4567$≎⊠⪸$1056$)⩷∴($2981$*$1615$)","expression":"(∃⊬11D7≎⊠⪸∃⊬420)⩷∴(∃⊬BA5*∃⊬64F)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1891,"operation_count":3,"complexity_ratio":630.3333333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4567,"base":16},"right_expr":{"type":"numeric_atoms","value":1056,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2981,"base":16},"right_expr":{"type":"numeric_atoms","value":1615,"base":16}}},"used_operators":["9FxExcQeMw","bJkvcejdHO","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe"],"result":"∃⊬-6ED69E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4567","layer":2},{"info":"number node, value=1056","layer":2},{"info":"compute binary expreesion, left_input=4567, right_input=1056, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1182380","layer":1},{"info":"number node, value=2981","layer":2},{"info":"number node, value=1615","layer":2},{"info":"compute binary expreesion, left_input=2981, right_input=1615, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4814315","layer":1},{"info":"compute binary expreesion, left_input=1182380, right_input=4814315, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7263902","layer":0}],"base":16,"result_base":16,"text":"(∃⊬11D7≎⊠⪸∃⊬420)⩷∴(∃⊬BA5*∃⊬64F)=∃⊬-6ED69E","reverse_text":"∃⊬-6ED69E=(∃⊬11D7≎⊠⪸∃⊬420)⩷∴(∃⊬BA5*∃⊬64F)","cot":[{"info":"∃⊬11D7≎⊠⪸∃⊬420=∃⊬120AAC","layer":1},{"info":"∃⊬BA5*∃⊬64F=∃⊬4975EB","layer":1},{"info":"∃⊬120AAC⩷∴∃⊬4975EB=∃⊬-6ED69E","layer":0}]}
+{"id":385,"expression_no_base_symbol":"(⨈⫕$4279$)≭($1327$⨸⪁$2393$)","expression":"(⨈⫕∃⊬10B7)≭(∃⊬52F⨸⪁∃⊬959)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":390,"operation_count":3,"complexity_ratio":130.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4279,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1327,"base":16},"right_expr":{"type":"numeric_atoms","value":2393,"base":16}}},"used_operators":["rxpJgHHUmx","megm06wKyl","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4279","layer":2},{"info":"compute unary expreesion, input=4279, 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=1327","layer":2},{"info":"number node, value=2393","layer":2},{"info":"compute binary expreesion, left_input=1327, right_input=2393, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7440","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=7440, 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":16,"result_base":16,"text":"(⨈⫕∃⊬10B7)≭(∃⊬52F⨸⪁∃⊬959)=NaN","reverse_text":"NaN=(⨈⫕∃⊬10B7)≭(∃⊬52F⨸⪁∃⊬959)","cot":[{"info":"⨈⫕∃⊬10B7=∃⊬-15","layer":1},{"info":"∃⊬52F⨸⪁∃⊬959=∃⊬1D10","layer":1},{"info":"∃⊬-15≭∃⊬1D10=NaN","layer":0}]}
+{"id":386,"expression_no_base_symbol":"($7468$⨓$8848$)↬($1321$⨽$1715$)","expression":"(∃⊬1D2C⨓∃⊬2290)↬(∃⊬529⨽∃⊬6B3)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10185,"operation_count":3,"complexity_ratio":3395.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7468,"base":16},"right_expr":{"type":"numeric_atoms","value":8848,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1321,"base":16},"right_expr":{"type":"numeric_atoms","value":1715,"base":16}}},"used_operators":["B5M0gjZbta","3ViojmjbAp","8HhzD0ZcuI"],"dependent_operators":["rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7468","layer":2},{"info":"number node, value=8848","layer":2},{"info":"compute binary expreesion, left_input=7468, right_input=8848, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8851","layer":1},{"info":"number node, value=1321","layer":2},{"info":"number node, value=1715","layer":2},{"info":"compute binary expreesion, left_input=1321, right_input=1715, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5238954","layer":1},{"info":"compute binary expreesion, left_input=-8851, right_input=-5238954, 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":16,"result_base":16,"text":"(∃⊬1D2C⨓∃⊬2290)↬(∃⊬529⨽∃⊬6B3)=NaN","reverse_text":"NaN=(∃⊬1D2C⨓∃⊬2290)↬(∃⊬529⨽∃⊬6B3)","cot":[{"info":"∃⊬1D2C⨓∃⊬2290=∃⊬-2293","layer":1},{"info":"∃⊬529⨽∃⊬6B3=∃⊬-4FF0AA","layer":1},{"info":"∃⊬-2293↬∃⊬-4FF0AA=NaN","layer":0}]}
+{"id":387,"expression_no_base_symbol":"⋗⩬⋾($1608$⇼⇔∾$1350$)","expression":"⋗⩬⋾(∃⊬648⇼⇔∾∃⊬546)","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":1608,"base":16},"right_expr":{"type":"numeric_atoms","value":1350,"base":16}}},"used_operators":["DpFCA1CohY","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬306","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1608","layer":2},{"info":"number node, value=1350","layer":2},{"info":"compute binary expreesion, left_input=1608, right_input=1350, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-258","layer":1},{"info":"compute unary expreesion, input=-258, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=774","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾(∃⊬648⇼⇔∾∃⊬546)=∃⊬306","reverse_text":"∃⊬306=⋗⩬⋾(∃⊬648⇼⇔∾∃⊬546)","cot":[{"info":"∃⊬648⇼⇔∾∃⊬546=∃⊬-102","layer":1},{"info":"⋗⩬⋾∃⊬-102=∃⊬306","layer":0}]}
+{"id":388,"expression_no_base_symbol":"$1193$⇼⇔∾$3906$⋷$4358$*$1651$","expression":"∃⊬4A9⇼⇔∾∃⊬F42⋷∃⊬1106*∃⊬673","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1656,"operation_count":3,"complexity_ratio":552.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1193,"base":16},"right_expr":{"type":"numeric_atoms","value":3906,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4358,"base":16},"right_expr":{"type":"numeric_atoms","value":1651,"base":16}}},"used_operators":["23Mk6UjR3U","tifHPKVTfV","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬DB88CB","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1193","layer":2},{"info":"number node, value=3906","layer":2},{"info":"compute binary expreesion, left_input=1193, right_input=3906, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2713","layer":1},{"info":"number node, value=4358","layer":2},{"info":"number node, value=1651","layer":2},{"info":"compute binary expreesion, left_input=4358, right_input=1651, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7195058","layer":1},{"info":"compute binary expreesion, left_input=2713, right_input=7195058, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=14387403","layer":0}],"base":16,"result_base":16,"text":"∃⊬4A9⇼⇔∾∃⊬F42⋷∃⊬1106*∃⊬673=∃⊬DB88CB","reverse_text":"∃⊬DB88CB=∃⊬4A9⇼⇔∾∃⊬F42⋷∃⊬1106*∃⊬673","cot":[{"info":"∃⊬4A9⇼⇔∾∃⊬F42=∃⊬A99","layer":1},{"info":"∃⊬1106*∃⊬673=∃⊬6DC9B2","layer":1},{"info":"∃⊬A99⋷∃⊬6DC9B2=∃⊬DB88CB","layer":0}]}
+{"id":389,"expression_no_base_symbol":"($1731$⊭↱$1936$)⩷∴(⊙↵-$1113$)","expression":"(∃⊬6C3⊭↱∃⊬790)⩷∴(⊙↵-∃⊬459)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1171,"operation_count":3,"complexity_ratio":390.3333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1731,"base":16},"right_expr":{"type":"numeric_atoms","value":1936,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1113,"base":16}}},"used_operators":["9FxExcQeMw","COABgblf1C","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬320","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1731","layer":2},{"info":"number node, value=1936","layer":2},{"info":"compute binary expreesion, left_input=1731, right_input=1936, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=415","layer":1},{"info":"number node, value=1113","layer":2},{"info":"compute unary expreesion, input=1113, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=415, right_input=-1, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=800","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6C3⊭↱∃⊬790)⩷∴(⊙↵-∃⊬459)=∃⊬320","reverse_text":"∃⊬320=(∃⊬6C3⊭↱∃⊬790)⩷∴(⊙↵-∃⊬459)","cot":[{"info":"∃⊬6C3⊭↱∃⊬790=∃⊬19F","layer":1},{"info":"⊙↵-∃⊬459=∃⊬-1","layer":1},{"info":"∃⊬19F⩷∴∃⊬-1=∃⊬320","layer":0}]}
+{"id":390,"expression_no_base_symbol":"($7434$⩷∴$1124$)≦≮≮","expression":"(∃⊬1D0A⩷∴∃⊬464)≦≮≮","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":7434,"base":16},"right_expr":{"type":"numeric_atoms","value":1124,"base":16}}},"used_operators":["D4vGDi5EA2","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-9384","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7434","layer":2},{"info":"number node, value=1124","layer":2},{"info":"compute binary expreesion, left_input=7434, right_input=1124, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=12588","layer":1},{"info":"compute unary expreesion, input=12588, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-37764","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1D0A⩷∴∃⊬464)≦≮≮=∃⊬-9384","reverse_text":"∃⊬-9384=(∃⊬1D0A⩷∴∃⊬464)≦≮≮","cot":[{"info":"∃⊬1D0A⩷∴∃⊬464=∃⊬312C","layer":1},{"info":"∃⊬312C≦≮≮=∃⊬-9384","layer":0}]}
+{"id":391,"expression_no_base_symbol":"(⨵≀≌$5901$)⇼⇔∾$1724$⩷∴$1867$","expression":"(⨵≀≌∃⊬170D)⇼⇔∾∃⊬6BC⩷∴∃⊬74B","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":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5901,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1724,"base":16},"right_expr":{"type":"numeric_atoms","value":1867,"base":16}}},"used_operators":["tifHPKVTfV","srAu1WTS94","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z"],"result":"∃⊬43E9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5901","layer":2},{"info":"compute unary expreesion, input=5901, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17703","layer":1},{"info":"number node, value=1724","layer":2},{"info":"number node, value=1867","layer":2},{"info":"compute binary expreesion, left_input=1724, right_input=1867, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-318","layer":1},{"info":"compute binary expreesion, left_input=-17703, right_input=-318, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=17385","layer":0}],"base":16,"result_base":16,"text":"(⨵≀≌∃⊬170D)⇼⇔∾∃⊬6BC⩷∴∃⊬74B=∃⊬43E9","reverse_text":"∃⊬43E9=(⨵≀≌∃⊬170D)⇼⇔∾∃⊬6BC⩷∴∃⊬74B","cot":[{"info":"⨵≀≌∃⊬170D=∃⊬-4527","layer":1},{"info":"∃⊬6BC⩷∴∃⊬74B=∃⊬-13E","layer":1},{"info":"∃⊬-4527⇼⇔∾∃⊬-13E=∃⊬43E9","layer":0}]}
+{"id":392,"expression_no_base_symbol":"($3213$⊉≛↸$3623$)⋝⋈⪟($1467$⩷∴$3719$)","expression":"(∃⊬C8D⊉≛↸∃⊬E27)⋝⋈⪟(∃⊬5BB⩷∴∃⊬E87)","highest_n_order":1,"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":3213,"base":16},"right_expr":{"type":"numeric_atoms","value":3623,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1467,"base":16},"right_expr":{"type":"numeric_atoms","value":3719,"base":16}}},"used_operators":["2DDjHMKMc0","DZ8iAZOCBD","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬191A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3213","layer":2},{"info":"number node, value=3623","layer":2},{"info":"compute binary expreesion, left_input=3213, right_input=3623, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6426","layer":1},{"info":"number node, value=1467","layer":2},{"info":"number node, value=3719","layer":2},{"info":"compute binary expreesion, left_input=1467, right_input=3719, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4536","layer":1},{"info":"compute binary expreesion, left_input=6426, right_input=-4536, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6426","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C8D⊉≛↸∃⊬E27)⋝⋈⪟(∃⊬5BB⩷∴∃⊬E87)=∃⊬191A","reverse_text":"∃⊬191A=(∃⊬C8D⊉≛↸∃⊬E27)⋝⋈⪟(∃⊬5BB⩷∴∃⊬E87)","cot":[{"info":"∃⊬C8D⊉≛↸∃⊬E27=∃⊬191A","layer":1},{"info":"∃⊬5BB⩷∴∃⊬E87=∃⊬-11B8","layer":1},{"info":"∃⊬191A⋝⋈⪟∃⊬-11B8=∃⊬191A","layer":0}]}
+{"id":393,"expression_no_base_symbol":"(⫛⫱⨽$1411$)⋝⋈⪟$1061$⪮%⊝$1402$","expression":"(⫛⫱⨽∃⊬583)⋝⋈⪟∃⊬425⪮%⊝∃⊬57A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1434,"operation_count":3,"complexity_ratio":478.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1411,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1061,"base":16},"right_expr":{"type":"numeric_atoms","value":1402,"base":16}}},"used_operators":["2DDjHMKMc0","DlLNRPXxWL","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1411","layer":2},{"info":"compute unary expreesion, input=1411, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1061","layer":2},{"info":"number node, value=1402","layer":2},{"info":"compute binary expreesion, left_input=1061, right_input=1402, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2438","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2438, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(⫛⫱⨽∃⊬583)⋝⋈⪟∃⊬425⪮%⊝∃⊬57A=∃⊬0","reverse_text":"∃⊬0=(⫛⫱⨽∃⊬583)⋝⋈⪟∃⊬425⪮%⊝∃⊬57A","cot":[{"info":"⫛⫱⨽∃⊬583=∃⊬0","layer":1},{"info":"∃⊬425⪮%⊝∃⊬57A=∃⊬986","layer":1},{"info":"∃⊬0⋝⋈⪟∃⊬986=∃⊬0","layer":0}]}
+{"id":394,"expression_no_base_symbol":"$5263$≧⫂∧$1878$⊠≄⫣","expression":"∃⊬148F≧⫂∧∃⊬756⊠≄⫣","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":5263,"base":16},"right_expr":{"type":"numeric_atoms","value":1878,"base":16}}},"used_operators":["DIvbN7qnHd","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5263","layer":2},{"info":"number node, value=1878","layer":2},{"info":"compute binary expreesion, left_input=5263, right_input=1878, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬148F≧⫂∧∃⊬756⊠≄⫣=∃⊬0","reverse_text":"∃⊬0=∃⊬148F≧⫂∧∃⊬756⊠≄⫣","cot":[{"info":"∃⊬148F≧⫂∧∃⊬756=∃⊬57D","layer":1},{"info":"∃⊬57D⊠≄⫣=∃⊬0","layer":0}]}
+{"id":395,"expression_no_base_symbol":"$3721$⪮%⊝$1430$+$5945$⨽$1049$","expression":"∃⊬E89⪮%⊝∃⊬596+∃⊬1739⨽∃⊬419","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5964,"operation_count":3,"complexity_ratio":1988.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3721,"base":16},"right_expr":{"type":"numeric_atoms","value":1430,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5945,"base":16},"right_expr":{"type":"numeric_atoms","value":1049,"base":16}}},"used_operators":["W4YGzv6Whe","IWmyXbctLI","8HhzD0ZcuI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬-651C8EE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3721","layer":2},{"info":"number node, value=1430","layer":2},{"info":"compute binary expreesion, left_input=3721, right_input=1430, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7758","layer":1},{"info":"number node, value=5945","layer":2},{"info":"number node, value=1049","layer":2},{"info":"compute binary expreesion, left_input=5945, right_input=1049, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-106030908","layer":1},{"info":"compute binary expreesion, left_input=7758, right_input=-106030908, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-106023150","layer":0}],"base":16,"result_base":16,"text":"∃⊬E89⪮%⊝∃⊬596+∃⊬1739⨽∃⊬419=∃⊬-651C8EE","reverse_text":"∃⊬-651C8EE=∃⊬E89⪮%⊝∃⊬596+∃⊬1739⨽∃⊬419","cot":[{"info":"∃⊬E89⪮%⊝∃⊬596=∃⊬1E4E","layer":1},{"info":"∃⊬1739⨽∃⊬419=∃⊬-651E73C","layer":1},{"info":"∃⊬1E4E+∃⊬-651E73C=∃⊬-651C8EE","layer":0}]}
+{"id":396,"expression_no_base_symbol":"$1501$⫡⨏$1216$↪⪝","expression":"∃⊬5DD⫡⨏∃⊬4C0↪⪝","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":707,"operation_count":2,"complexity_ratio":353.5,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1501,"base":16},"right_expr":{"type":"numeric_atoms","value":1216,"base":16}}},"used_operators":["l07mrZUIn9","QMFrweE19q"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬2717CC40","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1501","layer":2},{"info":"number node, value=1216","layer":2},{"info":"compute binary expreesion, left_input=1501, right_input=1216, 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=10720","layer":1},{"info":"compute unary expreesion, input=10720, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=655871040","layer":0}],"base":16,"result_base":16,"text":"∃⊬5DD⫡⨏∃⊬4C0↪⪝=∃⊬2717CC40","reverse_text":"∃⊬2717CC40=∃⊬5DD⫡⨏∃⊬4C0↪⪝","cot":[{"info":"∃⊬5DD⫡⨏∃⊬4C0=∃⊬29E0","layer":1},{"info":"∃⊬29E0↪⪝=∃⊬2717CC40","layer":0}]}
+{"id":397,"expression_no_base_symbol":"($2413$⫥∨⫟$1766$)+⇶⊼(⨰⫟⨤$2033$)","expression":"(∃⊬96D⫥∨⫟∃⊬6E6)+⇶⊼(⨰⫟⨤∃⊬7F1)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7447,"operation_count":3,"complexity_ratio":2482.3333333333335,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2413,"base":16},"right_expr":{"type":"numeric_atoms","value":1766,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2033,"base":16}}},"used_operators":["TpPTUOHfaN","KYD54nUTWz","Tw270M8GLb"],"dependent_operators":["AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2413","layer":2},{"info":"number node, value=1766","layer":2},{"info":"compute binary expreesion, left_input=2413, right_input=1766, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2033","layer":2},{"info":"compute unary expreesion, input=2033, 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 = 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":16,"result_base":16,"text":"(∃⊬96D⫥∨⫟∃⊬6E6)+⇶⊼(⨰⫟⨤∃⊬7F1)=NaN","reverse_text":"NaN=(∃⊬96D⫥∨⫟∃⊬6E6)+⇶⊼(⨰⫟⨤∃⊬7F1)","cot":[{"info":"∃⊬96D⫥∨⫟∃⊬6E6=NaN","layer":1},{"info":"⨰⫟⨤∃⊬7F1=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
+{"id":398,"expression_no_base_symbol":"($2066$⋥≓≎$4806$)⩷∴(≤/$2376$)","expression":"(∃⊬812⋥≓≎∃⊬12C6)⩷∴(≤/∃⊬948)","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":2066,"base":16},"right_expr":{"type":"numeric_atoms","value":4806,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2376,"base":16}}},"used_operators":["9FxExcQeMw","Qy55tPpLXF","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬49DE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2066","layer":2},{"info":"number node, value=4806","layer":2},{"info":"compute binary expreesion, left_input=2066, right_input=4806, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7579","layer":1},{"info":"number node, value=2376","layer":2},{"info":"compute unary expreesion, input=2376, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1892","layer":1},{"info":"compute binary expreesion, left_input=7579, right_input=-1892, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=18910","layer":0}],"base":16,"result_base":16,"text":"(∃⊬812⋥≓≎∃⊬12C6)⩷∴(≤/∃⊬948)=∃⊬49DE","reverse_text":"∃⊬49DE=(∃⊬812⋥≓≎∃⊬12C6)⩷∴(≤/∃⊬948)","cot":[{"info":"∃⊬812⋥≓≎∃⊬12C6=∃⊬1D9B","layer":1},{"info":"≤/∃⊬948=∃⊬-764","layer":1},{"info":"∃⊬1D9B⩷∴∃⊬-764=∃⊬49DE","layer":0}]}
+{"id":399,"expression_no_base_symbol":"($1430$⪄$1361$)⩚⊴⇥($2916$⩠)","expression":"(∃⊬596⪄∃⊬551)⩚⊴⇥(∃⊬B64⩠)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":116,"operation_count":3,"complexity_ratio":38.666666666666664,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1430,"base":16},"right_expr":{"type":"numeric_atoms","value":1361,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2916,"base":16}}},"used_operators":["NTOWxs364D","SUmda5xLS4","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"∃⊬3403C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1430","layer":2},{"info":"number node, value=1361","layer":2},{"info":"compute binary expreesion, left_input=1430, right_input=1361, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-213173","layer":1},{"info":"number node, value=2916","layer":2},{"info":"compute unary expreesion, input=2916, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-213173, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=213052","layer":0}],"base":16,"result_base":16,"text":"(∃⊬596⪄∃⊬551)⩚⊴⇥(∃⊬B64⩠)=∃⊬3403C","reverse_text":"∃⊬3403C=(∃⊬596⪄∃⊬551)⩚⊴⇥(∃⊬B64⩠)","cot":[{"info":"∃⊬596⪄∃⊬551=∃⊬-340B5","layer":1},{"info":"∃⊬B64⩠=∃⊬0","layer":1},{"info":"∃⊬-340B5⩚⊴⇥∃⊬0=∃⊬3403C","layer":0}]}
+{"id":400,"expression_no_base_symbol":"($4248$⨵⪆$5181$)%$5241$⨟⋌⩍$1556$","expression":"(∃⊬1098⨵⪆∃⊬143D)%∃⊬1479⨟⋌⩍∃⊬614","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":4248,"base":16},"right_expr":{"type":"numeric_atoms","value":5181,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5241,"base":16},"right_expr":{"type":"numeric_atoms","value":1556,"base":16}}},"used_operators":["k8jYdgA6NY","2DQ55sFlQl","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4248","layer":2},{"info":"number node, value=5181","layer":2},{"info":"compute binary expreesion, left_input=4248, right_input=5181, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5241","layer":2},{"info":"number node, value=1556","layer":2},{"info":"compute binary expreesion, left_input=5241, right_input=1556, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1098⨵⪆∃⊬143D)%∃⊬1479⨟⋌⩍∃⊬614=NaN","reverse_text":"NaN=(∃⊬1098⨵⪆∃⊬143D)%∃⊬1479⨟⋌⩍∃⊬614","cot":[{"info":"∃⊬1098⨵⪆∃⊬143D=∃⊬A0","layer":1},{"info":"∃⊬1479⨟⋌⩍∃⊬614=NaN","layer":1},{"info":"∃⊬A0%NaN=NaN","layer":0}]}
+{"id":401,"expression_no_base_symbol":"($3066$⨓$1249$)⨪↰⇹($1452$↙$2480$)","expression":"(∃⊬BFA⨓∃⊬4E1)⨪↰⇹(∃⊬5AC↙∃⊬9B0)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4990,"operation_count":3,"complexity_ratio":1663.3333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3066,"base":16},"right_expr":{"type":"numeric_atoms","value":1249,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1452,"base":16},"right_expr":{"type":"numeric_atoms","value":2480,"base":16}}},"used_operators":["tmPS8pqC7x","3ViojmjbAp","yyfyN0ffXY"],"dependent_operators":["rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬-4E4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3066","layer":2},{"info":"number node, value=1249","layer":2},{"info":"compute binary expreesion, left_input=3066, right_input=1249, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1252","layer":1},{"info":"number node, value=1452","layer":2},{"info":"number node, value=2480","layer":2},{"info":"compute binary expreesion, left_input=1452, right_input=2480, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7440","layer":1},{"info":"compute binary expreesion, left_input=-1252, right_input=-7440, 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=-1252","layer":0}],"base":16,"result_base":16,"text":"(∃⊬BFA⨓∃⊬4E1)⨪↰⇹(∃⊬5AC↙∃⊬9B0)=∃⊬-4E4","reverse_text":"∃⊬-4E4=(∃⊬BFA⨓∃⊬4E1)⨪↰⇹(∃⊬5AC↙∃⊬9B0)","cot":[{"info":"∃⊬BFA⨓∃⊬4E1=∃⊬-4E4","layer":1},{"info":"∃⊬5AC↙∃⊬9B0=∃⊬-1D10","layer":1},{"info":"∃⊬-4E4⨪↰⇹∃⊬-1D10=∃⊬-4E4","layer":0}]}
+{"id":402,"expression_no_base_symbol":"($2907$⋳⪒$4479$)∀⇚≩($6048$⫡⨏$1042$)","expression":"(∃⊬B5B⋳⪒∃⊬117F)∀⇚≩(∃⊬17A0⫡⨏∃⊬412)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7350,"operation_count":3,"complexity_ratio":2450.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2907,"base":16},"right_expr":{"type":"numeric_atoms","value":4479,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6048,"base":16},"right_expr":{"type":"numeric_atoms","value":1042,"base":16}}},"used_operators":["LRNGc0VcxI","12rbrZMWeM","QMFrweE19q"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2907","layer":2},{"info":"number node, value=4479","layer":2},{"info":"compute binary expreesion, left_input=2907, right_input=4479, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1048","layer":1},{"info":"number node, value=6048","layer":2},{"info":"number node, value=1042","layer":2},{"info":"compute binary expreesion, left_input=6048, right_input=1042, 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=33107","layer":1},{"info":"compute binary expreesion, left_input=1048, right_input=33107, 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":16,"result_base":16,"text":"(∃⊬B5B⋳⪒∃⊬117F)∀⇚≩(∃⊬17A0⫡⨏∃⊬412)=NaN","reverse_text":"NaN=(∃⊬B5B⋳⪒∃⊬117F)∀⇚≩(∃⊬17A0⫡⨏∃⊬412)","cot":[{"info":"∃⊬B5B⋳⪒∃⊬117F=∃⊬418","layer":1},{"info":"∃⊬17A0⫡⨏∃⊬412=∃⊬8153","layer":1},{"info":"∃⊬418∀⇚≩∃⊬8153=NaN","layer":0}]}
+{"id":403,"expression_no_base_symbol":"↥($3881$+$1218$)","expression":"↥(∃⊬F29+∃⊬4C2)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":100,"operation_count":2,"complexity_ratio":50.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3881,"base":16},"right_expr":{"type":"numeric_atoms","value":1218,"base":16}}},"used_operators":["A8NUZmVepG","W4YGzv6Whe"],"dependent_operators":["k8jYdgA6NY"],"result":"∃⊬32","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3881","layer":2},{"info":"number node, value=1218","layer":2},{"info":"compute binary expreesion, left_input=3881, right_input=1218, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5099","layer":1},{"info":"compute unary expreesion, input=5099, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":0}],"base":16,"result_base":16,"text":"↥(∃⊬F29+∃⊬4C2)=∃⊬32","reverse_text":"∃⊬32=↥(∃⊬F29+∃⊬4C2)","cot":[{"info":"∃⊬F29+∃⊬4C2=∃⊬13EB","layer":1},{"info":"↥∃⊬13EB=∃⊬32","layer":0}]}
+{"id":404,"expression_no_base_symbol":"↔($1215$⨰$4064$)","expression":"↔(∃⊬4BF⨰∃⊬FE0)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1215,"base":16},"right_expr":{"type":"numeric_atoms","value":4064,"base":16}}},"used_operators":["ruOEQAzv1W","eewbuw0ToL"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-86","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":2},{"info":"number node, value=4064","layer":2},{"info":"compute binary expreesion, left_input=1215, right_input=4064, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2839","layer":1},{"info":"compute unary expreesion, input=-2839, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":16,"result_base":16,"text":"↔(∃⊬4BF⨰∃⊬FE0)=∃⊬-86","reverse_text":"∃⊬-86=↔(∃⊬4BF⨰∃⊬FE0)","cot":[{"info":"∃⊬4BF⨰∃⊬FE0=∃⊬-B17","layer":1},{"info":"↔∃⊬-B17=∃⊬-86","layer":0}]}
+{"id":405,"expression_no_base_symbol":"($1630$⪨≂$2118$)⊭↱($6852$⨸⪁$5744$)","expression":"(∃⊬65E⪨≂∃⊬846)⊭↱(∃⊬1AC4⨸⪁∃⊬1670)","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":1630,"base":16},"right_expr":{"type":"numeric_atoms","value":2118,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6852,"base":16},"right_expr":{"type":"numeric_atoms","value":5744,"base":16}}},"used_operators":["COABgblf1C","sdazOOVcIp","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬CBA9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1630","layer":2},{"info":"number node, value=2118","layer":2},{"info":"compute binary expreesion, left_input=1630, right_input=2118, 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=-874","layer":1},{"info":"number node, value=6852","layer":2},{"info":"number node, value=5744","layer":2},{"info":"compute binary expreesion, left_input=6852, right_input=5744, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=25192","layer":1},{"info":"compute binary expreesion, left_input=-874, right_input=25192, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=52137","layer":0}],"base":16,"result_base":16,"text":"(∃⊬65E⪨≂∃⊬846)⊭↱(∃⊬1AC4⨸⪁∃⊬1670)=∃⊬CBA9","reverse_text":"∃⊬CBA9=(∃⊬65E⪨≂∃⊬846)⊭↱(∃⊬1AC4⨸⪁∃⊬1670)","cot":[{"info":"∃⊬65E⪨≂∃⊬846=∃⊬-36A","layer":1},{"info":"∃⊬1AC4⨸⪁∃⊬1670=∃⊬6268","layer":1},{"info":"∃⊬-36A⊭↱∃⊬6268=∃⊬CBA9","layer":0}]}
+{"id":406,"expression_no_base_symbol":"($6993$⋥≓≎$7785$)⩠","expression":"(∃⊬1B51⋥≓≎∃⊬1E69)⩠","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":6993,"base":16},"right_expr":{"type":"numeric_atoms","value":7785,"base":16}}},"used_operators":["sJAwomhLZr","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6993","layer":2},{"info":"number node, value=7785","layer":2},{"info":"compute binary expreesion, left_input=6993, right_input=7785, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8610","layer":1},{"info":"compute unary expreesion, input=8610, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1B51⋥≓≎∃⊬1E69)⩠=∃⊬0","reverse_text":"∃⊬0=(∃⊬1B51⋥≓≎∃⊬1E69)⩠","cot":[{"info":"∃⊬1B51⋥≓≎∃⊬1E69=∃⊬21A2","layer":1},{"info":"∃⊬21A2⩠=∃⊬0","layer":0}]}
+{"id":407,"expression_no_base_symbol":"$1330$↙$1468$⪄$2548$⨳⩥⨓$1145$","expression":"∃⊬532↙∃⊬5BC⪄∃⊬9F4⨳⩥⨓∃⊬479","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1566,"operation_count":3,"complexity_ratio":522.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1330,"base":16},"right_expr":{"type":"numeric_atoms","value":1468,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2548,"base":16},"right_expr":{"type":"numeric_atoms","value":1145,"base":16}}},"used_operators":["SUmda5xLS4","yyfyN0ffXY","nCS4ZIUYfx"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1330","layer":2},{"info":"number node, value=1468","layer":2},{"info":"compute binary expreesion, left_input=1330, right_input=1468, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4404","layer":1},{"info":"number node, value=2548","layer":2},{"info":"number node, value=1145","layer":2},{"info":"compute binary expreesion, left_input=2548, right_input=1145, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1403","layer":1},{"info":"compute binary expreesion, left_input=-4404, right_input=-1403, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":16,"result_base":16,"text":"∃⊬532↙∃⊬5BC⪄∃⊬9F4⨳⩥⨓∃⊬479=∃⊬F8B","reverse_text":"∃⊬F8B=∃⊬532↙∃⊬5BC⪄∃⊬9F4⨳⩥⨓∃⊬479","cot":[{"info":"∃⊬532↙∃⊬5BC=∃⊬-1134","layer":1},{"info":"∃⊬9F4⨳⩥⨓∃⊬479=∃⊬-57B","layer":1},{"info":"∃⊬-1134⪄∃⊬-57B=∃⊬F8B","layer":0}]}
+{"id":408,"expression_no_base_symbol":"(⊥$2560$)⨸⪁($5937$%$4124$)","expression":"(⊥∃⊬A00)⨸⪁(∃⊬1731%∃⊬101C)","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":2560,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5937,"base":16},"right_expr":{"type":"numeric_atoms","value":4124,"base":16}}},"used_operators":["g55IO6H4Gj","Q3PJZHRvZv","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","fu6greOZ01","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2560","layer":2},{"info":"compute unary expreesion, input=2560, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=5937","layer":2},{"info":"number node, value=4124","layer":2},{"info":"compute binary expreesion, left_input=5937, right_input=4124, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1813","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1813, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊥∃⊬A00)⨸⪁(∃⊬1731%∃⊬101C)=NaN","reverse_text":"NaN=(⊥∃⊬A00)⨸⪁(∃⊬1731%∃⊬101C)","cot":[{"info":"⊥∃⊬A00=NaN","layer":1},{"info":"∃⊬1731%∃⊬101C=∃⊬715","layer":1},{"info":"NaN⨸⪁∃⊬715=NaN","layer":0}]}
+{"id":409,"expression_no_base_symbol":"(∥⊫$4895$)⩨(∥⊫$3709$)","expression":"(∥⊫∃⊬131F)⩨(∥⊫∃⊬E7D)","highest_n_order":2,"priority_hierarchical_complexity":2,"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":4895,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3709,"base":16}}},"used_operators":["2DlMacCsIx","P8v4zCKN1o"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4895","layer":2},{"info":"compute unary expreesion, input=4895, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5763","layer":1},{"info":"number node, value=3709","layer":2},{"info":"compute unary expreesion, input=3709, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4577","layer":1},{"info":"compute binary expreesion, left_input=5763, right_input=4577, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∥⊫∃⊬131F)⩨(∥⊫∃⊬E7D)=∃⊬0","reverse_text":"∃⊬0=(∥⊫∃⊬131F)⩨(∥⊫∃⊬E7D)","cot":[{"info":"∥⊫∃⊬131F=∃⊬1683","layer":1},{"info":"∥⊫∃⊬E7D=∃⊬11E1","layer":1},{"info":"∃⊬1683⩨∃⊬11E1=∃⊬0","layer":0}]}
+{"id":410,"expression_no_base_symbol":"≤/$2401$⨐⩸⫘$1223$","expression":"≤/∃⊬961⨐⩸⫘∃⊬4C7","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":2401,"base":16},"right_expr":{"type":"numeric_atoms","value":1223,"base":16}}},"used_operators":["eLAdDNolq6","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2401","layer":2},{"info":"number node, value=1223","layer":2},{"info":"compute binary expreesion, left_input=2401, right_input=1223, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≤/∃⊬961⨐⩸⫘∃⊬4C7=NaN","reverse_text":"NaN=≤/∃⊬961⨐⩸⫘∃⊬4C7","cot":[{"info":"∃⊬961⨐⩸⫘∃⊬4C7=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
+{"id":411,"expression_no_base_symbol":"(⊙↵-$1445$)*(⪝⪂⫅$3284$)","expression":"(⊙↵-∃⊬5A5)*(⪝⪂⫅∃⊬CD4)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1642,"operation_count":3,"complexity_ratio":547.3333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1445,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3284,"base":16}}},"used_operators":["9HNa5Wba9A","oWn0xqSxBt","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp"],"result":"∃⊬75DBC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":2},{"info":"compute unary expreesion, input=1445, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=3284","layer":2},{"info":"compute unary expreesion, input=3284, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-482748","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-482748, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=482748","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-∃⊬5A5)*(⪝⪂⫅∃⊬CD4)=∃⊬75DBC","reverse_text":"∃⊬75DBC=(⊙↵-∃⊬5A5)*(⪝⪂⫅∃⊬CD4)","cot":[{"info":"⊙↵-∃⊬5A5=∃⊬-1","layer":1},{"info":"⪝⪂⫅∃⊬CD4=∃⊬-75DBC","layer":1},{"info":"∃⊬-1*∃⊬-75DBC=∃⊬75DBC","layer":0}]}
+{"id":412,"expression_no_base_symbol":"$6363$⋓$1936$≧⫂∧(-$5531$)","expression":"∃⊬18DB⋓∃⊬790≧⫂∧(-∃⊬159B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6363,"base":16},"right_expr":{"type":"numeric_atoms","value":1936,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5531,"base":16}}},"used_operators":["Ph9nP6C5qx","T2fj7uvVaJ","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬159B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6363","layer":2},{"info":"number node, value=1936","layer":2},{"info":"compute binary expreesion, left_input=6363, right_input=1936, 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=5531","layer":2},{"info":"compute unary expreesion, input=5531, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5531","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5531, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5531","layer":0}],"base":16,"result_base":16,"text":"∃⊬18DB⋓∃⊬790≧⫂∧(-∃⊬159B)=∃⊬159B","reverse_text":"∃⊬159B=∃⊬18DB⋓∃⊬790≧⫂∧(-∃⊬159B)","cot":[{"info":"∃⊬18DB⋓∃⊬790=∃⊬0","layer":1},{"info":"-∃⊬159B=∃⊬-159B","layer":1},{"info":"∃⊬0≧⫂∧∃⊬-159B=∃⊬159B","layer":0}]}
+{"id":413,"expression_no_base_symbol":"($1086$⫩⊇)↺($4683$⩤)","expression":"(∃⊬43E⫩⊇)↺(∃⊬124B⩤)","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":1086,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4683,"base":16}}},"used_operators":["7j4O788W3g","BjRHVeLaeN","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-124B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":2},{"info":"compute unary expreesion, input=1086, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1044","layer":1},{"info":"number node, value=4683","layer":2},{"info":"compute unary expreesion, input=4683, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4683","layer":1},{"info":"compute binary expreesion, left_input=-1044, right_input=-4683, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4683","layer":0}],"base":16,"result_base":16,"text":"(∃⊬43E⫩⊇)↺(∃⊬124B⩤)=∃⊬-124B","reverse_text":"∃⊬-124B=(∃⊬43E⫩⊇)↺(∃⊬124B⩤)","cot":[{"info":"∃⊬43E⫩⊇=∃⊬-414","layer":1},{"info":"∃⊬124B⩤=∃⊬-124B","layer":1},{"info":"∃⊬-414↺∃⊬-124B=∃⊬-124B","layer":0}]}
+{"id":414,"expression_no_base_symbol":"(⨞⊢$5696$)≹⇙⪍($4239$⪮%⊝$2658$)","expression":"(⨞⊢∃⊬1640)≹⇙⪍(∃⊬108F⪮%⊝∃⊬A62)","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":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5696,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4239,"base":16},"right_expr":{"type":"numeric_atoms","value":2658,"base":16}}},"used_operators":["AHs5Up7iyr","xUOZtlo3hN","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5696","layer":2},{"info":"compute unary expreesion, input=5696, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5870","layer":1},{"info":"number node, value=4239","layer":2},{"info":"number node, value=2658","layer":2},{"info":"compute binary expreesion, left_input=4239, right_input=2658, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8794","layer":1},{"info":"compute binary expreesion, left_input=-5870, right_input=8794, 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":16,"result_base":16,"text":"(⨞⊢∃⊬1640)≹⇙⪍(∃⊬108F⪮%⊝∃⊬A62)=NaN","reverse_text":"NaN=(⨞⊢∃⊬1640)≹⇙⪍(∃⊬108F⪮%⊝∃⊬A62)","cot":[{"info":"⨞⊢∃⊬1640=∃⊬-16EE","layer":1},{"info":"∃⊬108F⪮%⊝∃⊬A62=∃⊬225A","layer":1},{"info":"∃⊬-16EE≹⇙⪍∃⊬225A=NaN","layer":0}]}
+{"id":415,"expression_no_base_symbol":"$2462$↺$1814$∲⫓$1382$-$1340$","expression":"∃⊬99E↺∃⊬716∲⫓∃⊬566-∃⊬53C","highest_n_order":1,"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":2462,"base":16},"right_expr":{"type":"numeric_atoms","value":1814,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1382,"base":16},"right_expr":{"type":"numeric_atoms","value":1340,"base":16}}},"used_operators":["i8ToyICDmI","7j4O788W3g","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬716","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2462","layer":2},{"info":"number node, value=1814","layer":2},{"info":"compute binary expreesion, left_input=2462, right_input=1814, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1814","layer":1},{"info":"number node, value=1382","layer":2},{"info":"number node, value=1340","layer":2},{"info":"compute binary expreesion, left_input=1382, right_input=1340, op_id = rysDP5nf3Z binary_op_definition= 'None', output=42","layer":1},{"info":"compute binary expreesion, left_input=1814, right_input=42, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1814","layer":0}],"base":16,"result_base":16,"text":"∃⊬99E↺∃⊬716∲⫓∃⊬566-∃⊬53C=∃⊬716","reverse_text":"∃⊬716=∃⊬99E↺∃⊬716∲⫓∃⊬566-∃⊬53C","cot":[{"info":"∃⊬99E↺∃⊬716=∃⊬716","layer":1},{"info":"∃⊬566-∃⊬53C=∃⊬2A","layer":1},{"info":"∃⊬716∲⫓∃⊬2A=∃⊬716","layer":0}]}
+{"id":416,"expression_no_base_symbol":"($1612$⫸⊐$1480$)⨳⩥⨓$1138$⨽$2423$","expression":"(∃⊬64C⫸⊐∃⊬5C8)⨳⩥⨓∃⊬472⨽∃⊬977","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1174,"operation_count":3,"complexity_ratio":391.3333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1612,"base":16},"right_expr":{"type":"numeric_atoms","value":1480,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1138,"base":16},"right_expr":{"type":"numeric_atoms","value":2423,"base":16}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬-3B7632","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1612","layer":2},{"info":"number node, value=1480","layer":2},{"info":"compute binary expreesion, left_input=1612, right_input=1480, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5795","layer":1},{"info":"number node, value=1138","layer":2},{"info":"number node, value=2423","layer":2},{"info":"compute binary expreesion, left_input=1138, right_input=2423, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3891087","layer":1},{"info":"compute binary expreesion, left_input=5795, right_input=-3891087, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3896882","layer":0}],"base":16,"result_base":16,"text":"(∃⊬64C⫸⊐∃⊬5C8)⨳⩥⨓∃⊬472⨽∃⊬977=∃⊬-3B7632","reverse_text":"∃⊬-3B7632=(∃⊬64C⫸⊐∃⊬5C8)⨳⩥⨓∃⊬472⨽∃⊬977","cot":[{"info":"∃⊬64C⫸⊐∃⊬5C8=∃⊬16A3","layer":1},{"info":"∃⊬472⨽∃⊬977=∃⊬-3B5F8F","layer":1},{"info":"∃⊬16A3⨳⩥⨓∃⊬-3B5F8F=∃⊬-3B7632","layer":0}]}
+{"id":417,"expression_no_base_symbol":"($2391$⫸⊐$1759$)⩷∴(⇁⨣⪵$4039$)","expression":"(∃⊬957⫸⊐∃⊬6DF)⩷∴(⇁⨣⪵∃⊬FC7)","highest_n_order":5,"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":2391,"base":16},"right_expr":{"type":"numeric_atoms","value":1759,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4039,"base":16}}},"used_operators":["9FxExcQeMw","mqXw5SEYmG","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2391","layer":2},{"info":"number node, value=1759","layer":2},{"info":"compute binary expreesion, left_input=2391, right_input=1759, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6911","layer":1},{"info":"number node, value=4039","layer":2},{"info":"compute unary expreesion, input=4039, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6911, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬957⫸⊐∃⊬6DF)⩷∴(⇁⨣⪵∃⊬FC7)=NaN","reverse_text":"NaN=(∃⊬957⫸⊐∃⊬6DF)⩷∴(⇁⨣⪵∃⊬FC7)","cot":[{"info":"∃⊬957⫸⊐∃⊬6DF=∃⊬1AFF","layer":1},{"info":"⇁⨣⪵∃⊬FC7=NaN","layer":1},{"info":"∃⊬1AFF⩷∴NaN=NaN","layer":0}]}
+{"id":418,"expression_no_base_symbol":"($1232$-$4004$)↙($3388$≋⫹)","expression":"(∃⊬4D0-∃⊬FA4)↙(∃⊬D3C≋⫹)","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":1232,"base":16},"right_expr":{"type":"numeric_atoms","value":4004,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3388,"base":16}}},"used_operators":["yyfyN0ffXY","rysDP5nf3Z","N41Kp7NANJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-AD4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":2},{"info":"number node, value=4004","layer":2},{"info":"compute binary expreesion, left_input=1232, right_input=4004, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2772","layer":1},{"info":"number node, value=3388","layer":2},{"info":"compute unary expreesion, input=3388, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6776","layer":1},{"info":"compute binary expreesion, left_input=-2772, right_input=-6776, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2772","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4D0-∃⊬FA4)↙(∃⊬D3C≋⫹)=∃⊬-AD4","reverse_text":"∃⊬-AD4=(∃⊬4D0-∃⊬FA4)↙(∃⊬D3C≋⫹)","cot":[{"info":"∃⊬4D0-∃⊬FA4=∃⊬-AD4","layer":1},{"info":"∃⊬D3C≋⫹=∃⊬-1A78","layer":1},{"info":"∃⊬-AD4↙∃⊬-1A78=∃⊬-AD4","layer":0}]}
+{"id":419,"expression_no_base_symbol":"$3298$⋳⪒$1344$⩨(∥⊫$2021$)","expression":"∃⊬CE2⋳⪒∃⊬540⩨(∥⊫∃⊬7E5)","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":3298,"base":16},"right_expr":{"type":"numeric_atoms","value":1344,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2021,"base":16}}},"used_operators":["2DlMacCsIx","12rbrZMWeM","P8v4zCKN1o"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3298","layer":2},{"info":"number node, value=1344","layer":2},{"info":"compute binary expreesion, left_input=3298, right_input=1344, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4965","layer":1},{"info":"number node, value=2021","layer":2},{"info":"compute unary expreesion, input=2021, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2889","layer":1},{"info":"compute binary expreesion, left_input=4965, right_input=2889, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬CE2⋳⪒∃⊬540⩨(∥⊫∃⊬7E5)=∃⊬0","reverse_text":"∃⊬0=∃⊬CE2⋳⪒∃⊬540⩨(∥⊫∃⊬7E5)","cot":[{"info":"∃⊬CE2⋳⪒∃⊬540=∃⊬1365","layer":1},{"info":"∥⊫∃⊬7E5=∃⊬B49","layer":1},{"info":"∃⊬1365⩨∃⊬B49=∃⊬0","layer":0}]}
+{"id":420,"expression_no_base_symbol":"(⨵≀≌$1576$)≧⫂∧$1020$∑⇟⊟$5479$","expression":"(⨵≀≌∃⊬628)≧⫂∧∃⊬3FC∑⇟⊟∃⊬1567","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":1576,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1020,"base":16},"right_expr":{"type":"numeric_atoms","value":5479,"base":16}}},"used_operators":["Ph9nP6C5qx","srAu1WTS94","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1576","layer":2},{"info":"compute unary expreesion, input=1576, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4728","layer":1},{"info":"number node, value=1020","layer":2},{"info":"number node, value=5479","layer":2},{"info":"compute binary expreesion, left_input=1020, right_input=5479, 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=-4728, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨵≀≌∃⊬628)≧⫂∧∃⊬3FC∑⇟⊟∃⊬1567=NaN","reverse_text":"NaN=(⨵≀≌∃⊬628)≧⫂∧∃⊬3FC∑⇟⊟∃⊬1567","cot":[{"info":"⨵≀≌∃⊬628=∃⊬-1278","layer":1},{"info":"∃⊬3FC∑⇟⊟∃⊬1567=NaN","layer":1},{"info":"∃⊬-1278≧⫂∧NaN=NaN","layer":0}]}
+{"id":421,"expression_no_base_symbol":"+⊝⨔(∂$1904$)","expression":"+⊝⨔(∂∃⊬770)","highest_n_order":5,"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":1904,"base":16}}},"used_operators":["DhbWaqg5eL","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1904","layer":2},{"info":"compute unary expreesion, input=1904, 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 = 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":16,"result_base":16,"text":"+⊝⨔(∂∃⊬770)=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(∂∃⊬770)","cot":[{"info":"∂∃⊬770=NaN","layer":1},{"info":"+⊝⨔NaN=∃⊬5F2","layer":0}]}
+{"id":422,"expression_no_base_symbol":"($5497$%$3564$)-$1791$⪮%⊝$1972$","expression":"(∃⊬1579%∃⊬DEC)-∃⊬6FF⪮%⊝∃⊬7B4","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":5497,"base":16},"right_expr":{"type":"numeric_atoms","value":3564,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1791,"base":16},"right_expr":{"type":"numeric_atoms","value":1972,"base":16}}},"used_operators":["rysDP5nf3Z","k8jYdgA6NY","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬-7AD","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5497","layer":2},{"info":"number node, value=3564","layer":2},{"info":"compute binary expreesion, left_input=5497, right_input=3564, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1933","layer":1},{"info":"number node, value=1791","layer":2},{"info":"number node, value=1972","layer":2},{"info":"compute binary expreesion, left_input=1791, right_input=1972, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3898","layer":1},{"info":"compute binary expreesion, left_input=1933, right_input=3898, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1965","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1579%∃⊬DEC)-∃⊬6FF⪮%⊝∃⊬7B4=∃⊬-7AD","reverse_text":"∃⊬-7AD=(∃⊬1579%∃⊬DEC)-∃⊬6FF⪮%⊝∃⊬7B4","cot":[{"info":"∃⊬1579%∃⊬DEC=∃⊬78D","layer":1},{"info":"∃⊬6FF⪮%⊝∃⊬7B4=∃⊬F3A","layer":1},{"info":"∃⊬78D-∃⊬F3A=∃⊬-7AD","layer":0}]}
+{"id":423,"expression_no_base_symbol":"(≤/$2431$)↺($7722$*$1020$)","expression":"(≤/∃⊬97F)↺(∃⊬1E2A*∃⊬3FC)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1023,"operation_count":3,"complexity_ratio":341.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2431,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7722,"base":16},"right_expr":{"type":"numeric_atoms","value":1020,"base":16}}},"used_operators":["7j4O788W3g","eLAdDNolq6","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"∃⊬782F58","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2431","layer":2},{"info":"compute unary expreesion, input=2431, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1947","layer":1},{"info":"number node, value=7722","layer":2},{"info":"number node, value=1020","layer":2},{"info":"compute binary expreesion, left_input=7722, right_input=1020, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7876440","layer":1},{"info":"compute binary expreesion, left_input=-1947, right_input=7876440, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7876440","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬97F)↺(∃⊬1E2A*∃⊬3FC)=∃⊬782F58","reverse_text":"∃⊬782F58=(≤/∃⊬97F)↺(∃⊬1E2A*∃⊬3FC)","cot":[{"info":"≤/∃⊬97F=∃⊬-79B","layer":1},{"info":"∃⊬1E2A*∃⊬3FC=∃⊬782F58","layer":1},{"info":"∃⊬-79B↺∃⊬782F58=∃⊬782F58","layer":0}]}
+{"id":424,"expression_no_base_symbol":"⋗⩬⋾(∥⊫$3718$)","expression":"⋗⩬⋾(∥⊫∃⊬E86)","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":3718,"base":16}}},"used_operators":["DpFCA1CohY","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-35BE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3718","layer":2},{"info":"compute unary expreesion, input=3718, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4586","layer":1},{"info":"compute unary expreesion, input=4586, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13758","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾(∥⊫∃⊬E86)=∃⊬-35BE","reverse_text":"∃⊬-35BE=⋗⩬⋾(∥⊫∃⊬E86)","cot":[{"info":"∥⊫∃⊬E86=∃⊬11EA","layer":1},{"info":"⋗⩬⋾∃⊬11EA=∃⊬-35BE","layer":0}]}
+{"id":425,"expression_no_base_symbol":"($7194$⋫)/$2071$∲⫓$1391$","expression":"(∃⊬1C1A⋫)/∃⊬817∲⫓∃⊬56F","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7197,"operation_count":3,"complexity_ratio":2399.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7194,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2071,"base":16},"right_expr":{"type":"numeric_atoms","value":1391,"base":16}}},"used_operators":["XhwjNDsVaA","JL8yIekQnl","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7194","layer":2},{"info":"compute unary expreesion, input=7194, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7194","layer":1},{"info":"number node, value=2071","layer":2},{"info":"number node, value=1391","layer":2},{"info":"compute binary expreesion, left_input=2071, right_input=1391, 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=7194, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1C1A⋫)/∃⊬817∲⫓∃⊬56F=NaN","reverse_text":"NaN=(∃⊬1C1A⋫)/∃⊬817∲⫓∃⊬56F","cot":[{"info":"∃⊬1C1A⋫=∃⊬1C1A","layer":1},{"info":"∃⊬817∲⫓∃⊬56F=∃⊬0","layer":1},{"info":"∃⊬1C1A/∃⊬0=NaN","layer":0}]}
+{"id":426,"expression_no_base_symbol":"$2845$⊴$5624$⋳⪒(⫛⫱⨽$1875$)","expression":"∃⊬B1D⊴∃⊬15F8⋳⪒(⫛⫱⨽∃⊬753)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7059,"operation_count":3,"complexity_ratio":2353.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2845,"base":16},"right_expr":{"type":"numeric_atoms","value":5624,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1875,"base":16}}},"used_operators":["12rbrZMWeM","Nsiff2A1zJ","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2845","layer":2},{"info":"number node, value=5624","layer":2},{"info":"compute binary expreesion, left_input=2845, right_input=5624, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1875","layer":2},{"info":"compute unary expreesion, input=1875, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬B1D⊴∃⊬15F8⋳⪒(⫛⫱⨽∃⊬753)=NaN","reverse_text":"NaN=∃⊬B1D⊴∃⊬15F8⋳⪒(⫛⫱⨽∃⊬753)","cot":[{"info":"∃⊬B1D⊴∃⊬15F8=NaN","layer":1},{"info":"⫛⫱⨽∃⊬753=∃⊬0","layer":1},{"info":"NaN⋳⪒∃⊬0=NaN","layer":0}]}
+{"id":427,"expression_no_base_symbol":"($1024$+$1954$)⫥∨⫟$2246$≧⫂∧$1268$","expression":"(∃⊬400+∃⊬7A2)⫥∨⫟∃⊬8C6≧⫂∧∃⊬4F4","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":1024,"base":16},"right_expr":{"type":"numeric_atoms","value":1954,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2246,"base":16},"right_expr":{"type":"numeric_atoms","value":1268,"base":16}}},"used_operators":["KYD54nUTWz","W4YGzv6Whe","Ph9nP6C5qx"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1024","layer":2},{"info":"number node, value=1954","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=1954, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2978","layer":1},{"info":"number node, value=2246","layer":2},{"info":"number node, value=1268","layer":2},{"info":"compute binary expreesion, left_input=2246, right_input=1268, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=795","layer":1},{"info":"compute binary expreesion, left_input=2978, right_input=795, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬400+∃⊬7A2)⫥∨⫟∃⊬8C6≧⫂∧∃⊬4F4=NaN","reverse_text":"NaN=(∃⊬400+∃⊬7A2)⫥∨⫟∃⊬8C6≧⫂∧∃⊬4F4","cot":[{"info":"∃⊬400+∃⊬7A2=∃⊬BA2","layer":1},{"info":"∃⊬8C6≧⫂∧∃⊬4F4=∃⊬31B","layer":1},{"info":"∃⊬BA2⫥∨⫟∃⊬31B=NaN","layer":0}]}
+{"id":428,"expression_no_base_symbol":"$2576$⫸⊐$8616$∲⫓($2921$⊘)","expression":"∃⊬A10⫸⊐∃⊬21A8∲⫓(∃⊬B69⊘)","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":2576,"base":16},"right_expr":{"type":"numeric_atoms","value":8616,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2921,"base":16}}},"used_operators":["i8ToyICDmI","mqXw5SEYmG","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"∃⊬8623","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2576","layer":2},{"info":"number node, value=8616","layer":2},{"info":"compute binary expreesion, left_input=2576, right_input=8616, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=34339","layer":1},{"info":"number node, value=2921","layer":2},{"info":"compute unary expreesion, input=2921, 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=34339, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=34339","layer":0}],"base":16,"result_base":16,"text":"∃⊬A10⫸⊐∃⊬21A8∲⫓(∃⊬B69⊘)=∃⊬8623","reverse_text":"∃⊬8623=∃⊬A10⫸⊐∃⊬21A8∲⫓(∃⊬B69⊘)","cot":[{"info":"∃⊬A10⫸⊐∃⊬21A8=∃⊬8623","layer":1},{"info":"∃⊬B69⊘=∃⊬0","layer":1},{"info":"∃⊬8623∲⫓∃⊬0=∃⊬8623","layer":0}]}
+{"id":429,"expression_no_base_symbol":"$2550$∀⇚≩$2199$-(+⊝⨔$5921$)","expression":"∃⊬9F6∀⇚≩∃⊬897-(+⊝⨔∃⊬1721)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17891,"operation_count":3,"complexity_ratio":5963.666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2550,"base":16},"right_expr":{"type":"numeric_atoms","value":2199,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5921,"base":16}}},"used_operators":["rysDP5nf3Z","LRNGc0VcxI","DhbWaqg5eL"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2550","layer":2},{"info":"number node, value=2199","layer":2},{"info":"compute binary expreesion, left_input=2550, right_input=2199, 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=5921","layer":2},{"info":"compute unary expreesion, input=5921, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬9F6∀⇚≩∃⊬897-(+⊝⨔∃⊬1721)=NaN","reverse_text":"NaN=∃⊬9F6∀⇚≩∃⊬897-(+⊝⨔∃⊬1721)","cot":[{"info":"∃⊬9F6∀⇚≩∃⊬897=NaN","layer":1},{"info":"+⊝⨔∃⊬1721=∃⊬5F2","layer":1},{"info":"NaN-∃⊬5F2=NaN","layer":0}]}
+{"id":430,"expression_no_base_symbol":"$6114$+⇶⊼$4018$⩨(⪝⪂⫅$6068$)","expression":"∃⊬17E2+⇶⊼∃⊬FB2⩨(⪝⪂⫅∃⊬17B4)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":155,"operation_count":3,"complexity_ratio":51.666666666666664,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6114,"base":16},"right_expr":{"type":"numeric_atoms","value":4018,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6068,"base":16}}},"used_operators":["2DlMacCsIx","TpPTUOHfaN","XTarYq4gQB"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6114","layer":2},{"info":"number node, value=4018","layer":2},{"info":"compute binary expreesion, left_input=6114, right_input=4018, 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=6068","layer":2},{"info":"compute unary expreesion, input=6068, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-891996","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-891996, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬17E2+⇶⊼∃⊬FB2⩨(⪝⪂⫅∃⊬17B4)=NaN","reverse_text":"NaN=∃⊬17E2+⇶⊼∃⊬FB2⩨(⪝⪂⫅∃⊬17B4)","cot":[{"info":"∃⊬17E2+⇶⊼∃⊬FB2=NaN","layer":1},{"info":"⪝⪂⫅∃⊬17B4=∃⊬-D9C5C","layer":1},{"info":"NaN⩨∃⊬-D9C5C=NaN","layer":0}]}
+{"id":431,"expression_no_base_symbol":"($1421$⋳⪒$1433$)∑⇟⊟$1001$∼$2917$","expression":"(∃⊬58D⋳⪒∃⊬599)∑⇟⊟∃⊬3E9∼∃⊬B65","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1421,"base":16},"right_expr":{"type":"numeric_atoms","value":1433,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1001,"base":16},"right_expr":{"type":"numeric_atoms","value":2917,"base":16}}},"used_operators":["U7g4x0WXJJ","12rbrZMWeM","DyGG3AbaNP"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1421","layer":2},{"info":"number node, value=1433","layer":2},{"info":"compute binary expreesion, left_input=1421, right_input=1433, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1122","layer":1},{"info":"number node, value=1001","layer":2},{"info":"number node, value=2917","layer":2},{"info":"compute binary expreesion, left_input=1001, right_input=2917, 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=1122, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬58D⋳⪒∃⊬599)∑⇟⊟∃⊬3E9∼∃⊬B65=NaN","reverse_text":"NaN=(∃⊬58D⋳⪒∃⊬599)∑⇟⊟∃⊬3E9∼∃⊬B65","cot":[{"info":"∃⊬58D⋳⪒∃⊬599=∃⊬462","layer":1},{"info":"∃⊬3E9∼∃⊬B65=NaN","layer":1},{"info":"∃⊬462∑⇟⊟NaN=NaN","layer":0}]}
+{"id":432,"expression_no_base_symbol":"(↩$2387$)⪢$8490$⪮%⊝$2198$","expression":"(↩∃⊬953)⪢∃⊬212A⪮%⊝∃⊬896","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24866,"operation_count":3,"complexity_ratio":8288.666666666666,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2387,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8490,"base":16},"right_expr":{"type":"numeric_atoms","value":2198,"base":16}}},"used_operators":["dWAJyo7jo9","jLgFTUHLKL","IWmyXbctLI"],"dependent_operators":["k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2387","layer":2},{"info":"compute unary expreesion, input=2387, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16316","layer":1},{"info":"number node, value=8490","layer":2},{"info":"number node, value=2198","layer":2},{"info":"compute binary expreesion, left_input=8490, right_input=2198, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=17296","layer":1},{"info":"compute binary expreesion, left_input=-16316, right_input=17296, 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":16,"result_base":16,"text":"(↩∃⊬953)⪢∃⊬212A⪮%⊝∃⊬896=NaN","reverse_text":"NaN=(↩∃⊬953)⪢∃⊬212A⪮%⊝∃⊬896","cot":[{"info":"↩∃⊬953=∃⊬-3FBC","layer":1},{"info":"∃⊬212A⪮%⊝∃⊬896=∃⊬4390","layer":1},{"info":"∃⊬-3FBC⪢∃⊬4390=NaN","layer":0}]}
+{"id":433,"expression_no_base_symbol":"⋗⩬⋾(+⊝⨔$1284$)","expression":"⋗⩬⋾(+⊝⨔∃⊬504)","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":1284,"base":16}}},"used_operators":["DpFCA1CohY","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬-11D6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1284","layer":2},{"info":"compute unary expreesion, input=1284, 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":16,"result_base":16,"text":"⋗⩬⋾(+⊝⨔∃⊬504)=∃⊬-11D6","reverse_text":"∃⊬-11D6=⋗⩬⋾(+⊝⨔∃⊬504)","cot":[{"info":"+⊝⨔∃⊬504=∃⊬5F2","layer":1},{"info":"⋗⩬⋾∃⊬5F2=∃⊬-11D6","layer":0}]}
+{"id":434,"expression_no_base_symbol":"(⫛⫱⨽$4087$)⇼⇔∾$4732$⨳⩥⨓$1005$","expression":"(⫛⫱⨽∃⊬FF7)⇼⇔∾∃⊬127C⨳⩥⨓∃⊬3ED","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1427,"operation_count":3,"complexity_ratio":475.6666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4087,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4732,"base":16},"right_expr":{"type":"numeric_atoms","value":1005,"base":16}}},"used_operators":["tifHPKVTfV","DlLNRPXxWL","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬-E8F","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4087","layer":2},{"info":"compute unary expreesion, input=4087, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=4732","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=4732, right_input=1005, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3727","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3727, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3727","layer":0}],"base":16,"result_base":16,"text":"(⫛⫱⨽∃⊬FF7)⇼⇔∾∃⊬127C⨳⩥⨓∃⊬3ED=∃⊬-E8F","reverse_text":"∃⊬-E8F=(⫛⫱⨽∃⊬FF7)⇼⇔∾∃⊬127C⨳⩥⨓∃⊬3ED","cot":[{"info":"⫛⫱⨽∃⊬FF7=∃⊬0","layer":1},{"info":"∃⊬127C⨳⩥⨓∃⊬3ED=∃⊬-E8F","layer":1},{"info":"∃⊬0⇼⇔∾∃⊬-E8F=∃⊬-E8F","layer":0}]}
+{"id":435,"expression_no_base_symbol":"⫛⫱⨽($1743$⪛$6675$)","expression":"⫛⫱⨽(∃⊬6CF⪛∃⊬1A13)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1426,"operation_count":2,"complexity_ratio":713.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1743,"base":16},"right_expr":{"type":"numeric_atoms","value":6675,"base":16}}},"used_operators":["DlLNRPXxWL","uFcxV4UQCh"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1743","layer":2},{"info":"number node, value=6675","layer":2},{"info":"compute binary expreesion, left_input=1743, right_input=6675, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1743","layer":1},{"info":"compute unary expreesion, input=1743, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⫛⫱⨽(∃⊬6CF⪛∃⊬1A13)=∃⊬0","reverse_text":"∃⊬0=⫛⫱⨽(∃⊬6CF⪛∃⊬1A13)","cot":[{"info":"∃⊬6CF⪛∃⊬1A13=∃⊬6CF","layer":1},{"info":"⫛⫱⨽∃⊬6CF=∃⊬0","layer":0}]}
+{"id":436,"expression_no_base_symbol":"($1034$⨪↰⇹$2625$)⊴(⋗⩬⋾$5131$)","expression":"(∃⊬40A⨪↰⇹∃⊬A41)⊴(⋗⩬⋾∃⊬140B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16436,"operation_count":3,"complexity_ratio":5478.666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1034,"base":16},"right_expr":{"type":"numeric_atoms","value":2625,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5131,"base":16}}},"used_operators":["Nsiff2A1zJ","tmPS8pqC7x","DpFCA1CohY"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":2},{"info":"number node, value=2625","layer":2},{"info":"compute binary expreesion, left_input=1034, right_input=2625, 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=1034","layer":1},{"info":"number node, value=5131","layer":2},{"info":"compute unary expreesion, input=5131, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15393","layer":1},{"info":"compute binary expreesion, left_input=1034, right_input=-15393, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬40A⨪↰⇹∃⊬A41)⊴(⋗⩬⋾∃⊬140B)=NaN","reverse_text":"NaN=(∃⊬40A⨪↰⇹∃⊬A41)⊴(⋗⩬⋾∃⊬140B)","cot":[{"info":"∃⊬40A⨪↰⇹∃⊬A41=∃⊬40A","layer":1},{"info":"⋗⩬⋾∃⊬140B=∃⊬-3C21","layer":1},{"info":"∃⊬40A⊴∃⊬-3C21=NaN","layer":0}]}
+{"id":437,"expression_no_base_symbol":"($1424$⇼⇔∾$2924$)⊴($8341$↙$5523$)","expression":"(∃⊬590⇼⇔∾∃⊬B6C)⊴(∃⊬2095↙∃⊬1593)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22103,"operation_count":3,"complexity_ratio":7367.666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1424,"base":16},"right_expr":{"type":"numeric_atoms","value":2924,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8341,"base":16},"right_expr":{"type":"numeric_atoms","value":5523,"base":16}}},"used_operators":["Nsiff2A1zJ","tifHPKVTfV","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1424","layer":2},{"info":"number node, value=2924","layer":2},{"info":"compute binary expreesion, left_input=1424, right_input=2924, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1500","layer":1},{"info":"number node, value=8341","layer":2},{"info":"number node, value=5523","layer":2},{"info":"compute binary expreesion, left_input=8341, right_input=5523, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16569","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=-16569, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬590⇼⇔∾∃⊬B6C)⊴(∃⊬2095↙∃⊬1593)=NaN","reverse_text":"NaN=(∃⊬590⇼⇔∾∃⊬B6C)⊴(∃⊬2095↙∃⊬1593)","cot":[{"info":"∃⊬590⇼⇔∾∃⊬B6C=∃⊬5DC","layer":1},{"info":"∃⊬2095↙∃⊬1593=∃⊬-40B9","layer":1},{"info":"∃⊬5DC⊴∃⊬-40B9=NaN","layer":0}]}
+{"id":438,"expression_no_base_symbol":"$3909$↙$2489$⇼⇔∾($1093$⩨$9755$)","expression":"∃⊬F45↙∃⊬9B9⇼⇔∾(∃⊬445⩨∃⊬261B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2505,"operation_count":3,"complexity_ratio":835.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3909,"base":16},"right_expr":{"type":"numeric_atoms","value":2489,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1093,"base":16},"right_expr":{"type":"numeric_atoms","value":9755,"base":16}}},"used_operators":["tifHPKVTfV","yyfyN0ffXY","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬1D13","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3909","layer":2},{"info":"number node, value=2489","layer":2},{"info":"compute binary expreesion, left_input=3909, right_input=2489, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7467","layer":1},{"info":"number node, value=1093","layer":2},{"info":"number node, value=9755","layer":2},{"info":"compute binary expreesion, left_input=1093, right_input=9755, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-24","layer":1},{"info":"compute binary expreesion, left_input=-7467, right_input=-24, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7443","layer":0}],"base":16,"result_base":16,"text":"∃⊬F45↙∃⊬9B9⇼⇔∾(∃⊬445⩨∃⊬261B)=∃⊬1D13","reverse_text":"∃⊬1D13=∃⊬F45↙∃⊬9B9⇼⇔∾(∃⊬445⩨∃⊬261B)","cot":[{"info":"∃⊬F45↙∃⊬9B9=∃⊬-1D2B","layer":1},{"info":"∃⊬445⩨∃⊬261B=∃⊬-18","layer":1},{"info":"∃⊬-1D2B⇼⇔∾∃⊬-18=∃⊬1D13","layer":0}]}
+{"id":439,"expression_no_base_symbol":"($4970$⊭↱$1569$)⋝⋈⪟($1344$⫡⨏$4851$)","expression":"(∃⊬136A⊭↱∃⊬621)⋝⋈⪟(∃⊬540⫡⨏∃⊬12F3)","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":4970,"base":16},"right_expr":{"type":"numeric_atoms","value":1569,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1344,"base":16},"right_expr":{"type":"numeric_atoms","value":4851,"base":16}}},"used_operators":["2DDjHMKMc0","COABgblf1C","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1A8D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4970","layer":2},{"info":"number node, value=1569","layer":2},{"info":"compute binary expreesion, left_input=4970, right_input=1569, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6797","layer":1},{"info":"number node, value=1344","layer":2},{"info":"number node, value=4851","layer":2},{"info":"compute binary expreesion, left_input=1344, right_input=4851, 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=17205","layer":1},{"info":"compute binary expreesion, left_input=-6797, right_input=17205, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-6797","layer":0}],"base":16,"result_base":16,"text":"(∃⊬136A⊭↱∃⊬621)⋝⋈⪟(∃⊬540⫡⨏∃⊬12F3)=∃⊬-1A8D","reverse_text":"∃⊬-1A8D=(∃⊬136A⊭↱∃⊬621)⋝⋈⪟(∃⊬540⫡⨏∃⊬12F3)","cot":[{"info":"∃⊬136A⊭↱∃⊬621=∃⊬-1A8D","layer":1},{"info":"∃⊬540⫡⨏∃⊬12F3=∃⊬4335","layer":1},{"info":"∃⊬-1A8D⋝⋈⪟∃⊬4335=∃⊬-1A8D","layer":0}]}
+{"id":440,"expression_no_base_symbol":"($3367$⫸⊐$1674$)⫸⊐($1140$≦≮≮)","expression":"(∃⊬D27⫸⊐∃⊬68A)⫸⊐(∃⊬474≦≮≮)","highest_n_order":2,"priority_hierarchical_complexity":2,"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":3367,"base":16},"right_expr":{"type":"numeric_atoms","value":1674,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1140,"base":16}}},"used_operators":["mqXw5SEYmG","D4vGDi5EA2"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1B39","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3367","layer":2},{"info":"number node, value=1674","layer":2},{"info":"compute binary expreesion, left_input=3367, right_input=1674, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6571","layer":1},{"info":"number node, value=1140","layer":2},{"info":"compute unary expreesion, input=1140, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3420","layer":1},{"info":"compute binary expreesion, left_input=6571, right_input=-3420, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-6969","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D27⫸⊐∃⊬68A)⫸⊐(∃⊬474≦≮≮)=∃⊬-1B39","reverse_text":"∃⊬-1B39=(∃⊬D27⫸⊐∃⊬68A)⫸⊐(∃⊬474≦≮≮)","cot":[{"info":"∃⊬D27⫸⊐∃⊬68A=∃⊬19AB","layer":1},{"info":"∃⊬474≦≮≮=∃⊬-D5C","layer":1},{"info":"∃⊬19AB⫸⊐∃⊬-D5C=∃⊬-1B39","layer":0}]}
+{"id":441,"expression_no_base_symbol":"≉($1782$⊪)","expression":"≉(∃⊬6F6⊪)","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":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1782,"base":16}}},"used_operators":["e1ybzncUwg","zVYPLywUTj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"∃⊬213","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1782","layer":2},{"info":"compute unary expreesion, input=1782, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":0}],"base":16,"result_base":16,"text":"≉(∃⊬6F6⊪)=∃⊬213","reverse_text":"∃⊬213=≉(∃⊬6F6⊪)","cot":[{"info":"∃⊬6F6⊪=∃⊬0","layer":1},{"info":"≉∃⊬0=∃⊬213","layer":0}]}
+{"id":442,"expression_no_base_symbol":"($1488$⫌⩹⨱)⨳⩥⨓(↩$1186$)","expression":"(∃⊬5D0⫌⩹⨱)⨳⩥⨓(↩∃⊬4A2)","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":1488,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1186,"base":16}}},"used_operators":["nCS4ZIUYfx","EBcxylXtPf","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"∃⊬-2B4D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1488","layer":2},{"info":"compute unary expreesion, input=1488, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4377","layer":1},{"info":"number node, value=1186","layer":2},{"info":"compute unary expreesion, input=1186, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6708","layer":1},{"info":"compute binary expreesion, left_input=4377, right_input=-6708, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-11085","layer":0}],"base":16,"result_base":16,"text":"(∃⊬5D0⫌⩹⨱)⨳⩥⨓(↩∃⊬4A2)=∃⊬-2B4D","reverse_text":"∃⊬-2B4D=(∃⊬5D0⫌⩹⨱)⨳⩥⨓(↩∃⊬4A2)","cot":[{"info":"∃⊬5D0⫌⩹⨱=∃⊬1119","layer":1},{"info":"↩∃⊬4A2=∃⊬-1A34","layer":1},{"info":"∃⊬1119⨳⩥⨓∃⊬-1A34=∃⊬-2B4D","layer":0}]}
+{"id":443,"expression_no_base_symbol":"$1812$⇷$1327$⊠≄⫣","expression":"∃⊬714⇷∃⊬52F⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25377,"operation_count":2,"complexity_ratio":12688.5,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1812,"base":16},"right_expr":{"type":"numeric_atoms","value":1327,"base":16}}},"used_operators":["DIvbN7qnHd","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1812","layer":2},{"info":"number node, value=1327","layer":2},{"info":"compute binary expreesion, left_input=1812, right_input=1327, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2654","layer":1},{"info":"compute unary expreesion, input=2654, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬714⇷∃⊬52F⊠≄⫣=∃⊬0","reverse_text":"∃⊬0=∃⊬714⇷∃⊬52F⊠≄⫣","cot":[{"info":"∃⊬714⇷∃⊬52F=∃⊬A5E","layer":1},{"info":"∃⊬A5E⊠≄⫣=∃⊬0","layer":0}]}
+{"id":444,"expression_no_base_symbol":"($1595$/$1731$)⪒$3721$↺$6569$","expression":"(∃⊬63B/∃⊬6C3)⪒∃⊬E89↺∃⊬19A9","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":1595,"base":16},"right_expr":{"type":"numeric_atoms","value":1731,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3721,"base":16},"right_expr":{"type":"numeric_atoms","value":6569,"base":16}}},"used_operators":["f6k1SAg4EE","XhwjNDsVaA","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-19A9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1595","layer":2},{"info":"number node, value=1731","layer":2},{"info":"compute binary expreesion, left_input=1595, right_input=1731, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3721","layer":2},{"info":"number node, value=6569","layer":2},{"info":"compute binary expreesion, left_input=3721, right_input=6569, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6569","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6569, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6569","layer":0}],"base":16,"result_base":16,"text":"(∃⊬63B/∃⊬6C3)⪒∃⊬E89↺∃⊬19A9=∃⊬-19A9","reverse_text":"∃⊬-19A9=(∃⊬63B/∃⊬6C3)⪒∃⊬E89↺∃⊬19A9","cot":[{"info":"∃⊬63B/∃⊬6C3=∃⊬0","layer":1},{"info":"∃⊬E89↺∃⊬19A9=∃⊬19A9","layer":1},{"info":"∃⊬0⪒∃⊬19A9=∃⊬-19A9","layer":0}]}
+{"id":445,"expression_no_base_symbol":"($1018$↺$6702$)↬($1005$⨽$1235$)","expression":"(∃⊬3FA↺∃⊬1A2E)↬(∃⊬3ED⨽∃⊬4D3)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1017,"operation_count":3,"complexity_ratio":339.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1018,"base":16},"right_expr":{"type":"numeric_atoms","value":6702,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1005,"base":16},"right_expr":{"type":"numeric_atoms","value":1235,"base":16}}},"used_operators":["B5M0gjZbta","7j4O788W3g","8HhzD0ZcuI"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":2},{"info":"number node, value=6702","layer":2},{"info":"compute binary expreesion, left_input=1018, right_input=6702, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6702","layer":1},{"info":"number node, value=1005","layer":2},{"info":"number node, value=1235","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=1235, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3032466","layer":1},{"info":"compute binary expreesion, left_input=6702, right_input=-3032466, 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":16,"result_base":16,"text":"(∃⊬3FA↺∃⊬1A2E)↬(∃⊬3ED⨽∃⊬4D3)=NaN","reverse_text":"NaN=(∃⊬3FA↺∃⊬1A2E)↬(∃⊬3ED⨽∃⊬4D3)","cot":[{"info":"∃⊬3FA↺∃⊬1A2E=∃⊬1A2E","layer":1},{"info":"∃⊬3ED⨽∃⊬4D3=∃⊬-2E4592","layer":1},{"info":"∃⊬1A2E↬∃⊬-2E4592=NaN","layer":0}]}
+{"id":446,"expression_no_base_symbol":"⪝⪂⫅($3307$⋳⪒$2260$)","expression":"⪝⪂⫅(∃⊬CEB⋳⪒∃⊬8D4)","highest_n_order":2,"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":3307,"base":16},"right_expr":{"type":"numeric_atoms","value":2260,"base":16}}},"used_operators":["XTarYq4gQB","12rbrZMWeM"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-91F59","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3307","layer":2},{"info":"number node, value=2260","layer":2},{"info":"compute binary expreesion, left_input=3307, right_input=2260, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4067","layer":1},{"info":"compute unary expreesion, input=4067, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-597849","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅(∃⊬CEB⋳⪒∃⊬8D4)=∃⊬-91F59","reverse_text":"∃⊬-91F59=⪝⪂⫅(∃⊬CEB⋳⪒∃⊬8D4)","cot":[{"info":"∃⊬CEB⋳⪒∃⊬8D4=∃⊬FE3","layer":1},{"info":"⪝⪂⫅∃⊬FE3=∃⊬-91F59","layer":0}]}
+{"id":447,"expression_no_base_symbol":"$1689$+⇶⊼$2700$⫡⨏($1236$⪨≂$1122$)","expression":"∃⊬699+⇶⊼∃⊬A8C⫡⨏(∃⊬4D4⪨≂∃⊬462)","highest_n_order":5,"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":1689,"base":16},"right_expr":{"type":"numeric_atoms","value":2700,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1236,"base":16},"right_expr":{"type":"numeric_atoms","value":1122,"base":16}}},"used_operators":["QMFrweE19q","TpPTUOHfaN","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1689","layer":2},{"info":"number node, value=2700","layer":2},{"info":"compute binary expreesion, left_input=1689, right_input=2700, 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=1236","layer":2},{"info":"number node, value=1122","layer":2},{"info":"compute binary expreesion, left_input=1236, right_input=1122, 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=330","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=330, 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":16,"result_base":16,"text":"∃⊬699+⇶⊼∃⊬A8C⫡⨏(∃⊬4D4⪨≂∃⊬462)=NaN","reverse_text":"NaN=∃⊬699+⇶⊼∃⊬A8C⫡⨏(∃⊬4D4⪨≂∃⊬462)","cot":[{"info":"∃⊬699+⇶⊼∃⊬A8C=NaN","layer":1},{"info":"∃⊬4D4⪨≂∃⊬462=∃⊬14A","layer":1},{"info":"NaN⫡⨏∃⊬14A=NaN","layer":0}]}
+{"id":448,"expression_no_base_symbol":"$3288$≭$1339$+($1241$⫡⨏$6650$)","expression":"∃⊬CD8≭∃⊬53B+(∃⊬4D9⫡⨏∃⊬19FA)","highest_n_order":5,"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":3288,"base":16},"right_expr":{"type":"numeric_atoms","value":1339,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1241,"base":16},"right_expr":{"type":"numeric_atoms","value":6650,"base":16}}},"used_operators":["W4YGzv6Whe","rxpJgHHUmx","QMFrweE19q"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3288","layer":2},{"info":"number node, value=1339","layer":2},{"info":"compute binary expreesion, left_input=3288, right_input=1339, 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=1241","layer":2},{"info":"number node, value=6650","layer":2},{"info":"compute binary expreesion, left_input=1241, right_input=6650, 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=20288","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20288, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬CD8≭∃⊬53B+(∃⊬4D9⫡⨏∃⊬19FA)=NaN","reverse_text":"NaN=∃⊬CD8≭∃⊬53B+(∃⊬4D9⫡⨏∃⊬19FA)","cot":[{"info":"∃⊬CD8≭∃⊬53B=NaN","layer":1},{"info":"∃⊬4D9⫡⨏∃⊬19FA=∃⊬4F40","layer":1},{"info":"NaN+∃⊬4F40=NaN","layer":0}]}
+{"id":449,"expression_no_base_symbol":"(≤/$3595$)⪨≂(∥⊫$1965$)","expression":"(≤/∃⊬E0B)⪨≂(∥⊫∃⊬7AD)","highest_n_order":1,"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":3595,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1965,"base":16}}},"used_operators":["sdazOOVcIp","eLAdDNolq6","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-2E0A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3595","layer":2},{"info":"compute unary expreesion, input=3595, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3111","layer":1},{"info":"number node, value=1965","layer":2},{"info":"compute unary expreesion, input=1965, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2833","layer":1},{"info":"compute binary expreesion, left_input=-3111, right_input=2833, 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=-11786","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬E0B)⪨≂(∥⊫∃⊬7AD)=∃⊬-2E0A","reverse_text":"∃⊬-2E0A=(≤/∃⊬E0B)⪨≂(∥⊫∃⊬7AD)","cot":[{"info":"≤/∃⊬E0B=∃⊬-C27","layer":1},{"info":"∥⊫∃⊬7AD=∃⊬B11","layer":1},{"info":"∃⊬-C27⪨≂∃⊬B11=∃⊬-2E0A","layer":0}]}
+{"id":450,"expression_no_base_symbol":"($7860$⪒$4860$)≭($7263$/$2082$)","expression":"(∃⊬1EB4⪒∃⊬12FC)≭(∃⊬1C5F/∃⊬822)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4248,"operation_count":3,"complexity_ratio":1416.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7860,"base":16},"right_expr":{"type":"numeric_atoms","value":4860,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7263,"base":16},"right_expr":{"type":"numeric_atoms","value":2082,"base":16}}},"used_operators":["rxpJgHHUmx","f6k1SAg4EE","XhwjNDsVaA"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7860","layer":2},{"info":"number node, value=4860","layer":2},{"info":"compute binary expreesion, left_input=7860, right_input=4860, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12720","layer":1},{"info":"number node, value=7263","layer":2},{"info":"number node, value=2082","layer":2},{"info":"compute binary expreesion, left_input=7263, right_input=2082, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"compute binary expreesion, left_input=-12720, right_input=3, 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":16,"result_base":16,"text":"(∃⊬1EB4⪒∃⊬12FC)≭(∃⊬1C5F/∃⊬822)=NaN","reverse_text":"NaN=(∃⊬1EB4⪒∃⊬12FC)≭(∃⊬1C5F/∃⊬822)","cot":[{"info":"∃⊬1EB4⪒∃⊬12FC=∃⊬-31B0","layer":1},{"info":"∃⊬1C5F/∃⊬822=∃⊬3","layer":1},{"info":"∃⊬-31B0≭∃⊬3=NaN","layer":0}]}
+{"id":451,"expression_no_base_symbol":"($4823$≫≃)⨳⩥⨓$1525$↬$1126$","expression":"(∃⊬12D7≫≃)⨳⩥⨓∃⊬5F5↬∃⊬466","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":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4823,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1525,"base":16},"right_expr":{"type":"numeric_atoms","value":1126,"base":16}}},"used_operators":["nCS4ZIUYfx","X99M06cbEe","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4823","layer":2},{"info":"compute unary expreesion, input=4823, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11047","layer":1},{"info":"number node, value=1525","layer":2},{"info":"number node, value=1126","layer":2},{"info":"compute binary expreesion, left_input=1525, right_input=1126, 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=11047, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬12D7≫≃)⨳⩥⨓∃⊬5F5↬∃⊬466=NaN","reverse_text":"NaN=(∃⊬12D7≫≃)⨳⩥⨓∃⊬5F5↬∃⊬466","cot":[{"info":"∃⊬12D7≫≃=∃⊬2B27","layer":1},{"info":"∃⊬5F5↬∃⊬466=NaN","layer":1},{"info":"∃⊬2B27⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":452,"expression_no_base_symbol":"($5943$+$1360$)⪄$3962$⋝⋈⪟$2807$","expression":"(∃⊬1737+∃⊬550)⪄∃⊬F7A⋝⋈⪟∃⊬AF7","highest_n_order":2,"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":5943,"base":16},"right_expr":{"type":"numeric_atoms","value":1360,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3962,"base":16},"right_expr":{"type":"numeric_atoms","value":2807,"base":16}}},"used_operators":["SUmda5xLS4","W4YGzv6Whe","2DDjHMKMc0"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-10ACAD","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5943","layer":2},{"info":"number node, value=1360","layer":2},{"info":"compute binary expreesion, left_input=5943, right_input=1360, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7303","layer":1},{"info":"number node, value=3962","layer":2},{"info":"number node, value=2807","layer":2},{"info":"compute binary expreesion, left_input=3962, right_input=2807, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3962","layer":1},{"info":"compute binary expreesion, left_input=7303, right_input=3962, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1092781","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1737+∃⊬550)⪄∃⊬F7A⋝⋈⪟∃⊬AF7=∃⊬-10ACAD","reverse_text":"∃⊬-10ACAD=(∃⊬1737+∃⊬550)⪄∃⊬F7A⋝⋈⪟∃⊬AF7","cot":[{"info":"∃⊬1737+∃⊬550=∃⊬1C87","layer":1},{"info":"∃⊬F7A⋝⋈⪟∃⊬AF7=∃⊬F7A","layer":1},{"info":"∃⊬1C87⪄∃⊬F7A=∃⊬-10ACAD","layer":0}]}
+{"id":453,"expression_no_base_symbol":"($3910$↪⪝)⇷(≦∁$1965$)","expression":"(∃⊬F46↪⪝)⇷(≦∁∃⊬7AD)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":708,"operation_count":3,"complexity_ratio":236.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3910,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1965,"base":16}}},"used_operators":["mp7IySMOzn","l07mrZUIn9","9ICcGScMcE"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"∃⊬F5A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3910","layer":2},{"info":"compute unary expreesion, input=3910, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=239221620","layer":1},{"info":"number node, value=1965","layer":2},{"info":"compute unary expreesion, input=1965, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1965","layer":1},{"info":"compute binary expreesion, left_input=239221620, right_input=1965, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3930","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F46↪⪝)⇷(≦∁∃⊬7AD)=∃⊬F5A","reverse_text":"∃⊬F5A=(∃⊬F46↪⪝)⇷(≦∁∃⊬7AD)","cot":[{"info":"∃⊬F46↪⪝=∃⊬E423B74","layer":1},{"info":"≦∁∃⊬7AD=∃⊬7AD","layer":1},{"info":"∃⊬E423B74⇷∃⊬7AD=∃⊬F5A","layer":0}]}
+{"id":454,"expression_no_base_symbol":"($4286$⨎$1408$)∑⇟⊟($1976$⪒$3266$)","expression":"(∃⊬10BE⨎∃⊬580)∑⇟⊟(∃⊬7B8⪒∃⊬CC2)","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":4286,"base":16},"right_expr":{"type":"numeric_atoms","value":1408,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1976,"base":16},"right_expr":{"type":"numeric_atoms","value":3266,"base":16}}},"used_operators":["U7g4x0WXJJ","rJVOvQCfKK","f6k1SAg4EE"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4286","layer":2},{"info":"number node, value=1408","layer":2},{"info":"compute binary expreesion, left_input=4286, right_input=1408, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1408","layer":1},{"info":"number node, value=1976","layer":2},{"info":"number node, value=3266","layer":2},{"info":"compute binary expreesion, left_input=1976, right_input=3266, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5242","layer":1},{"info":"compute binary expreesion, left_input=1408, right_input=-5242, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬10BE⨎∃⊬580)∑⇟⊟(∃⊬7B8⪒∃⊬CC2)=NaN","reverse_text":"NaN=(∃⊬10BE⨎∃⊬580)∑⇟⊟(∃⊬7B8⪒∃⊬CC2)","cot":[{"info":"∃⊬10BE⨎∃⊬580=∃⊬580","layer":1},{"info":"∃⊬7B8⪒∃⊬CC2=∃⊬-147A","layer":1},{"info":"∃⊬580∑⇟⊟∃⊬-147A=NaN","layer":0}]}
+{"id":455,"expression_no_base_symbol":"($2984$%$1669$)⊪","expression":"(∃⊬BA8%∃⊬685)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2984,"base":16},"right_expr":{"type":"numeric_atoms","value":1669,"base":16}}},"used_operators":["zVYPLywUTj","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2984","layer":2},{"info":"number node, value=1669","layer":2},{"info":"compute binary expreesion, left_input=2984, right_input=1669, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1315","layer":1},{"info":"compute unary expreesion, input=1315, 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":16,"result_base":16,"text":"(∃⊬BA8%∃⊬685)⊪=∃⊬0","reverse_text":"∃⊬0=(∃⊬BA8%∃⊬685)⊪","cot":[{"info":"∃⊬BA8%∃⊬685=∃⊬523","layer":1},{"info":"∃⊬523⊪=∃⊬0","layer":0}]}
+{"id":456,"expression_no_base_symbol":"($2935$⪠⩆⊳)≧⫂∧(⇁⨣⪵$1258$)","expression":"(∃⊬B77⪠⩆⊳)≧⫂∧(⇁⨣⪵∃⊬4EA)","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":2935,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1258,"base":16}}},"used_operators":["Ph9nP6C5qx","JLbD19bQDL","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2935","layer":2},{"info":"compute unary expreesion, input=2935, 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=1258","layer":2},{"info":"compute unary expreesion, input=1258, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B77⪠⩆⊳)≧⫂∧(⇁⨣⪵∃⊬4EA)=NaN","reverse_text":"NaN=(∃⊬B77⪠⩆⊳)≧⫂∧(⇁⨣⪵∃⊬4EA)","cot":[{"info":"∃⊬B77⪠⩆⊳=∃⊬0","layer":1},{"info":"⇁⨣⪵∃⊬4EA=NaN","layer":1},{"info":"∃⊬0≧⫂∧NaN=NaN","layer":0}]}
+{"id":457,"expression_no_base_symbol":"($3902$+⇶⊼$3093$)∑⇟⊟($2016$⨸⪁$1909$)","expression":"(∃⊬F3E+⇶⊼∃⊬C15)∑⇟⊟(∃⊬7E0⨸⪁∃⊬775)","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":3902,"base":16},"right_expr":{"type":"numeric_atoms","value":3093,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2016,"base":16},"right_expr":{"type":"numeric_atoms","value":1909,"base":16}}},"used_operators":["U7g4x0WXJJ","TpPTUOHfaN","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3902","layer":2},{"info":"number node, value=3093","layer":2},{"info":"compute binary expreesion, left_input=3902, right_input=3093, 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=2016","layer":2},{"info":"number node, value=1909","layer":2},{"info":"compute binary expreesion, left_input=2016, right_input=1909, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7850","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7850, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F3E+⇶⊼∃⊬C15)∑⇟⊟(∃⊬7E0⨸⪁∃⊬775)=NaN","reverse_text":"NaN=(∃⊬F3E+⇶⊼∃⊬C15)∑⇟⊟(∃⊬7E0⨸⪁∃⊬775)","cot":[{"info":"∃⊬F3E+⇶⊼∃⊬C15=NaN","layer":1},{"info":"∃⊬7E0⨸⪁∃⊬775=∃⊬1EAA","layer":1},{"info":"NaN∑⇟⊟∃⊬1EAA=NaN","layer":0}]}
+{"id":458,"expression_no_base_symbol":"$7298$⊴$2163$⫌⩹⨱","expression":"∃⊬1C82⊴∃⊬873⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10151,"operation_count":2,"complexity_ratio":5075.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7298,"base":16},"right_expr":{"type":"numeric_atoms","value":2163,"base":16}}},"used_operators":["EBcxylXtPf","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7298","layer":2},{"info":"number node, value=2163","layer":2},{"info":"compute binary expreesion, left_input=7298, right_input=2163, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1C82⊴∃⊬873⫌⩹⨱=NaN","reverse_text":"NaN=∃⊬1C82⊴∃⊬873⫌⩹⨱","cot":[{"info":"∃⊬1C82⊴∃⊬873=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
+{"id":459,"expression_no_base_symbol":"($2681$⩷∴$2645$)⊴($1877$%$1166$)","expression":"(∃⊬A79⩷∴∃⊬A55)⊴(∃⊬755%∃⊬48E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":724,"operation_count":3,"complexity_ratio":241.33333333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2681,"base":16},"right_expr":{"type":"numeric_atoms","value":2645,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1877,"base":16},"right_expr":{"type":"numeric_atoms","value":1166,"base":16}}},"used_operators":["Nsiff2A1zJ","9FxExcQeMw","k8jYdgA6NY"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2681","layer":2},{"info":"number node, value=2645","layer":2},{"info":"compute binary expreesion, left_input=2681, right_input=2645, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=40","layer":1},{"info":"number node, value=1877","layer":2},{"info":"number node, value=1166","layer":2},{"info":"compute binary expreesion, left_input=1877, right_input=1166, op_id = k8jYdgA6NY binary_op_definition= 'None', output=711","layer":1},{"info":"compute binary expreesion, left_input=40, right_input=711, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A79⩷∴∃⊬A55)⊴(∃⊬755%∃⊬48E)=NaN","reverse_text":"NaN=(∃⊬A79⩷∴∃⊬A55)⊴(∃⊬755%∃⊬48E)","cot":[{"info":"∃⊬A79⩷∴∃⊬A55=∃⊬28","layer":1},{"info":"∃⊬755%∃⊬48E=∃⊬2C7","layer":1},{"info":"∃⊬28⊴∃⊬2C7=NaN","layer":0}]}
+{"id":460,"expression_no_base_symbol":"($2284$⩷∴$3860$)⩠","expression":"(∃⊬8EC⩷∴∃⊬F14)⩠","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":2284,"base":16},"right_expr":{"type":"numeric_atoms","value":3860,"base":16}}},"used_operators":["sJAwomhLZr","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z"],"result":"∃⊬3291","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":2},{"info":"number node, value=3860","layer":2},{"info":"compute binary expreesion, left_input=2284, right_input=3860, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3184","layer":1},{"info":"compute unary expreesion, input=-3184, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=12945","layer":0}],"base":16,"result_base":16,"text":"(∃⊬8EC⩷∴∃⊬F14)⩠=∃⊬3291","reverse_text":"∃⊬3291=(∃⊬8EC⩷∴∃⊬F14)⩠","cot":[{"info":"∃⊬8EC⩷∴∃⊬F14=∃⊬-C70","layer":1},{"info":"∃⊬-C70⩠=∃⊬3291","layer":0}]}
+{"id":461,"expression_no_base_symbol":"($1250$⋳⪒$2987$)⨟⋌⩍($2291$⫥∨⫟$1572$)","expression":"(∃⊬4E2⋳⪒∃⊬BAB)⨟⋌⩍(∃⊬8F3⫥∨⫟∃⊬624)","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":1250,"base":16},"right_expr":{"type":"numeric_atoms","value":2987,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2291,"base":16},"right_expr":{"type":"numeric_atoms","value":1572,"base":16}}},"used_operators":["rGHVDoGpnC","12rbrZMWeM","KYD54nUTWz"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1250","layer":2},{"info":"number node, value=2987","layer":2},{"info":"compute binary expreesion, left_input=1250, right_input=2987, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-774","layer":1},{"info":"number node, value=2291","layer":2},{"info":"number node, value=1572","layer":2},{"info":"compute binary expreesion, left_input=2291, right_input=1572, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-774, 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":16,"result_base":16,"text":"(∃⊬4E2⋳⪒∃⊬BAB)⨟⋌⩍(∃⊬8F3⫥∨⫟∃⊬624)=NaN","reverse_text":"NaN=(∃⊬4E2⋳⪒∃⊬BAB)⨟⋌⩍(∃⊬8F3⫥∨⫟∃⊬624)","cot":[{"info":"∃⊬4E2⋳⪒∃⊬BAB=∃⊬-306","layer":1},{"info":"∃⊬8F3⫥∨⫟∃⊬624=NaN","layer":1},{"info":"∃⊬-306⨟⋌⩍NaN=NaN","layer":0}]}
+{"id":462,"expression_no_base_symbol":"($1885$⫸⊐$8370$)∑⇟⊟($5021$⩚⊴⇥$1276$)","expression":"(∃⊬75D⫸⊐∃⊬20B2)∑⇟⊟(∃⊬139D⩚⊴⇥∃⊬4FC)","highest_n_order":4,"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":1885,"base":16},"right_expr":{"type":"numeric_atoms","value":8370,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5021,"base":16},"right_expr":{"type":"numeric_atoms","value":1276,"base":16}}},"used_operators":["U7g4x0WXJJ","mqXw5SEYmG","NTOWxs364D"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1885","layer":2},{"info":"number node, value=8370","layer":2},{"info":"compute binary expreesion, left_input=1885, right_input=8370, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33355","layer":1},{"info":"number node, value=5021","layer":2},{"info":"number node, value=1276","layer":2},{"info":"compute binary expreesion, left_input=5021, right_input=1276, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6418","layer":1},{"info":"compute binary expreesion, left_input=33355, right_input=-6418, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬75D⫸⊐∃⊬20B2)∑⇟⊟(∃⊬139D⩚⊴⇥∃⊬4FC)=NaN","reverse_text":"NaN=(∃⊬75D⫸⊐∃⊬20B2)∑⇟⊟(∃⊬139D⩚⊴⇥∃⊬4FC)","cot":[{"info":"∃⊬75D⫸⊐∃⊬20B2=∃⊬824B","layer":1},{"info":"∃⊬139D⩚⊴⇥∃⊬4FC=∃⊬-1912","layer":1},{"info":"∃⊬824B∑⇟⊟∃⊬-1912=NaN","layer":0}]}
+{"id":463,"expression_no_base_symbol":"($2425$*$1590$)⩚⊴⇥(⨈⫕$3892$)","expression":"(∃⊬979*∃⊬636)⩚⊴⇥(⨈⫕∃⊬F34)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1979,"operation_count":3,"complexity_ratio":659.6666666666666,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2425,"base":16},"right_expr":{"type":"numeric_atoms","value":1590,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3892,"base":16}}},"used_operators":["NTOWxs364D","9HNa5Wba9A","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬-3AD5EA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2425","layer":2},{"info":"number node, value=1590","layer":2},{"info":"compute binary expreesion, left_input=2425, right_input=1590, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3855750","layer":1},{"info":"number node, value=3892","layer":2},{"info":"compute unary expreesion, input=3892, 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=3855750, right_input=-21, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3855850","layer":0}],"base":16,"result_base":16,"text":"(∃⊬979*∃⊬636)⩚⊴⇥(⨈⫕∃⊬F34)=∃⊬-3AD5EA","reverse_text":"∃⊬-3AD5EA=(∃⊬979*∃⊬636)⩚⊴⇥(⨈⫕∃⊬F34)","cot":[{"info":"∃⊬979*∃⊬636=∃⊬3AD586","layer":1},{"info":"⨈⫕∃⊬F34=∃⊬-15","layer":1},{"info":"∃⊬3AD586⩚⊴⇥∃⊬-15=∃⊬-3AD5EA","layer":0}]}
+{"id":464,"expression_no_base_symbol":"⫓⪴($2069$⨳⩥⨓$2892$)","expression":"⫓⪴(∃⊬815⨳⩥⨓∃⊬B4C)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":826,"operation_count":2,"complexity_ratio":413.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2069,"base":16},"right_expr":{"type":"numeric_atoms","value":2892,"base":16}}},"used_operators":["eLxqMNBOBk","nCS4ZIUYfx"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬A55D1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2069","layer":2},{"info":"number node, value=2892","layer":2},{"info":"compute binary expreesion, left_input=2069, right_input=2892, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=823","layer":1},{"info":"compute unary expreesion, input=823, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=677329","layer":0}],"base":16,"result_base":16,"text":"⫓⪴(∃⊬815⨳⩥⨓∃⊬B4C)=∃⊬A55D1","reverse_text":"∃⊬A55D1=⫓⪴(∃⊬815⨳⩥⨓∃⊬B4C)","cot":[{"info":"∃⊬815⨳⩥⨓∃⊬B4C=∃⊬337","layer":1},{"info":"⫓⪴∃⊬337=∃⊬A55D1","layer":0}]}
+{"id":465,"expression_no_base_symbol":"($1230$⨳⩥⨓$4039$)∼(⫓⪴$3458$)","expression":"(∃⊬4CE⨳⩥⨓∃⊬FC7)∼(⫓⪴∃⊬D82)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3518,"operation_count":3,"complexity_ratio":1172.6666666666667,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1230,"base":16},"right_expr":{"type":"numeric_atoms","value":4039,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3458,"base":16}}},"used_operators":["DyGG3AbaNP","nCS4ZIUYfx","eLxqMNBOBk"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1230","layer":2},{"info":"number node, value=4039","layer":2},{"info":"compute binary expreesion, left_input=1230, right_input=4039, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2809","layer":1},{"info":"number node, value=3458","layer":2},{"info":"compute unary expreesion, input=3458, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11957764","layer":1},{"info":"compute binary expreesion, left_input=2809, right_input=11957764, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4CE⨳⩥⨓∃⊬FC7)∼(⫓⪴∃⊬D82)=NaN","reverse_text":"NaN=(∃⊬4CE⨳⩥⨓∃⊬FC7)∼(⫓⪴∃⊬D82)","cot":[{"info":"∃⊬4CE⨳⩥⨓∃⊬FC7=∃⊬AF9","layer":1},{"info":"⫓⪴∃⊬D82=∃⊬B67604","layer":1},{"info":"∃⊬AF9∼∃⊬B67604=NaN","layer":0}]}
+{"id":466,"expression_no_base_symbol":"($5176$∲⫓$1906$)⨐⩸⫘($5158$∲⫓$5659$)","expression":"(∃⊬1438∲⫓∃⊬772)⨐⩸⫘(∃⊬1426∲⫓∃⊬161B)","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":5176,"base":16},"right_expr":{"type":"numeric_atoms","value":1906,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5158,"base":16},"right_expr":{"type":"numeric_atoms","value":5659,"base":16}}},"used_operators":["fu6greOZ01","i8ToyICDmI"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5176","layer":2},{"info":"number node, value=1906","layer":2},{"info":"compute binary expreesion, left_input=5176, right_input=1906, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=5158","layer":2},{"info":"number node, value=5659","layer":2},{"info":"compute binary expreesion, left_input=5158, right_input=5659, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1438∲⫓∃⊬772)⨐⩸⫘(∃⊬1426∲⫓∃⊬161B)=∃⊬0","reverse_text":"∃⊬0=(∃⊬1438∲⫓∃⊬772)⨐⩸⫘(∃⊬1426∲⫓∃⊬161B)","cot":[{"info":"∃⊬1438∲⫓∃⊬772=∃⊬0","layer":1},{"info":"∃⊬1426∲⫓∃⊬161B=∃⊬0","layer":1},{"info":"∃⊬0⨐⩸⫘∃⊬0=∃⊬0","layer":0}]}
+{"id":467,"expression_no_base_symbol":"⊄⩳↩(∥⊫$1596$)","expression":"⊄⩳↩(∥⊫∃⊬63C)","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":1596,"base":16}}},"used_operators":["8w2t5hMYqp","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1CE0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1596","layer":2},{"info":"compute unary expreesion, input=1596, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2464","layer":1},{"info":"compute unary expreesion, input=2464, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7392","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(∥⊫∃⊬63C)=∃⊬-1CE0","reverse_text":"∃⊬-1CE0=⊄⩳↩(∥⊫∃⊬63C)","cot":[{"info":"∥⊫∃⊬63C=∃⊬9A0","layer":1},{"info":"⊄⩳↩∃⊬9A0=∃⊬-1CE0","layer":0}]}
+{"id":468,"expression_no_base_symbol":"($1239$∧)⇷(⨈⫕$1447$)","expression":"(∃⊬4D7∧)⇷(⨈⫕∃⊬5A7)","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":1239,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1447,"base":16}}},"used_operators":["mp7IySMOzn","z63VuFQld9","megm06wKyl"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬-2A","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1239","layer":2},{"info":"compute unary expreesion, input=1239, 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=1447","layer":2},{"info":"compute unary expreesion, input=1447, 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=nan, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4D7∧)⇷(⨈⫕∃⊬5A7)=∃⊬-2A","reverse_text":"∃⊬-2A=(∃⊬4D7∧)⇷(⨈⫕∃⊬5A7)","cot":[{"info":"∃⊬4D7∧=NaN","layer":1},{"info":"⨈⫕∃⊬5A7=∃⊬-15","layer":1},{"info":"NaN⇷∃⊬-15=∃⊬-2A","layer":0}]}
+{"id":469,"expression_no_base_symbol":"($3726$⊪)⨎$5920$≧⫂∧$1701$","expression":"(∃⊬E8E⊪)⨎∃⊬1720≧⫂∧∃⊬6A5","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":3726,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5920,"base":16},"right_expr":{"type":"numeric_atoms","value":1701,"base":16}}},"used_operators":["rJVOvQCfKK","zVYPLywUTj","Ph9nP6C5qx"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬4CC","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3726","layer":2},{"info":"compute unary expreesion, input=3726, 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=5920","layer":2},{"info":"number node, value=1701","layer":2},{"info":"compute binary expreesion, left_input=5920, right_input=1701, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1228","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1228, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1228","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E8E⊪)⨎∃⊬1720≧⫂∧∃⊬6A5=∃⊬4CC","reverse_text":"∃⊬4CC=(∃⊬E8E⊪)⨎∃⊬1720≧⫂∧∃⊬6A5","cot":[{"info":"∃⊬E8E⊪=∃⊬0","layer":1},{"info":"∃⊬1720≧⫂∧∃⊬6A5=∃⊬4CC","layer":1},{"info":"∃⊬0⨎∃⊬4CC=∃⊬4CC","layer":0}]}
+{"id":470,"expression_no_base_symbol":"⩦⩻⨪($1407$⊪)","expression":"⩦⩻⨪(∃⊬57F⊪)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1407,"base":16}}},"used_operators":["2td37pGCOC","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1407","layer":2},{"info":"compute unary expreesion, input=1407, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪(∃⊬57F⊪)=∃⊬0","reverse_text":"∃⊬0=⩦⩻⨪(∃⊬57F⊪)","cot":[{"info":"∃⊬57F⊪=∃⊬0","layer":1},{"info":"⩦⩻⨪∃⊬0=∃⊬0","layer":0}]}
+{"id":471,"expression_no_base_symbol":"($1117$≹⇙⪍$5427$)∧","expression":"(∃⊬45D≹⇙⪍∃⊬1533)∧","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":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1117,"base":16},"right_expr":{"type":"numeric_atoms","value":5427,"base":16}}},"used_operators":["z63VuFQld9","AHs5Up7iyr"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1117","layer":2},{"info":"number node, value=5427","layer":2},{"info":"compute binary expreesion, left_input=1117, right_input=5427, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬45D≹⇙⪍∃⊬1533)∧=NaN","reverse_text":"NaN=(∃⊬45D≹⇙⪍∃⊬1533)∧","cot":[{"info":"∃⊬45D≹⇙⪍∃⊬1533=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
+{"id":472,"expression_no_base_symbol":"∥⊫(↽≂$1897$)","expression":"∥⊫(↽≂∃⊬769)","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":1897,"base":16}}},"used_operators":["P8v4zCKN1o","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-37","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1897","layer":2},{"info":"compute unary expreesion, input=1897, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3794","layer":1},{"info":"compute unary expreesion, input=-3794, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":16,"result_base":16,"text":"∥⊫(↽≂∃⊬769)=∃⊬-37","reverse_text":"∃⊬-37=∥⊫(↽≂∃⊬769)","cot":[{"info":"↽≂∃⊬769=∃⊬-ED2","layer":1},{"info":"∥⊫∃⊬-ED2=∃⊬-37","layer":0}]}
+{"id":473,"expression_no_base_symbol":"(⋗⩬⋾$2055$)⪘⫢($4624$%$6102$)","expression":"(⋗⩬⋾∃⊬807)⪘⫢(∃⊬1210%∃⊬17D6)","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":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2055,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4624,"base":16},"right_expr":{"type":"numeric_atoms","value":6102,"base":16}}},"used_operators":["oacrs7FA3X","DpFCA1CohY","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2055","layer":2},{"info":"compute unary expreesion, input=2055, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6165","layer":1},{"info":"number node, value=4624","layer":2},{"info":"number node, value=6102","layer":2},{"info":"compute binary expreesion, left_input=4624, right_input=6102, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4624","layer":1},{"info":"compute binary expreesion, left_input=-6165, right_input=4624, 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":16,"result_base":16,"text":"(⋗⩬⋾∃⊬807)⪘⫢(∃⊬1210%∃⊬17D6)=∃⊬-1","reverse_text":"∃⊬-1=(⋗⩬⋾∃⊬807)⪘⫢(∃⊬1210%∃⊬17D6)","cot":[{"info":"⋗⩬⋾∃⊬807=∃⊬-1815","layer":1},{"info":"∃⊬1210%∃⊬17D6=∃⊬1210","layer":1},{"info":"∃⊬-1815⪘⫢∃⊬1210=∃⊬-1","layer":0}]}
+{"id":474,"expression_no_base_symbol":"($1032$⩤)/$2980$⇼⇔∾$3127$","expression":"(∃⊬408⩤)/∃⊬BA4⇼⇔∾∃⊬C37","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":1032,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2980,"base":16},"right_expr":{"type":"numeric_atoms","value":3127,"base":16}}},"used_operators":["XhwjNDsVaA","Z2TMIBDE3Q","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":2},{"info":"compute unary expreesion, input=1032, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1032","layer":1},{"info":"number node, value=2980","layer":2},{"info":"number node, value=3127","layer":2},{"info":"compute binary expreesion, left_input=2980, right_input=3127, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=147","layer":1},{"info":"compute binary expreesion, left_input=-1032, right_input=147, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-8","layer":0}],"base":16,"result_base":16,"text":"(∃⊬408⩤)/∃⊬BA4⇼⇔∾∃⊬C37=∃⊬-8","reverse_text":"∃⊬-8=(∃⊬408⩤)/∃⊬BA4⇼⇔∾∃⊬C37","cot":[{"info":"∃⊬408⩤=∃⊬-408","layer":1},{"info":"∃⊬BA4⇼⇔∾∃⊬C37=∃⊬93","layer":1},{"info":"∃⊬-408/∃⊬93=∃⊬-8","layer":0}]}
+{"id":475,"expression_no_base_symbol":"↽≂($3135$⪨≂$6093$)","expression":"↽≂(∃⊬C3F⪨≂∃⊬17CD)","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":3135,"base":16},"right_expr":{"type":"numeric_atoms","value":6093,"base":16}}},"used_operators":["u6S6b8DprG","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬2D6C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3135","layer":2},{"info":"number node, value=6093","layer":2},{"info":"compute binary expreesion, left_input=3135, right_input=6093, 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=-5814","layer":1},{"info":"compute unary expreesion, input=-5814, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=11628","layer":0}],"base":16,"result_base":16,"text":"↽≂(∃⊬C3F⪨≂∃⊬17CD)=∃⊬2D6C","reverse_text":"∃⊬2D6C=↽≂(∃⊬C3F⪨≂∃⊬17CD)","cot":[{"info":"∃⊬C3F⪨≂∃⊬17CD=∃⊬-16B6","layer":1},{"info":"↽≂∃⊬-16B6=∃⊬2D6C","layer":0}]}
+{"id":476,"expression_no_base_symbol":"($1709$⋳⪒$3616$)⋓$3094$⨟⋌⩍$3987$","expression":"(∃⊬6AD⋳⪒∃⊬E20)⋓∃⊬C16⨟⋌⩍∃⊬F93","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1709,"base":16},"right_expr":{"type":"numeric_atoms","value":3616,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3094,"base":16},"right_expr":{"type":"numeric_atoms","value":3987,"base":16}}},"used_operators":["T2fj7uvVaJ","12rbrZMWeM","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1709","layer":2},{"info":"number node, value=3616","layer":2},{"info":"compute binary expreesion, left_input=1709, right_input=3616, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-485","layer":1},{"info":"number node, value=3094","layer":2},{"info":"number node, value=3987","layer":2},{"info":"compute binary expreesion, left_input=3094, right_input=3987, 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=-485, 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":16,"result_base":16,"text":"(∃⊬6AD⋳⪒∃⊬E20)⋓∃⊬C16⨟⋌⩍∃⊬F93=NaN","reverse_text":"NaN=(∃⊬6AD⋳⪒∃⊬E20)⋓∃⊬C16⨟⋌⩍∃⊬F93","cot":[{"info":"∃⊬6AD⋳⪒∃⊬E20=∃⊬-1E5","layer":1},{"info":"∃⊬C16⨟⋌⩍∃⊬F93=NaN","layer":1},{"info":"∃⊬-1E5⋓NaN=NaN","layer":0}]}
+{"id":477,"expression_no_base_symbol":"$1302$+⇶⊼$4363$⨐⩸⫘($6506$⨸⪁$3920$)","expression":"∃⊬516+⇶⊼∃⊬110B⨐⩸⫘(∃⊬196A⨸⪁∃⊬F50)","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":1302,"base":16},"right_expr":{"type":"numeric_atoms","value":4363,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6506,"base":16},"right_expr":{"type":"numeric_atoms","value":3920,"base":16}}},"used_operators":["fu6greOZ01","TpPTUOHfaN","g55IO6H4Gj"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1302","layer":2},{"info":"number node, value=4363","layer":2},{"info":"compute binary expreesion, left_input=1302, right_input=4363, 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=6506","layer":2},{"info":"number node, value=3920","layer":2},{"info":"compute binary expreesion, left_input=6506, right_input=3920, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20852","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20852, 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":16,"result_base":16,"text":"∃⊬516+⇶⊼∃⊬110B⨐⩸⫘(∃⊬196A⨸⪁∃⊬F50)=NaN","reverse_text":"NaN=∃⊬516+⇶⊼∃⊬110B⨐⩸⫘(∃⊬196A⨸⪁∃⊬F50)","cot":[{"info":"∃⊬516+⇶⊼∃⊬110B=NaN","layer":1},{"info":"∃⊬196A⨸⪁∃⊬F50=∃⊬5174","layer":1},{"info":"NaN⨐⩸⫘∃⊬5174=NaN","layer":0}]}
+{"id":478,"expression_no_base_symbol":"$2215$⨸⪁$2993$⊉≛↸($3530$⨵⪆$3472$)","expression":"∃⊬8A7⨸⪁∃⊬BB1⊉≛↸(∃⊬DCA⨵⪆∃⊬D90)","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":2215,"base":16},"right_expr":{"type":"numeric_atoms","value":2993,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3530,"base":16},"right_expr":{"type":"numeric_atoms","value":3472,"base":16}}},"used_operators":["DZ8iAZOCBD","g55IO6H4Gj","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬5160","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2215","layer":2},{"info":"number node, value=2993","layer":2},{"info":"compute binary expreesion, left_input=2215, right_input=2993, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10416","layer":1},{"info":"number node, value=3530","layer":2},{"info":"number node, value=3472","layer":2},{"info":"compute binary expreesion, left_input=3530, right_input=3472, 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=10416, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=20832","layer":0}],"base":16,"result_base":16,"text":"∃⊬8A7⨸⪁∃⊬BB1⊉≛↸(∃⊬DCA⨵⪆∃⊬D90)=∃⊬5160","reverse_text":"∃⊬5160=∃⊬8A7⨸⪁∃⊬BB1⊉≛↸(∃⊬DCA⨵⪆∃⊬D90)","cot":[{"info":"∃⊬8A7⨸⪁∃⊬BB1=∃⊬28B0","layer":1},{"info":"∃⊬DCA⨵⪆∃⊬D90=∃⊬A0","layer":1},{"info":"∃⊬28B0⊉≛↸∃⊬A0=∃⊬5160","layer":0}]}
+{"id":479,"expression_no_base_symbol":"($1129$+$7261$)≣⋋","expression":"(∃⊬469+∃⊬1C5D)≣⋋","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":1129,"base":16},"right_expr":{"type":"numeric_atoms","value":7261,"base":16}}},"used_operators":["Tcnh7f0tEr","W4YGzv6Whe"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1129","layer":2},{"info":"number node, value=7261","layer":2},{"info":"compute binary expreesion, left_input=1129, right_input=7261, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8390","layer":1},{"info":"compute unary expreesion, input=8390, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬469+∃⊬1C5D)≣⋋=∃⊬0","reverse_text":"∃⊬0=(∃⊬469+∃⊬1C5D)≣⋋","cot":[{"info":"∃⊬469+∃⊬1C5D=∃⊬20C6","layer":1},{"info":"∃⊬20C6≣⋋=∃⊬0","layer":0}]}
+{"id":480,"expression_no_base_symbol":"($6005$⫡⨏$5124$)⪘⫢($3234$⨳⩥⨓$3331$)","expression":"(∃⊬1775⫡⨏∃⊬1404)⪘⫢(∃⊬CA2⨳⩥⨓∃⊬D03)","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":6005,"base":16},"right_expr":{"type":"numeric_atoms","value":5124,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3234,"base":16},"right_expr":{"type":"numeric_atoms","value":3331,"base":16}}},"used_operators":["oacrs7FA3X","QMFrweE19q","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6005","layer":2},{"info":"number node, value=5124","layer":2},{"info":"compute binary expreesion, left_input=6005, right_input=5124, 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=41056","layer":1},{"info":"number node, value=3234","layer":2},{"info":"number node, value=3331","layer":2},{"info":"compute binary expreesion, left_input=3234, right_input=3331, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=97","layer":1},{"info":"compute binary expreesion, left_input=41056, right_input=97, 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":16,"result_base":16,"text":"(∃⊬1775⫡⨏∃⊬1404)⪘⫢(∃⊬CA2⨳⩥⨓∃⊬D03)=∃⊬0","reverse_text":"∃⊬0=(∃⊬1775⫡⨏∃⊬1404)⪘⫢(∃⊬CA2⨳⩥⨓∃⊬D03)","cot":[{"info":"∃⊬1775⫡⨏∃⊬1404=∃⊬A060","layer":1},{"info":"∃⊬CA2⨳⩥⨓∃⊬D03=∃⊬61","layer":1},{"info":"∃⊬A060⪘⫢∃⊬61=∃⊬0","layer":0}]}
+{"id":481,"expression_no_base_symbol":"↯⪼(∥⊫$2324$)","expression":"↯⪼(∥⊫∃⊬914)","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":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2324,"base":16}}},"used_operators":["8jW3W4yZS5","P8v4zCKN1o"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2324","layer":2},{"info":"compute unary expreesion, input=2324, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3192","layer":1},{"info":"compute unary expreesion, input=3192, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∥⊫∃⊬914)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(∥⊫∃⊬914)","cot":[{"info":"∥⊫∃⊬914=∃⊬C78","layer":1},{"info":"↯⪼∃⊬C78=∃⊬-15","layer":0}]}
+{"id":482,"expression_no_base_symbol":"($1293$⋳⪒$1727$)⇷($6201$≭$2064$)","expression":"(∃⊬50D⋳⪒∃⊬6BF)⇷(∃⊬1839≭∃⊬810)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8022,"operation_count":3,"complexity_ratio":2674.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1293,"base":16},"right_expr":{"type":"numeric_atoms","value":1727,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6201,"base":16},"right_expr":{"type":"numeric_atoms","value":2064,"base":16}}},"used_operators":["mp7IySMOzn","12rbrZMWeM","rxpJgHHUmx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1293","layer":2},{"info":"number node, value=1727","layer":2},{"info":"compute binary expreesion, left_input=1293, right_input=1727, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=572","layer":1},{"info":"number node, value=6201","layer":2},{"info":"number node, value=2064","layer":2},{"info":"compute binary expreesion, left_input=6201, right_input=2064, 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=572, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬50D⋳⪒∃⊬6BF)⇷(∃⊬1839≭∃⊬810)=NaN","reverse_text":"NaN=(∃⊬50D⋳⪒∃⊬6BF)⇷(∃⊬1839≭∃⊬810)","cot":[{"info":"∃⊬50D⋳⪒∃⊬6BF=∃⊬23C","layer":1},{"info":"∃⊬1839≭∃⊬810=NaN","layer":1},{"info":"∃⊬23C⇷NaN=NaN","layer":0}]}
+{"id":483,"expression_no_base_symbol":"($6257$∲⫓$6551$)⊠≄⫣","expression":"(∃⊬1871∲⫓∃⊬1997)⊠≄⫣","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":6257,"base":16},"right_expr":{"type":"numeric_atoms","value":6551,"base":16}}},"used_operators":["DIvbN7qnHd","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6257","layer":2},{"info":"number node, value=6551","layer":2},{"info":"compute binary expreesion, left_input=6257, right_input=6551, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1871∲⫓∃⊬1997)⊠≄⫣=∃⊬0","reverse_text":"∃⊬0=(∃⊬1871∲⫓∃⊬1997)⊠≄⫣","cot":[{"info":"∃⊬1871∲⫓∃⊬1997=∃⊬0","layer":1},{"info":"∃⊬0⊠≄⫣=∃⊬0","layer":0}]}
+{"id":484,"expression_no_base_symbol":"$1022$⊴$3028$+⇶⊼($2621$⨐⩸⫘$5466$)","expression":"∃⊬3FE⊴∃⊬BD4+⇶⊼(∃⊬A3D⨐⩸⫘∃⊬155A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3036,"operation_count":3,"complexity_ratio":1012.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1022,"base":16},"right_expr":{"type":"numeric_atoms","value":3028,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2621,"base":16},"right_expr":{"type":"numeric_atoms","value":5466,"base":16}}},"used_operators":["TpPTUOHfaN","Nsiff2A1zJ","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1022","layer":2},{"info":"number node, value=3028","layer":2},{"info":"compute binary expreesion, left_input=1022, right_input=3028, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2621","layer":2},{"info":"number node, value=5466","layer":2},{"info":"compute binary expreesion, left_input=2621, right_input=5466, 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 = 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":16,"result_base":16,"text":"∃⊬3FE⊴∃⊬BD4+⇶⊼(∃⊬A3D⨐⩸⫘∃⊬155A)=NaN","reverse_text":"NaN=∃⊬3FE⊴∃⊬BD4+⇶⊼(∃⊬A3D⨐⩸⫘∃⊬155A)","cot":[{"info":"∃⊬3FE⊴∃⊬BD4=NaN","layer":1},{"info":"∃⊬A3D⨐⩸⫘∃⊬155A=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
+{"id":485,"expression_no_base_symbol":"+⊝⨔($3021$-$1359$)","expression":"+⊝⨔(∃⊬BCD-∃⊬54F)","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":3021,"base":16},"right_expr":{"type":"numeric_atoms","value":1359,"base":16}}},"used_operators":["DhbWaqg5eL","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3021","layer":2},{"info":"number node, value=1359","layer":2},{"info":"compute binary expreesion, left_input=3021, right_input=1359, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1662","layer":1},{"info":"compute unary expreesion, input=1662, 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":16,"result_base":16,"text":"+⊝⨔(∃⊬BCD-∃⊬54F)=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(∃⊬BCD-∃⊬54F)","cot":[{"info":"∃⊬BCD-∃⊬54F=∃⊬67E","layer":1},{"info":"+⊝⨔∃⊬67E=∃⊬5F2","layer":0}]}
+{"id":486,"expression_no_base_symbol":"$4077$⨵⪆$1397$⨵⪆(≤/$1255$)","expression":"∃⊬FED⨵⪆∃⊬575⨵⪆(≤/∃⊬4E7)","highest_n_order":1,"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":4077,"base":16},"right_expr":{"type":"numeric_atoms","value":1397,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1255,"base":16}}},"used_operators":["2DQ55sFlQl","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4077","layer":2},{"info":"number node, value=1397","layer":2},{"info":"compute binary expreesion, left_input=4077, right_input=1397, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1255","layer":2},{"info":"compute unary expreesion, input=1255, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-771","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-771, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬FED⨵⪆∃⊬575⨵⪆(≤/∃⊬4E7)=∃⊬A0","reverse_text":"∃⊬A0=∃⊬FED⨵⪆∃⊬575⨵⪆(≤/∃⊬4E7)","cot":[{"info":"∃⊬FED⨵⪆∃⊬575=∃⊬A0","layer":1},{"info":"≤/∃⊬4E7=∃⊬-303","layer":1},{"info":"∃⊬A0⨵⪆∃⊬-303=∃⊬A0","layer":0}]}
+{"id":487,"expression_no_base_symbol":"$5151$-$4483$+$8282$⊭↱$1043$","expression":"∃⊬141F-∃⊬1183+∃⊬205A⊭↱∃⊬413","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":5151,"base":16},"right_expr":{"type":"numeric_atoms","value":4483,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8282,"base":16},"right_expr":{"type":"numeric_atoms","value":1043,"base":16}}},"used_operators":["W4YGzv6Whe","rysDP5nf3Z","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-35ED","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5151","layer":2},{"info":"number node, value=4483","layer":2},{"info":"compute binary expreesion, left_input=5151, right_input=4483, op_id = rysDP5nf3Z binary_op_definition= 'None', output=668","layer":1},{"info":"number node, value=8282","layer":2},{"info":"number node, value=1043","layer":2},{"info":"compute binary expreesion, left_input=8282, right_input=1043, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-14473","layer":1},{"info":"compute binary expreesion, left_input=668, right_input=-14473, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-13805","layer":0}],"base":16,"result_base":16,"text":"∃⊬141F-∃⊬1183+∃⊬205A⊭↱∃⊬413=∃⊬-35ED","reverse_text":"∃⊬-35ED=∃⊬141F-∃⊬1183+∃⊬205A⊭↱∃⊬413","cot":[{"info":"∃⊬141F-∃⊬1183=∃⊬29C","layer":1},{"info":"∃⊬205A⊭↱∃⊬413=∃⊬-3889","layer":1},{"info":"∃⊬29C+∃⊬-3889=∃⊬-35ED","layer":0}]}
+{"id":488,"expression_no_base_symbol":"$5966$⨐⩸⫘$4188$∲⫓$5176$⫥∨⫟$1887$","expression":"∃⊬174E⨐⩸⫘∃⊬105C∲⫓∃⊬1438⫥∨⫟∃⊬75F","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":5966,"base":16},"right_expr":{"type":"numeric_atoms","value":4188,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5176,"base":16},"right_expr":{"type":"numeric_atoms","value":1887,"base":16}}},"used_operators":["i8ToyICDmI","fu6greOZ01","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5966","layer":2},{"info":"number node, value=4188","layer":2},{"info":"compute binary expreesion, left_input=5966, right_input=4188, 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=5176","layer":2},{"info":"number node, value=1887","layer":2},{"info":"compute binary expreesion, left_input=5176, right_input=1887, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬174E⨐⩸⫘∃⊬105C∲⫓∃⊬1438⫥∨⫟∃⊬75F=NaN","reverse_text":"NaN=∃⊬174E⨐⩸⫘∃⊬105C∲⫓∃⊬1438⫥∨⫟∃⊬75F","cot":[{"info":"∃⊬174E⨐⩸⫘∃⊬105C=NaN","layer":1},{"info":"∃⊬1438⫥∨⫟∃⊬75F=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
+{"id":489,"expression_no_base_symbol":"$1015$⨟⋌⩍$1033$⩨$5124$⋥≓≎$8226$","expression":"∃⊬3F7⨟⋌⩍∃⊬409⩨∃⊬1404⋥≓≎∃⊬2022","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":1015,"base":16},"right_expr":{"type":"numeric_atoms","value":1033,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5124,"base":16},"right_expr":{"type":"numeric_atoms","value":8226,"base":16}}},"used_operators":["2DlMacCsIx","rGHVDoGpnC","Qy55tPpLXF"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1015","layer":2},{"info":"number node, value=1033","layer":2},{"info":"compute binary expreesion, left_input=1015, right_input=1033, 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=5124","layer":2},{"info":"number node, value=8226","layer":2},{"info":"compute binary expreesion, left_input=5124, right_input=8226, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11361","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11361, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬3F7⨟⋌⩍∃⊬409⩨∃⊬1404⋥≓≎∃⊬2022=NaN","reverse_text":"NaN=∃⊬3F7⨟⋌⩍∃⊬409⩨∃⊬1404⋥≓≎∃⊬2022","cot":[{"info":"∃⊬3F7⨟⋌⩍∃⊬409=NaN","layer":1},{"info":"∃⊬1404⋥≓≎∃⊬2022=∃⊬2C61","layer":1},{"info":"NaN⩨∃⊬2C61=NaN","layer":0}]}
+{"id":490,"expression_no_base_symbol":"($2624$⩨$4890$)≣⋋","expression":"(∃⊬A40⩨∃⊬131A)≣⋋","highest_n_order":3,"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":2624,"base":16},"right_expr":{"type":"numeric_atoms","value":4890,"base":16}}},"used_operators":["Tcnh7f0tEr","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2624","layer":2},{"info":"number node, value=4890","layer":2},{"info":"compute binary expreesion, left_input=2624, right_input=4890, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A40⩨∃⊬131A)≣⋋=∃⊬0","reverse_text":"∃⊬0=(∃⊬A40⩨∃⊬131A)≣⋋","cot":[{"info":"∃⊬A40⩨∃⊬131A=∃⊬-3","layer":1},{"info":"∃⊬-3≣⋋=∃⊬0","layer":0}]}
+{"id":491,"expression_no_base_symbol":"($1681$≋⫹)⨟⋌⩍($3510$*$1004$)","expression":"(∃⊬691≋⫹)⨟⋌⩍(∃⊬DB6*∃⊬3EC)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1008,"operation_count":3,"complexity_ratio":336.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1681,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3510,"base":16},"right_expr":{"type":"numeric_atoms","value":1004,"base":16}}},"used_operators":["rGHVDoGpnC","N41Kp7NANJ","9HNa5Wba9A"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1681","layer":2},{"info":"compute unary expreesion, input=1681, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3362","layer":1},{"info":"number node, value=3510","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=3510, right_input=1004, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3524040","layer":1},{"info":"compute binary expreesion, left_input=-3362, right_input=3524040, 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":16,"result_base":16,"text":"(∃⊬691≋⫹)⨟⋌⩍(∃⊬DB6*∃⊬3EC)=NaN","reverse_text":"NaN=(∃⊬691≋⫹)⨟⋌⩍(∃⊬DB6*∃⊬3EC)","cot":[{"info":"∃⊬691≋⫹=∃⊬-D22","layer":1},{"info":"∃⊬DB6*∃⊬3EC=∃⊬35C5C8","layer":1},{"info":"∃⊬-D22⨟⋌⩍∃⊬35C5C8=NaN","layer":0}]}
+{"id":492,"expression_no_base_symbol":"$6161$∼$1355$⨰(⨰⫟⨤$1736$)","expression":"∃⊬1811∼∃⊬54B⨰(⨰⫟⨤∃⊬6C8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6232,"operation_count":3,"complexity_ratio":2077.3333333333335,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6161,"base":16},"right_expr":{"type":"numeric_atoms","value":1355,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1736,"base":16}}},"used_operators":["eewbuw0ToL","DyGG3AbaNP","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6161","layer":2},{"info":"number node, value=1355","layer":2},{"info":"compute binary expreesion, left_input=6161, right_input=1355, 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=1736","layer":2},{"info":"compute unary expreesion, input=1736, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1811∼∃⊬54B⨰(⨰⫟⨤∃⊬6C8)=NaN","reverse_text":"NaN=∃⊬1811∼∃⊬54B⨰(⨰⫟⨤∃⊬6C8)","cot":[{"info":"∃⊬1811∼∃⊬54B=NaN","layer":1},{"info":"⨰⫟⨤∃⊬6C8=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
+{"id":493,"expression_no_base_symbol":"∂(↯⪼$9577$)","expression":"∂(↯⪼∃⊬2569)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":448,"operation_count":2,"complexity_ratio":224.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":9577,"base":16}}},"used_operators":["Uaa54Peajs","8jW3W4yZS5"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬-F3","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=9577","layer":2},{"info":"compute unary expreesion, input=9577, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-243","layer":0}],"base":16,"result_base":16,"text":"∂(↯⪼∃⊬2569)=∃⊬-F3","reverse_text":"∃⊬-F3=∂(↯⪼∃⊬2569)","cot":[{"info":"↯⪼∃⊬2569=∃⊬-15","layer":1},{"info":"∂∃⊬-15=∃⊬-F3","layer":0}]}
+{"id":494,"expression_no_base_symbol":"($4320$⪄$1879$)⋥≓≎($1457$⊉≛↸$3371$)","expression":"(∃⊬10E0⪄∃⊬757)⋥≓≎(∃⊬5B1⊉≛↸∃⊬D2B)","highest_n_order":2,"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":4320,"base":16},"right_expr":{"type":"numeric_atoms","value":1879,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1457,"base":16},"right_expr":{"type":"numeric_atoms","value":3371,"base":16}}},"used_operators":["Qy55tPpLXF","SUmda5xLS4","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4320","layer":2},{"info":"number node, value=1879","layer":2},{"info":"compute binary expreesion, left_input=4320, right_input=1879, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-642965","layer":1},{"info":"number node, value=1457","layer":2},{"info":"number node, value=3371","layer":2},{"info":"compute binary expreesion, left_input=1457, right_input=3371, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2914","layer":1},{"info":"compute binary expreesion, left_input=-642965, right_input=2914, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"(∃⊬10E0⪄∃⊬757)⋥≓≎(∃⊬5B1⊉≛↸∃⊬D2B)=∃⊬43","reverse_text":"∃⊬43=(∃⊬10E0⪄∃⊬757)⋥≓≎(∃⊬5B1⊉≛↸∃⊬D2B)","cot":[{"info":"∃⊬10E0⪄∃⊬757=∃⊬-9CF95","layer":1},{"info":"∃⊬5B1⊉≛↸∃⊬D2B=∃⊬B62","layer":1},{"info":"∃⊬-9CF95⋥≓≎∃⊬B62=∃⊬43","layer":0}]}
+{"id":495,"expression_no_base_symbol":"($6209$⋷$2495$)∀⇚≩($5087$⋝⋈⪟$1330$)","expression":"(∃⊬1841⋷∃⊬9BF)∀⇚≩(∃⊬13DF⋝⋈⪟∃⊬532)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8539,"operation_count":3,"complexity_ratio":2846.3333333333335,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6209,"base":16},"right_expr":{"type":"numeric_atoms","value":2495,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5087,"base":16},"right_expr":{"type":"numeric_atoms","value":1330,"base":16}}},"used_operators":["LRNGc0VcxI","23Mk6UjR3U","2DDjHMKMc0"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6209","layer":2},{"info":"number node, value=2495","layer":2},{"info":"compute binary expreesion, left_input=6209, right_input=2495, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1219","layer":1},{"info":"number node, value=5087","layer":2},{"info":"number node, value=1330","layer":2},{"info":"compute binary expreesion, left_input=5087, right_input=1330, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5087","layer":1},{"info":"compute binary expreesion, left_input=-1219, right_input=5087, 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":16,"result_base":16,"text":"(∃⊬1841⋷∃⊬9BF)∀⇚≩(∃⊬13DF⋝⋈⪟∃⊬532)=NaN","reverse_text":"NaN=(∃⊬1841⋷∃⊬9BF)∀⇚≩(∃⊬13DF⋝⋈⪟∃⊬532)","cot":[{"info":"∃⊬1841⋷∃⊬9BF=∃⊬-4C3","layer":1},{"info":"∃⊬13DF⋝⋈⪟∃⊬532=∃⊬13DF","layer":1},{"info":"∃⊬-4C3∀⇚≩∃⊬13DF=NaN","layer":0}]}
+{"id":496,"expression_no_base_symbol":"$8761$⪢$1608$↙(≦∁$1058$)","expression":"∃⊬2239⪢∃⊬648↙(≦∁∃⊬422)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13882,"operation_count":3,"complexity_ratio":4627.333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8761,"base":16},"right_expr":{"type":"numeric_atoms","value":1608,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1058,"base":16}}},"used_operators":["yyfyN0ffXY","dWAJyo7jo9","9ICcGScMcE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=8761","layer":2},{"info":"number node, value=1608","layer":2},{"info":"compute binary expreesion, left_input=8761, right_input=1608, 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=1058","layer":2},{"info":"compute unary expreesion, input=1058, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1058","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1058, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬2239⪢∃⊬648↙(≦∁∃⊬422)=NaN","reverse_text":"NaN=∃⊬2239⪢∃⊬648↙(≦∁∃⊬422)","cot":[{"info":"∃⊬2239⪢∃⊬648=NaN","layer":1},{"info":"≦∁∃⊬422=∃⊬422","layer":1},{"info":"NaN↙∃⊬422=NaN","layer":0}]}
+{"id":497,"expression_no_base_symbol":"≤/(↔$1446$)","expression":"≤/(↔∃⊬5A6)","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":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1446,"base":16}}},"used_operators":["eLAdDNolq6","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬679","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1446","layer":2},{"info":"compute unary expreesion, input=1446, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1173","layer":1},{"info":"compute unary expreesion, input=-1173, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=1657","layer":0}],"base":16,"result_base":16,"text":"≤/(↔∃⊬5A6)=∃⊬679","reverse_text":"∃⊬679=≤/(↔∃⊬5A6)","cot":[{"info":"↔∃⊬5A6=∃⊬-495","layer":1},{"info":"≤/∃⊬-495=∃⊬679","layer":0}]}
+{"id":498,"expression_no_base_symbol":"$2146$⊴$3285$⇋≉","expression":"∃⊬862⊴∃⊬CD5⇋≉","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3294,"operation_count":2,"complexity_ratio":1647.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2146,"base":16},"right_expr":{"type":"numeric_atoms","value":3285,"base":16}}},"used_operators":["XIabStNQrY","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2146","layer":2},{"info":"number node, value=3285","layer":2},{"info":"compute binary expreesion, left_input=2146, right_input=3285, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":16,"result_base":16,"text":"∃⊬862⊴∃⊬CD5⇋≉=NaN","reverse_text":"NaN=∃⊬862⊴∃⊬CD5⇋≉","cot":[{"info":"∃⊬862⊴∃⊬CD5=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
+{"id":499,"expression_no_base_symbol":"$6155$≹⇙⪍$1247$∑⇟⊟$1585$⇷$1092$","expression":"∃⊬180B≹⇙⪍∃⊬4DF∑⇟⊟∃⊬631⇷∃⊬444","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22198,"operation_count":3,"complexity_ratio":7399.333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6155,"base":16},"right_expr":{"type":"numeric_atoms","value":1247,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1585,"base":16},"right_expr":{"type":"numeric_atoms","value":1092,"base":16}}},"used_operators":["U7g4x0WXJJ","AHs5Up7iyr","mp7IySMOzn"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6155","layer":2},{"info":"number node, value=1247","layer":2},{"info":"compute binary expreesion, left_input=6155, right_input=1247, 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=1585","layer":2},{"info":"number node, value=1092","layer":2},{"info":"compute binary expreesion, left_input=1585, right_input=1092, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2184","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2184, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬180B≹⇙⪍∃⊬4DF∑⇟⊟∃⊬631⇷∃⊬444=NaN","reverse_text":"NaN=∃⊬180B≹⇙⪍∃⊬4DF∑⇟⊟∃⊬631⇷∃⊬444","cot":[{"info":"∃⊬180B≹⇙⪍∃⊬4DF=NaN","layer":1},{"info":"∃⊬631⇷∃⊬444=∃⊬888","layer":1},{"info":"NaN∑⇟⊟∃⊬888=NaN","layer":0}]}
+{"id":500,"expression_no_base_symbol":"($2448$∀⇚≩$1334$)≹⇙⪍(↩$1951$)","expression":"(∃⊬990∀⇚≩∃⊬536)≹⇙⪍(↩∃⊬79F)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17153,"operation_count":3,"complexity_ratio":5717.666666666667,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2448,"base":16},"right_expr":{"type":"numeric_atoms","value":1334,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1951,"base":16}}},"used_operators":["AHs5Up7iyr","LRNGc0VcxI","jLgFTUHLKL"],"dependent_operators":["dWAJyo7jo9","X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2448","layer":2},{"info":"number node, value=1334","layer":2},{"info":"compute binary expreesion, left_input=2448, right_input=1334, 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=1951","layer":2},{"info":"compute unary expreesion, input=1951, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12828","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12828, 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":16,"result_base":16,"text":"(∃⊬990∀⇚≩∃⊬536)≹⇙⪍(↩∃⊬79F)=NaN","reverse_text":"NaN=(∃⊬990∀⇚≩∃⊬536)≹⇙⪍(↩∃⊬79F)","cot":[{"info":"∃⊬990∀⇚≩∃⊬536=NaN","layer":1},{"info":"↩∃⊬79F=∃⊬-321C","layer":1},{"info":"NaN≹⇙⪍∃⊬-321C=NaN","layer":0}]}
+{"id":501,"expression_no_base_symbol":"($6590$⨵⪆$1682$)⨪↰⇹(⊙↵-$1175$)","expression":"(∃⊬19BE⨵⪆∃⊬692)⨪↰⇹(⊙↵-∃⊬497)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1382,"operation_count":3,"complexity_ratio":460.6666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6590,"base":16},"right_expr":{"type":"numeric_atoms","value":1682,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1175,"base":16}}},"used_operators":["tmPS8pqC7x","2DQ55sFlQl","oWn0xqSxBt"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6590","layer":2},{"info":"number node, value=1682","layer":2},{"info":"compute binary expreesion, left_input=6590, right_input=1682, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1175","layer":2},{"info":"compute unary expreesion, input=1175, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=160, 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=160","layer":0}],"base":16,"result_base":16,"text":"(∃⊬19BE⨵⪆∃⊬692)⨪↰⇹(⊙↵-∃⊬497)=∃⊬A0","reverse_text":"∃⊬A0=(∃⊬19BE⨵⪆∃⊬692)⨪↰⇹(⊙↵-∃⊬497)","cot":[{"info":"∃⊬19BE⨵⪆∃⊬692=∃⊬A0","layer":1},{"info":"⊙↵-∃⊬497=∃⊬-1","layer":1},{"info":"∃⊬A0⨪↰⇹∃⊬-1=∃⊬A0","layer":0}]}
+{"id":502,"expression_no_base_symbol":"(↥$1301$)↪⪝","expression":"(↥∃⊬515)↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":157,"operation_count":2,"complexity_ratio":78.5,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1301,"base":16}}},"used_operators":["l07mrZUIn9","A8NUZmVepG"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY"],"result":"∃⊬1845CC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1301","layer":2},{"info":"compute unary expreesion, input=1301, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=26","layer":1},{"info":"compute unary expreesion, input=26, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=1590732","layer":0}],"base":16,"result_base":16,"text":"(↥∃⊬515)↪⪝=∃⊬1845CC","reverse_text":"∃⊬1845CC=(↥∃⊬515)↪⪝","cot":[{"info":"↥∃⊬515=∃⊬1A","layer":1},{"info":"∃⊬1A↪⪝=∃⊬1845CC","layer":0}]}
+{"id":503,"expression_no_base_symbol":"⊥(⨵≀≌$7597$)","expression":"⊥(⨵≀≌∃⊬1DAD)","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":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7597,"base":16}}},"used_operators":["Q3PJZHRvZv","srAu1WTS94"],"dependent_operators":["fu6greOZ01","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7597","layer":2},{"info":"compute unary expreesion, input=7597, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-22791","layer":1},{"info":"compute unary expreesion, input=-22791, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(⨵≀≌∃⊬1DAD)=NaN","reverse_text":"NaN=⊥(⨵≀≌∃⊬1DAD)","cot":[{"info":"⨵≀≌∃⊬1DAD=∃⊬-5907","layer":1},{"info":"⊥∃⊬-5907=NaN","layer":0}]}
+{"id":504,"expression_no_base_symbol":"$1004$⪄$3209$⋷$1002$↬$7287$","expression":"∃⊬3EC⪄∃⊬C89⋷∃⊬3EA↬∃⊬1C77","highest_n_order":5,"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":1004,"base":16},"right_expr":{"type":"numeric_atoms","value":3209,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1002,"base":16},"right_expr":{"type":"numeric_atoms","value":7287,"base":16}}},"used_operators":["23Mk6UjR3U","SUmda5xLS4","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC"],"result":"∃⊬4CE9A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"number node, value=3209","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=3209, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-157517","layer":1},{"info":"number node, value=1002","layer":2},{"info":"number node, value=7287","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=7287, 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=-157517, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=315034","layer":0}],"base":16,"result_base":16,"text":"∃⊬3EC⪄∃⊬C89⋷∃⊬3EA↬∃⊬1C77=∃⊬4CE9A","reverse_text":"∃⊬4CE9A=∃⊬3EC⪄∃⊬C89⋷∃⊬3EA↬∃⊬1C77","cot":[{"info":"∃⊬3EC⪄∃⊬C89=∃⊬-2674D","layer":1},{"info":"∃⊬3EA↬∃⊬1C77=NaN","layer":1},{"info":"∃⊬-2674D⋷NaN=∃⊬4CE9A","layer":0}]}
+{"id":505,"expression_no_base_symbol":"⪲⇎$3355$⪮%⊝$1116$","expression":"⪲⇎∃⊬D1B⪮%⊝∃⊬45C","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":3355,"base":16},"right_expr":{"type":"numeric_atoms","value":1116,"base":16}}},"used_operators":["XPYlsWDdGa","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬36E4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3355","layer":2},{"info":"number node, value=1116","layer":2},{"info":"compute binary expreesion, left_input=3355, right_input=1116, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7026","layer":1},{"info":"compute unary expreesion, input=7026, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14052","layer":0}],"base":16,"result_base":16,"text":"⪲⇎∃⊬D1B⪮%⊝∃⊬45C=∃⊬36E4","reverse_text":"∃⊬36E4=⪲⇎∃⊬D1B⪮%⊝∃⊬45C","cot":[{"info":"∃⊬D1B⪮%⊝∃⊬45C=∃⊬1B72","layer":1},{"info":"⪲⇎∃⊬1B72=∃⊬36E4","layer":0}]}
+{"id":506,"expression_no_base_symbol":"($4786$⫸⊐$5114$)≣⋋","expression":"(∃⊬12B2⫸⊐∃⊬13FA)≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":538,"operation_count":2,"complexity_ratio":269.0,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4786,"base":16},"right_expr":{"type":"numeric_atoms","value":5114,"base":16}}},"used_operators":["Tcnh7f0tEr","mqXw5SEYmG"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4786","layer":2},{"info":"number node, value=5114","layer":2},{"info":"compute binary expreesion, left_input=4786, right_input=5114, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20331","layer":1},{"info":"compute unary expreesion, input=20331, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬12B2⫸⊐∃⊬13FA)≣⋋=∃⊬0","reverse_text":"∃⊬0=(∃⊬12B2⫸⊐∃⊬13FA)≣⋋","cot":[{"info":"∃⊬12B2⫸⊐∃⊬13FA=∃⊬4F6B","layer":1},{"info":"∃⊬4F6B≣⋋=∃⊬0","layer":0}]}
+{"id":507,"expression_no_base_symbol":"$4984$⨟⋌⩍$2136$-$1436$⊉≛↸$7956$","expression":"∃⊬1378⨟⋌⩍∃⊬858-∃⊬59C⊉≛↸∃⊬1F14","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":4984,"base":16},"right_expr":{"type":"numeric_atoms","value":2136,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1436,"base":16},"right_expr":{"type":"numeric_atoms","value":7956,"base":16}}},"used_operators":["rysDP5nf3Z","rGHVDoGpnC","DZ8iAZOCBD"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4984","layer":2},{"info":"number node, value=2136","layer":2},{"info":"compute binary expreesion, left_input=4984, right_input=2136, 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=1436","layer":2},{"info":"number node, value=7956","layer":2},{"info":"compute binary expreesion, left_input=1436, right_input=7956, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2872","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2872, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1378⨟⋌⩍∃⊬858-∃⊬59C⊉≛↸∃⊬1F14=NaN","reverse_text":"NaN=∃⊬1378⨟⋌⩍∃⊬858-∃⊬59C⊉≛↸∃⊬1F14","cot":[{"info":"∃⊬1378⨟⋌⩍∃⊬858=NaN","layer":1},{"info":"∃⊬59C⊉≛↸∃⊬1F14=∃⊬B38","layer":1},{"info":"NaN-∃⊬B38=NaN","layer":0}]}
+{"id":508,"expression_no_base_symbol":"($4328$%$1354$)-$1420$⨐⩸⫘$6792$","expression":"(∃⊬10E8%∃⊬54A)-∃⊬58C⨐⩸⫘∃⊬1A88","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":4328,"base":16},"right_expr":{"type":"numeric_atoms","value":1354,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1420,"base":16},"right_expr":{"type":"numeric_atoms","value":6792,"base":16}}},"used_operators":["rysDP5nf3Z","k8jYdgA6NY","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4328","layer":2},{"info":"number node, value=1354","layer":2},{"info":"compute binary expreesion, left_input=4328, right_input=1354, op_id = k8jYdgA6NY binary_op_definition= 'None', output=266","layer":1},{"info":"number node, value=1420","layer":2},{"info":"number node, value=6792","layer":2},{"info":"compute binary expreesion, left_input=1420, right_input=6792, 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=266, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬10E8%∃⊬54A)-∃⊬58C⨐⩸⫘∃⊬1A88=NaN","reverse_text":"NaN=(∃⊬10E8%∃⊬54A)-∃⊬58C⨐⩸⫘∃⊬1A88","cot":[{"info":"∃⊬10E8%∃⊬54A=∃⊬10A","layer":1},{"info":"∃⊬58C⨐⩸⫘∃⊬1A88=NaN","layer":1},{"info":"∃⊬10A-NaN=NaN","layer":0}]}
+{"id":509,"expression_no_base_symbol":"($4185$+⇶⊼$1114$)⨪↰⇹(≤/$2863$)","expression":"(∃⊬1059+⇶⊼∃⊬45A)⨪↰⇹(≤/∃⊬B2F)","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":4185,"base":16},"right_expr":{"type":"numeric_atoms","value":1114,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2863,"base":16}}},"used_operators":["tmPS8pqC7x","TpPTUOHfaN","eLAdDNolq6"],"dependent_operators":["rJVOvQCfKK","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4185","layer":2},{"info":"number node, value=1114","layer":2},{"info":"compute binary expreesion, left_input=4185, right_input=1114, 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=2863","layer":2},{"info":"compute unary expreesion, input=2863, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2379","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2379, 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":16,"result_base":16,"text":"(∃⊬1059+⇶⊼∃⊬45A)⨪↰⇹(≤/∃⊬B2F)=NaN","reverse_text":"NaN=(∃⊬1059+⇶⊼∃⊬45A)⨪↰⇹(≤/∃⊬B2F)","cot":[{"info":"∃⊬1059+⇶⊼∃⊬45A=NaN","layer":1},{"info":"≤/∃⊬B2F=∃⊬-94B","layer":1},{"info":"NaN⨪↰⇹∃⊬-94B=NaN","layer":0}]}
+{"id":510,"expression_no_base_symbol":"$1441$⪢$5497$⫸⊐($2948$+$6190$)","expression":"∃⊬5A1⪢∃⊬1579⫸⊐(∃⊬B84+∃⊬182E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5502,"operation_count":3,"complexity_ratio":1834.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1441,"base":16},"right_expr":{"type":"numeric_atoms","value":5497,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2948,"base":16},"right_expr":{"type":"numeric_atoms","value":6190,"base":16}}},"used_operators":["mqXw5SEYmG","dWAJyo7jo9","W4YGzv6Whe"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1441","layer":2},{"info":"number node, value=5497","layer":2},{"info":"compute binary expreesion, left_input=1441, right_input=5497, 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=2948","layer":2},{"info":"number node, value=6190","layer":2},{"info":"compute binary expreesion, left_input=2948, right_input=6190, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9138","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9138, 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":16,"result_base":16,"text":"∃⊬5A1⪢∃⊬1579⫸⊐(∃⊬B84+∃⊬182E)=NaN","reverse_text":"NaN=∃⊬5A1⪢∃⊬1579⫸⊐(∃⊬B84+∃⊬182E)","cot":[{"info":"∃⊬5A1⪢∃⊬1579=NaN","layer":1},{"info":"∃⊬B84+∃⊬182E=∃⊬23B2","layer":1},{"info":"NaN⫸⊐∃⊬23B2=NaN","layer":0}]}
+{"id":511,"expression_no_base_symbol":"$1227$⊴$5909$*($3047$⊉≛↸$1530$)","expression":"∃⊬4CB⊴∃⊬1715*(∃⊬BE7⊉≛↸∃⊬5FA)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5918,"operation_count":3,"complexity_ratio":1972.6666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1227,"base":16},"right_expr":{"type":"numeric_atoms","value":5909,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3047,"base":16},"right_expr":{"type":"numeric_atoms","value":1530,"base":16}}},"used_operators":["9HNa5Wba9A","Nsiff2A1zJ","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1227","layer":2},{"info":"number node, value=5909","layer":2},{"info":"compute binary expreesion, left_input=1227, right_input=5909, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3047","layer":2},{"info":"number node, value=1530","layer":2},{"info":"compute binary expreesion, left_input=3047, right_input=1530, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6094","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6094, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬4CB⊴∃⊬1715*(∃⊬BE7⊉≛↸∃⊬5FA)=NaN","reverse_text":"NaN=∃⊬4CB⊴∃⊬1715*(∃⊬BE7⊉≛↸∃⊬5FA)","cot":[{"info":"∃⊬4CB⊴∃⊬1715=NaN","layer":1},{"info":"∃⊬BE7⊉≛↸∃⊬5FA=∃⊬17CE","layer":1},{"info":"NaN*∃⊬17CE=NaN","layer":0}]}
+{"id":512,"expression_no_base_symbol":"($5519$%$2569$)⨎$5206$⩚⊴⇥$5299$","expression":"(∃⊬158F%∃⊬A09)⨎∃⊬1456⩚⊴⇥∃⊬14B3","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":5519,"base":16},"right_expr":{"type":"numeric_atoms","value":2569,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5206,"base":16},"right_expr":{"type":"numeric_atoms","value":5299,"base":16}}},"used_operators":["rJVOvQCfKK","k8jYdgA6NY","NTOWxs364D"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-2982","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5519","layer":2},{"info":"number node, value=2569","layer":2},{"info":"compute binary expreesion, left_input=5519, right_input=2569, op_id = k8jYdgA6NY binary_op_definition= 'None', output=381","layer":1},{"info":"number node, value=5206","layer":2},{"info":"number node, value=5299","layer":2},{"info":"compute binary expreesion, left_input=5206, right_input=5299, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10626","layer":1},{"info":"compute binary expreesion, left_input=381, right_input=-10626, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-10626","layer":0}],"base":16,"result_base":16,"text":"(∃⊬158F%∃⊬A09)⨎∃⊬1456⩚⊴⇥∃⊬14B3=∃⊬-2982","reverse_text":"∃⊬-2982=(∃⊬158F%∃⊬A09)⨎∃⊬1456⩚⊴⇥∃⊬14B3","cot":[{"info":"∃⊬158F%∃⊬A09=∃⊬17D","layer":1},{"info":"∃⊬1456⩚⊴⇥∃⊬14B3=∃⊬-2982","layer":1},{"info":"∃⊬17D⨎∃⊬-2982=∃⊬-2982","layer":0}]}
+{"id":513,"expression_no_base_symbol":"$3513$⋓$2418$⫡⨏$5755$⨪↰⇹$1173$","expression":"∃⊬DB9⋓∃⊬972⫡⨏∃⊬167B⨪↰⇹∃⊬495","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5775,"operation_count":3,"complexity_ratio":1925.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3513,"base":16},"right_expr":{"type":"numeric_atoms","value":2418,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5755,"base":16},"right_expr":{"type":"numeric_atoms","value":1173,"base":16}}},"used_operators":["QMFrweE19q","T2fj7uvVaJ","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK"],"result":"∃⊬3005","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3513","layer":2},{"info":"number node, value=2418","layer":2},{"info":"compute binary expreesion, left_input=3513, right_input=2418, 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=5755","layer":2},{"info":"number node, value=1173","layer":2},{"info":"compute binary expreesion, left_input=5755, right_input=1173, 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=5755","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5755, 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=12293","layer":0}],"base":16,"result_base":16,"text":"∃⊬DB9⋓∃⊬972⫡⨏∃⊬167B⨪↰⇹∃⊬495=∃⊬3005","reverse_text":"∃⊬3005=∃⊬DB9⋓∃⊬972⫡⨏∃⊬167B⨪↰⇹∃⊬495","cot":[{"info":"∃⊬DB9⋓∃⊬972=∃⊬0","layer":1},{"info":"∃⊬167B⨪↰⇹∃⊬495=∃⊬167B","layer":1},{"info":"∃⊬0⫡⨏∃⊬167B=∃⊬3005","layer":0}]}
+{"id":514,"expression_no_base_symbol":"⇁⨣⪵$6894$⋥≓≎$7686$","expression":"⇁⨣⪵∃⊬1AEE⋥≓≎∃⊬1E06","highest_n_order":5,"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":6894,"base":16},"right_expr":{"type":"numeric_atoms","value":7686,"base":16}}},"used_operators":["inkyxCbjAn","Qy55tPpLXF"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6894","layer":2},{"info":"number node, value=7686","layer":2},{"info":"compute binary expreesion, left_input=6894, right_input=7686, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8511","layer":1},{"info":"compute unary expreesion, input=8511, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵∃⊬1AEE⋥≓≎∃⊬1E06=NaN","reverse_text":"NaN=⇁⨣⪵∃⊬1AEE⋥≓≎∃⊬1E06","cot":[{"info":"∃⊬1AEE⋥≓≎∃⊬1E06=∃⊬213F","layer":1},{"info":"⇁⨣⪵∃⊬213F=NaN","layer":0}]}
+{"id":515,"expression_no_base_symbol":"$1169$⪮%⊝$1583$↙($1367$-$1793$)","expression":"∃⊬491⪮%⊝∃⊬62F↙(∃⊬557-∃⊬701)","highest_n_order":3,"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":1169,"base":16},"right_expr":{"type":"numeric_atoms","value":1583,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1367,"base":16},"right_expr":{"type":"numeric_atoms","value":1793,"base":16}}},"used_operators":["yyfyN0ffXY","IWmyXbctLI","rysDP5nf3Z"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬4FE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":2},{"info":"number node, value=1583","layer":2},{"info":"compute binary expreesion, left_input=1169, right_input=1583, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2654","layer":1},{"info":"number node, value=1367","layer":2},{"info":"number node, value=1793","layer":2},{"info":"compute binary expreesion, left_input=1367, right_input=1793, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-426","layer":1},{"info":"compute binary expreesion, left_input=2654, right_input=-426, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=1278","layer":0}],"base":16,"result_base":16,"text":"∃⊬491⪮%⊝∃⊬62F↙(∃⊬557-∃⊬701)=∃⊬4FE","reverse_text":"∃⊬4FE=∃⊬491⪮%⊝∃⊬62F↙(∃⊬557-∃⊬701)","cot":[{"info":"∃⊬491⪮%⊝∃⊬62F=∃⊬A5E","layer":1},{"info":"∃⊬557-∃⊬701=∃⊬-1AA","layer":1},{"info":"∃⊬A5E↙∃⊬-1AA=∃⊬4FE","layer":0}]}
+{"id":516,"expression_no_base_symbol":"(⋗⩬⋾$2616$)⋷$2367$⊴$3118$","expression":"(⋗⩬⋾∃⊬A38)⋷∃⊬93F⊴∃⊬C2E","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3129,"operation_count":3,"complexity_ratio":1043.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2616,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2367,"base":16},"right_expr":{"type":"numeric_atoms","value":3118,"base":16}}},"used_operators":["23Mk6UjR3U","DpFCA1CohY","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"∃⊬3D50","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2616","layer":2},{"info":"compute unary expreesion, input=2616, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7848","layer":1},{"info":"number node, value=2367","layer":2},{"info":"number node, value=3118","layer":2},{"info":"compute binary expreesion, left_input=2367, right_input=3118, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7848, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15696","layer":0}],"base":16,"result_base":16,"text":"(⋗⩬⋾∃⊬A38)⋷∃⊬93F⊴∃⊬C2E=∃⊬3D50","reverse_text":"∃⊬3D50=(⋗⩬⋾∃⊬A38)⋷∃⊬93F⊴∃⊬C2E","cot":[{"info":"⋗⩬⋾∃⊬A38=∃⊬-1EA8","layer":1},{"info":"∃⊬93F⊴∃⊬C2E=NaN","layer":1},{"info":"∃⊬-1EA8⋷NaN=∃⊬3D50","layer":0}]}
+{"id":517,"expression_no_base_symbol":"∂($3403$⋳⪒$5371$)","expression":"∂(∃⊬D4B⋳⪒∃⊬14FB)","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":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3403,"base":16},"right_expr":{"type":"numeric_atoms","value":5371,"base":16}}},"used_operators":["Uaa54Peajs","12rbrZMWeM"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3403","layer":2},{"info":"number node, value=5371","layer":2},{"info":"compute binary expreesion, left_input=3403, right_input=5371, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1148","layer":1},{"info":"compute unary expreesion, input=1148, 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":16,"result_base":16,"text":"∂(∃⊬D4B⋳⪒∃⊬14FB)=NaN","reverse_text":"NaN=∂(∃⊬D4B⋳⪒∃⊬14FB)","cot":[{"info":"∃⊬D4B⋳⪒∃⊬14FB=∃⊬47C","layer":1},{"info":"∂∃⊬47C=NaN","layer":0}]}
+{"id":518,"expression_no_base_symbol":"($6457$⪠⩆⊳)⋳⪒($1160$⇼⇔∾$3616$)","expression":"(∃⊬1939⪠⩆⊳)⋳⪒(∃⊬488⇼⇔∾∃⊬E20)","highest_n_order":1,"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":6457,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1160,"base":16},"right_expr":{"type":"numeric_atoms","value":3616,"base":16}}},"used_operators":["12rbrZMWeM","JLbD19bQDL","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-AB7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6457","layer":2},{"info":"compute unary expreesion, input=6457, 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=1160","layer":2},{"info":"number node, value=3616","layer":2},{"info":"compute binary expreesion, left_input=1160, right_input=3616, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2456","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2456, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2743","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1939⪠⩆⊳)⋳⪒(∃⊬488⇼⇔∾∃⊬E20)=∃⊬-AB7","reverse_text":"∃⊬-AB7=(∃⊬1939⪠⩆⊳)⋳⪒(∃⊬488⇼⇔∾∃⊬E20)","cot":[{"info":"∃⊬1939⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬488⇼⇔∾∃⊬E20=∃⊬998","layer":1},{"info":"∃⊬0⋳⪒∃⊬998=∃⊬-AB7","layer":0}]}
+{"id":519,"expression_no_base_symbol":"(-$4371$)⪨≂$1015$≧⫂∧$1060$","expression":"(-∃⊬1113)⪨≂∃⊬3F7≧⫂∧∃⊬424","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":4371,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1015,"base":16},"right_expr":{"type":"numeric_atoms","value":1060,"base":16}}},"used_operators":["sdazOOVcIp","t8gj7n24qd","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-2656","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4371","layer":2},{"info":"compute unary expreesion, input=4371, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4371","layer":1},{"info":"number node, value=1015","layer":2},{"info":"number node, value=1060","layer":2},{"info":"compute binary expreesion, left_input=1015, right_input=1060, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=587","layer":1},{"info":"compute binary expreesion, left_input=-4371, right_input=587, 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=-9814","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬1113)⪨≂∃⊬3F7≧⫂∧∃⊬424=∃⊬-2656","reverse_text":"∃⊬-2656=(-∃⊬1113)⪨≂∃⊬3F7≧⫂∧∃⊬424","cot":[{"info":"-∃⊬1113=∃⊬-1113","layer":1},{"info":"∃⊬3F7≧⫂∧∃⊬424=∃⊬24B","layer":1},{"info":"∃⊬-1113⪨≂∃⊬24B=∃⊬-2656","layer":0}]}
+{"id":520,"expression_no_base_symbol":"($1341$∲⫓$2471$)⨓(⪝⪂⫅$1019$)","expression":"(∃⊬53D∲⫓∃⊬9A7)⨓(⪝⪂⫅∃⊬3FB)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":149951,"operation_count":3,"complexity_ratio":49983.666666666664,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1341,"base":16},"right_expr":{"type":"numeric_atoms","value":2471,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1019,"base":16}}},"used_operators":["3ViojmjbAp","i8ToyICDmI","XTarYq4gQB"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"∃⊬-24924","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1341","layer":2},{"info":"number node, value=2471","layer":2},{"info":"compute binary expreesion, left_input=1341, right_input=2471, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1019","layer":2},{"info":"compute unary expreesion, input=1019, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-149793","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-149793, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-149796","layer":0}],"base":16,"result_base":16,"text":"(∃⊬53D∲⫓∃⊬9A7)⨓(⪝⪂⫅∃⊬3FB)=∃⊬-24924","reverse_text":"∃⊬-24924=(∃⊬53D∲⫓∃⊬9A7)⨓(⪝⪂⫅∃⊬3FB)","cot":[{"info":"∃⊬53D∲⫓∃⊬9A7=∃⊬0","layer":1},{"info":"⪝⪂⫅∃⊬3FB=∃⊬-24921","layer":1},{"info":"∃⊬0⨓∃⊬-24921=∃⊬-24924","layer":0}]}
+{"id":521,"expression_no_base_symbol":"$5128$⨰$3491$⩚⊴⇥($1342$%$5538$)","expression":"∃⊬1408⨰∃⊬DA3⩚⊴⇥(∃⊬53E%∃⊬15A2)","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":5128,"base":16},"right_expr":{"type":"numeric_atoms","value":3491,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1342,"base":16},"right_expr":{"type":"numeric_atoms","value":5538,"base":16}}},"used_operators":["NTOWxs364D","eewbuw0ToL","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-C26","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5128","layer":2},{"info":"number node, value=3491","layer":2},{"info":"compute binary expreesion, left_input=5128, right_input=3491, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1647","layer":1},{"info":"number node, value=1342","layer":2},{"info":"number node, value=5538","layer":2},{"info":"compute binary expreesion, left_input=1342, right_input=5538, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1342","layer":1},{"info":"compute binary expreesion, left_input=1647, right_input=1342, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3110","layer":0}],"base":16,"result_base":16,"text":"∃⊬1408⨰∃⊬DA3⩚⊴⇥(∃⊬53E%∃⊬15A2)=∃⊬-C26","reverse_text":"∃⊬-C26=∃⊬1408⨰∃⊬DA3⩚⊴⇥(∃⊬53E%∃⊬15A2)","cot":[{"info":"∃⊬1408⨰∃⊬DA3=∃⊬66F","layer":1},{"info":"∃⊬53E%∃⊬15A2=∃⊬53E","layer":1},{"info":"∃⊬66F⩚⊴⇥∃⊬53E=∃⊬-C26","layer":0}]}
+{"id":522,"expression_no_base_symbol":"$4597$↬$3445$⨓$4394$⪘⫢$2788$","expression":"∃⊬11F5↬∃⊬D75⨓∃⊬112A⪘⫢∃⊬AE4","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8686,"operation_count":3,"complexity_ratio":2895.3333333333335,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4597,"base":16},"right_expr":{"type":"numeric_atoms","value":3445,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4394,"base":16},"right_expr":{"type":"numeric_atoms","value":2788,"base":16}}},"used_operators":["3ViojmjbAp","B5M0gjZbta","oacrs7FA3X"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬-21DB","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4597","layer":2},{"info":"number node, value=3445","layer":2},{"info":"compute binary expreesion, left_input=4597, right_input=3445, 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=4394","layer":2},{"info":"number node, value=2788","layer":2},{"info":"compute binary expreesion, left_input=4394, right_input=2788, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8664","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8664, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8667","layer":0}],"base":16,"result_base":16,"text":"∃⊬11F5↬∃⊬D75⨓∃⊬112A⪘⫢∃⊬AE4=∃⊬-21DB","reverse_text":"∃⊬-21DB=∃⊬11F5↬∃⊬D75⨓∃⊬112A⪘⫢∃⊬AE4","cot":[{"info":"∃⊬11F5↬∃⊬D75=NaN","layer":1},{"info":"∃⊬112A⪘⫢∃⊬AE4=∃⊬21D8","layer":1},{"info":"NaN⨓∃⊬21D8=∃⊬-21DB","layer":0}]}
+{"id":523,"expression_no_base_symbol":"($5535$⨁⊸⫻)⪄($2438$*$4276$)","expression":"(∃⊬159F⨁⊸⫻)⪄(∃⊬986*∃⊬10B4)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2534,"operation_count":3,"complexity_ratio":844.6666666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5535,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2438,"base":16},"right_expr":{"type":"numeric_atoms","value":4276,"base":16}}},"used_operators":["SUmda5xLS4","glklzrTFfD","9HNa5Wba9A"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe"],"result":"∃⊬-288B985","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5535","layer":2},{"info":"compute unary expreesion, input=5535, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5535","layer":1},{"info":"number node, value=2438","layer":2},{"info":"number node, value=4276","layer":2},{"info":"compute binary expreesion, left_input=2438, right_input=4276, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10424888","layer":1},{"info":"compute binary expreesion, left_input=5535, right_input=10424888, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-42514821","layer":0}],"base":16,"result_base":16,"text":"(∃⊬159F⨁⊸⫻)⪄(∃⊬986*∃⊬10B4)=∃⊬-288B985","reverse_text":"∃⊬-288B985=(∃⊬159F⨁⊸⫻)⪄(∃⊬986*∃⊬10B4)","cot":[{"info":"∃⊬159F⨁⊸⫻=∃⊬159F","layer":1},{"info":"∃⊬986*∃⊬10B4=∃⊬9F1238","layer":1},{"info":"∃⊬159F⪄∃⊬9F1238=∃⊬-288B985","layer":0}]}
+{"id":524,"expression_no_base_symbol":"($3473$⨎$2179$)⊴($5465$+⇶⊼$7121$)","expression":"(∃⊬D91⨎∃⊬883)⊴(∃⊬1559+⇶⊼∃⊬1BD1)","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":3473,"base":16},"right_expr":{"type":"numeric_atoms","value":2179,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5465,"base":16},"right_expr":{"type":"numeric_atoms","value":7121,"base":16}}},"used_operators":["Nsiff2A1zJ","rJVOvQCfKK","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3473","layer":2},{"info":"number node, value=2179","layer":2},{"info":"compute binary expreesion, left_input=3473, right_input=2179, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2179","layer":1},{"info":"number node, value=5465","layer":2},{"info":"number node, value=7121","layer":2},{"info":"compute binary expreesion, left_input=5465, right_input=7121, 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=2179, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D91⨎∃⊬883)⊴(∃⊬1559+⇶⊼∃⊬1BD1)=NaN","reverse_text":"NaN=(∃⊬D91⨎∃⊬883)⊴(∃⊬1559+⇶⊼∃⊬1BD1)","cot":[{"info":"∃⊬D91⨎∃⊬883=∃⊬883","layer":1},{"info":"∃⊬1559+⇶⊼∃⊬1BD1=NaN","layer":1},{"info":"∃⊬883⊴NaN=NaN","layer":0}]}
+{"id":525,"expression_no_base_symbol":"($4248$⪄$8007$)⇷($1073$↺$2629$)","expression":"(∃⊬1098⪄∃⊬1F47)⇷(∃⊬431↺∃⊬A45)","highest_n_order":3,"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":4248,"base":16},"right_expr":{"type":"numeric_atoms","value":8007,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1073,"base":16},"right_expr":{"type":"numeric_atoms","value":2629,"base":16}}},"used_operators":["mp7IySMOzn","SUmda5xLS4","7j4O788W3g"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬148A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4248","layer":2},{"info":"number node, value=8007","layer":2},{"info":"compute binary expreesion, left_input=4248, right_input=8007, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-656821","layer":1},{"info":"number node, value=1073","layer":2},{"info":"number node, value=2629","layer":2},{"info":"compute binary expreesion, left_input=1073, right_input=2629, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2629","layer":1},{"info":"compute binary expreesion, left_input=-656821, right_input=2629, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5258","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1098⪄∃⊬1F47)⇷(∃⊬431↺∃⊬A45)=∃⊬148A","reverse_text":"∃⊬148A=(∃⊬1098⪄∃⊬1F47)⇷(∃⊬431↺∃⊬A45)","cot":[{"info":"∃⊬1098⪄∃⊬1F47=∃⊬-A05B5","layer":1},{"info":"∃⊬431↺∃⊬A45=∃⊬A45","layer":1},{"info":"∃⊬-A05B5⇷∃⊬A45=∃⊬148A","layer":0}]}
+{"id":526,"expression_no_base_symbol":"$6642$⨰$1851$⨽(≉$4907$)","expression":"∃⊬19F2⨰∃⊬73B⨽(≉∃⊬132B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4818,"operation_count":3,"complexity_ratio":1606.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6642,"base":16},"right_expr":{"type":"numeric_atoms","value":1851,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4907,"base":16}}},"used_operators":["8HhzD0ZcuI","eewbuw0ToL","e1ybzncUwg"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-41F5B1B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6642","layer":2},{"info":"number node, value=1851","layer":2},{"info":"compute binary expreesion, left_input=6642, right_input=1851, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4801","layer":1},{"info":"number node, value=4907","layer":2},{"info":"compute unary expreesion, input=4907, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5438","layer":1},{"info":"compute binary expreesion, left_input=4801, right_input=5438, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-69163803","layer":0}],"base":16,"result_base":16,"text":"∃⊬19F2⨰∃⊬73B⨽(≉∃⊬132B)=∃⊬-41F5B1B","reverse_text":"∃⊬-41F5B1B=∃⊬19F2⨰∃⊬73B⨽(≉∃⊬132B)","cot":[{"info":"∃⊬19F2⨰∃⊬73B=∃⊬12C1","layer":1},{"info":"≉∃⊬132B=∃⊬153E","layer":1},{"info":"∃⊬12C1⨽∃⊬153E=∃⊬-41F5B1B","layer":0}]}
+{"id":527,"expression_no_base_symbol":"($5025$⇋≉)↬($1198$⊘)","expression":"(∃⊬13A1⇋≉)↬(∃⊬4AE⊘)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5025,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1198,"base":16}}},"used_operators":["B5M0gjZbta","XIabStNQrY","gu96TGCTMs"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5025","layer":2},{"info":"compute unary expreesion, input=5025, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9952","layer":1},{"info":"number node, value=1198","layer":2},{"info":"compute unary expreesion, input=1198, 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=9952, 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":16,"result_base":16,"text":"(∃⊬13A1⇋≉)↬(∃⊬4AE⊘)=NaN","reverse_text":"NaN=(∃⊬13A1⇋≉)↬(∃⊬4AE⊘)","cot":[{"info":"∃⊬13A1⇋≉=∃⊬26E0","layer":1},{"info":"∃⊬4AE⊘=∃⊬0","layer":1},{"info":"∃⊬26E0↬∃⊬0=NaN","layer":0}]}
+{"id":528,"expression_no_base_symbol":"⪲⇎($1258$⊉≛↸$3558$)","expression":"⪲⇎(∃⊬4EA⊉≛↸∃⊬DE6)","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":1258,"base":16},"right_expr":{"type":"numeric_atoms","value":3558,"base":16}}},"used_operators":["XPYlsWDdGa","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬13A8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1258","layer":2},{"info":"number node, value=3558","layer":2},{"info":"compute binary expreesion, left_input=1258, right_input=3558, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2516","layer":1},{"info":"compute unary expreesion, input=2516, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5032","layer":0}],"base":16,"result_base":16,"text":"⪲⇎(∃⊬4EA⊉≛↸∃⊬DE6)=∃⊬13A8","reverse_text":"∃⊬13A8=⪲⇎(∃⊬4EA⊉≛↸∃⊬DE6)","cot":[{"info":"∃⊬4EA⊉≛↸∃⊬DE6=∃⊬9D4","layer":1},{"info":"⪲⇎∃⊬9D4=∃⊬13A8","layer":0}]}
+{"id":529,"expression_no_base_symbol":"⩦⩻⨪($2701$⩨$5483$)","expression":"⩦⩻⨪(∃⊬A8D⩨∃⊬156B)","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":2701,"base":16},"right_expr":{"type":"numeric_atoms","value":5483,"base":16}}},"used_operators":["2td37pGCOC","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬-6","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2701","layer":2},{"info":"number node, value=5483","layer":2},{"info":"compute binary expreesion, left_input=2701, right_input=5483, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"compute unary expreesion, input=-6, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-6","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪(∃⊬A8D⩨∃⊬156B)=∃⊬-6","reverse_text":"∃⊬-6=⩦⩻⨪(∃⊬A8D⩨∃⊬156B)","cot":[{"info":"∃⊬A8D⩨∃⊬156B=∃⊬-6","layer":1},{"info":"⩦⩻⨪∃⊬-6=∃⊬-6","layer":0}]}
+{"id":530,"expression_no_base_symbol":"$4565$⋝⋈⪟$4097$⨳⩥⨓($5446$⫌⩹⨱)","expression":"∃⊬11D5⋝⋈⪟∃⊬1001⨳⩥⨓(∃⊬1546⫌⩹⨱)","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":4565,"base":16},"right_expr":{"type":"numeric_atoms","value":4097,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5446,"base":16}}},"used_operators":["nCS4ZIUYfx","2DDjHMKMc0","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬1E30","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4565","layer":2},{"info":"number node, value=4097","layer":2},{"info":"compute binary expreesion, left_input=4565, right_input=4097, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4565","layer":1},{"info":"number node, value=5446","layer":2},{"info":"compute unary expreesion, input=5446, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=12293","layer":1},{"info":"compute binary expreesion, left_input=4565, right_input=12293, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7728","layer":0}],"base":16,"result_base":16,"text":"∃⊬11D5⋝⋈⪟∃⊬1001⨳⩥⨓(∃⊬1546⫌⩹⨱)=∃⊬1E30","reverse_text":"∃⊬1E30=∃⊬11D5⋝⋈⪟∃⊬1001⨳⩥⨓(∃⊬1546⫌⩹⨱)","cot":[{"info":"∃⊬11D5⋝⋈⪟∃⊬1001=∃⊬11D5","layer":1},{"info":"∃⊬1546⫌⩹⨱=∃⊬3005","layer":1},{"info":"∃⊬11D5⨳⩥⨓∃⊬3005=∃⊬1E30","layer":0}]}
+{"id":531,"expression_no_base_symbol":"↔($1955$/$4387$)","expression":"↔(∃⊬7A3/∃⊬1123)","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":1955,"base":16},"right_expr":{"type":"numeric_atoms","value":4387,"base":16}}},"used_operators":["ruOEQAzv1W","XhwjNDsVaA"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z"],"result":"∃⊬315","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1955","layer":2},{"info":"number node, value=4387","layer":2},{"info":"compute binary expreesion, left_input=1955, right_input=4387, 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":16,"result_base":16,"text":"↔(∃⊬7A3/∃⊬1123)=∃⊬315","reverse_text":"∃⊬315=↔(∃⊬7A3/∃⊬1123)","cot":[{"info":"∃⊬7A3/∃⊬1123=∃⊬0","layer":1},{"info":"↔∃⊬0=∃⊬315","layer":0}]}
+{"id":532,"expression_no_base_symbol":"(+⊝⨔$2364$)⨵⪆$2364$⫥∨⫟$1682$","expression":"(+⊝⨔∃⊬93C)⨵⪆∃⊬93C⫥∨⫟∃⊬692","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":195,"operation_count":3,"complexity_ratio":65.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2364,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2364,"base":16},"right_expr":{"type":"numeric_atoms","value":1682,"base":16}}},"used_operators":["2DQ55sFlQl","DhbWaqg5eL","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2364","layer":2},{"info":"compute unary expreesion, input=2364, 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=2364","layer":2},{"info":"number node, value=1682","layer":2},{"info":"compute binary expreesion, left_input=2364, right_input=1682, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔∃⊬93C)⨵⪆∃⊬93C⫥∨⫟∃⊬692=∃⊬A0","reverse_text":"∃⊬A0=(+⊝⨔∃⊬93C)⨵⪆∃⊬93C⫥∨⫟∃⊬692","cot":[{"info":"+⊝⨔∃⊬93C=∃⊬5F2","layer":1},{"info":"∃⊬93C⫥∨⫟∃⊬692=NaN","layer":1},{"info":"∃⊬5F2⨵⪆NaN=∃⊬A0","layer":0}]}
+{"id":533,"expression_no_base_symbol":"$4913$⋥≓≎$2482$+$1073$≎⊠⪸$5991$","expression":"∃⊬1331⋥≓≎∃⊬9B2+∃⊬431≎⊠⪸∃⊬1767","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":4913,"base":16},"right_expr":{"type":"numeric_atoms","value":2482,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1073,"base":16},"right_expr":{"type":"numeric_atoms","value":5991,"base":16}}},"used_operators":["W4YGzv6Whe","Qy55tPpLXF","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬43C0E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4913","layer":2},{"info":"number node, value=2482","layer":2},{"info":"compute binary expreesion, left_input=4913, right_input=2482, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=84","layer":1},{"info":"number node, value=1073","layer":2},{"info":"number node, value=5991","layer":2},{"info":"compute binary expreesion, left_input=1073, right_input=5991, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=277434","layer":1},{"info":"compute binary expreesion, left_input=84, right_input=277434, op_id = W4YGzv6Whe binary_op_definition= 'None', output=277518","layer":0}],"base":16,"result_base":16,"text":"∃⊬1331⋥≓≎∃⊬9B2+∃⊬431≎⊠⪸∃⊬1767=∃⊬43C0E","reverse_text":"∃⊬43C0E=∃⊬1331⋥≓≎∃⊬9B2+∃⊬431≎⊠⪸∃⊬1767","cot":[{"info":"∃⊬1331⋥≓≎∃⊬9B2=∃⊬54","layer":1},{"info":"∃⊬431≎⊠⪸∃⊬1767=∃⊬43BBA","layer":1},{"info":"∃⊬54+∃⊬43BBA=∃⊬43C0E","layer":0}]}
+{"id":534,"expression_no_base_symbol":"⨑⩽⪐($3702$+$1123$)","expression":"⨑⩽⪐(∃⊬E76+∃⊬463)","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":3702,"base":16},"right_expr":{"type":"numeric_atoms","value":1123,"base":16}}},"used_operators":["AF7qkfDlqP","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-11C8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3702","layer":2},{"info":"number node, value=1123","layer":2},{"info":"compute binary expreesion, left_input=3702, right_input=1123, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4825","layer":1},{"info":"compute unary expreesion, input=4825, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4552","layer":0}],"base":16,"result_base":16,"text":"⨑⩽⪐(∃⊬E76+∃⊬463)=∃⊬-11C8","reverse_text":"∃⊬-11C8=⨑⩽⪐(∃⊬E76+∃⊬463)","cot":[{"info":"∃⊬E76+∃⊬463=∃⊬12D9","layer":1},{"info":"⨑⩽⪐∃⊬12D9=∃⊬-11C8","layer":0}]}
+{"id":535,"expression_no_base_symbol":"$1003$≎⊠⪸$1685$⋥≓≎$2401$⋥≓≎$7117$","expression":"∃⊬3EB≎⊠⪸∃⊬695⋥≓≎∃⊬961⋥≓≎∃⊬1BCD","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":1003,"base":16},"right_expr":{"type":"numeric_atoms","value":1685,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2401,"base":16},"right_expr":{"type":"numeric_atoms","value":7117,"base":16}}},"used_operators":["Qy55tPpLXF","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬-39813","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":2},{"info":"number node, value=1685","layer":2},{"info":"compute binary expreesion, left_input=1003, right_input=1685, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=259304","layer":1},{"info":"number node, value=2401","layer":2},{"info":"number node, value=7117","layer":2},{"info":"compute binary expreesion, left_input=2401, right_input=7117, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11866","layer":1},{"info":"compute binary expreesion, left_input=259304, right_input=11866, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-235539","layer":0}],"base":16,"result_base":16,"text":"∃⊬3EB≎⊠⪸∃⊬695⋥≓≎∃⊬961⋥≓≎∃⊬1BCD=∃⊬-39813","reverse_text":"∃⊬-39813=∃⊬3EB≎⊠⪸∃⊬695⋥≓≎∃⊬961⋥≓≎∃⊬1BCD","cot":[{"info":"∃⊬3EB≎⊠⪸∃⊬695=∃⊬3F4E8","layer":1},{"info":"∃⊬961⋥≓≎∃⊬1BCD=∃⊬2E5A","layer":1},{"info":"∃⊬3F4E8⋥≓≎∃⊬2E5A=∃⊬-39813","layer":0}]}
+{"id":536,"expression_no_base_symbol":"($5752$⩠)⊴($1873$⩚⊴⇥$6341$)","expression":"(∃⊬1678⩠)⊴(∃⊬751⩚⊴⇥∃⊬18C5)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8362,"operation_count":3,"complexity_ratio":2787.3333333333335,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5752,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1873,"base":16},"right_expr":{"type":"numeric_atoms","value":6341,"base":16}}},"used_operators":["Nsiff2A1zJ","sJAwomhLZr","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5752","layer":2},{"info":"compute unary expreesion, input=5752, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1873","layer":2},{"info":"number node, value=6341","layer":2},{"info":"compute binary expreesion, left_input=1873, right_input=6341, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8335","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-8335, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1678⩠)⊴(∃⊬751⩚⊴⇥∃⊬18C5)=NaN","reverse_text":"NaN=(∃⊬1678⩠)⊴(∃⊬751⩚⊴⇥∃⊬18C5)","cot":[{"info":"∃⊬1678⩠=∃⊬0","layer":1},{"info":"∃⊬751⩚⊴⇥∃⊬18C5=∃⊬-208F","layer":1},{"info":"∃⊬0⊴∃⊬-208F=NaN","layer":0}]}
+{"id":537,"expression_no_base_symbol":"$2019$⪮%⊝$1021$⪐","expression":"∃��7E3⪮%⊝∃⊬3FD⪐","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":2019,"base":16},"right_expr":{"type":"numeric_atoms","value":1021,"base":16}}},"used_operators":["eH2TOUuTDT","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬2204","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2019","layer":2},{"info":"number node, value=1021","layer":2},{"info":"compute binary expreesion, left_input=2019, right_input=1021, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4354","layer":1},{"info":"compute unary expreesion, input=4354, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8708","layer":0}],"base":16,"result_base":16,"text":"∃⊬7E3⪮%⊝∃⊬3FD⪐=∃⊬2204","reverse_text":"∃⊬2204=∃⊬7E3⪮%⊝∃⊬3FD⪐","cot":[{"info":"∃⊬7E3⪮%⊝∃⊬3FD=∃⊬1102","layer":1},{"info":"∃⊬1102⪐=∃⊬2204","layer":0}]}
+{"id":538,"expression_no_base_symbol":"($2106$⨐⩸⫘$1212$)⋥≓≎(≉$6722$)","expression":"(∃⊬83A⨐⩸⫘∃⊬4BC)⋥≓≎(≉∃⊬1A42)","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":2106,"base":16},"right_expr":{"type":"numeric_atoms","value":1212,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6722,"base":16}}},"used_operators":["Qy55tPpLXF","fu6greOZ01","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2106","layer":2},{"info":"number node, value=1212","layer":2},{"info":"compute binary expreesion, left_input=2106, right_input=1212, 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=6722","layer":2},{"info":"compute unary expreesion, input=6722, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7253","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7253, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"(∃⊬83A⨐⩸⫘∃⊬4BC)⋥≓≎(≉∃⊬1A42)=∃⊬43","reverse_text":"∃⊬43=(∃⊬83A⨐⩸⫘∃⊬4BC)⋥≓≎(≉∃⊬1A42)","cot":[{"info":"∃⊬83A⨐⩸⫘∃⊬4BC=NaN","layer":1},{"info":"≉∃⊬1A42=∃⊬1C55","layer":1},{"info":"NaN⋥≓≎∃⊬1C55=∃⊬43","layer":0}]}
+{"id":539,"expression_no_base_symbol":"⫓⪴(⫓⪴$5346$)","expression":"⫓⪴(⫓⪴∃⊬14E2)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":28585062,"operation_count":2,"complexity_ratio":14292531.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5346,"base":16}}},"used_operators":["eLxqMNBOBk"],"dependent_operators":["9HNa5Wba9A"],"result":"Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5346","layer":2},{"info":"compute unary expreesion, input=5346, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=28579716","layer":1},{"info":"compute unary expreesion, input=28579716, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":0}],"base":16,"result_base":16,"text":"⫓⪴(⫓⪴∃⊬14E2)=Inf","reverse_text":"Inf=⫓⪴(⫓⪴∃⊬14E2)","cot":[{"info":"⫓⪴∃⊬14E2=∃⊬1B41784","layer":1},{"info":"⫓⪴∃⊬1B41784=Inf","layer":0}]}
+{"id":540,"expression_no_base_symbol":"⊄⩳↩(⨞⊢$4672$)","expression":"⊄⩳↩(⨞⊢∃⊬1240)","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":4672,"base":16}}},"used_operators":["8w2t5hMYqp","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬38CA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4672","layer":2},{"info":"compute unary expreesion, input=4672, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4846","layer":1},{"info":"compute unary expreesion, input=-4846, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=14538","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(⨞⊢∃⊬1240)=∃⊬38CA","reverse_text":"∃⊬38CA=⊄⩳↩(⨞⊢∃⊬1240)","cot":[{"info":"⨞⊢∃⊬1240=∃⊬-12EE","layer":1},{"info":"⊄⩳↩∃⊬-12EE=∃⊬38CA","layer":0}]}
+{"id":541,"expression_no_base_symbol":"($3219$⫡⨏$7820$)-(⊄⩳↩$9090$)","expression":"(∃⊬C93⫡⨏∃⊬1E8C)-(⊄⩳↩∃⊬2382)","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":3219,"base":16},"right_expr":{"type":"numeric_atoms","value":7820,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":9090,"base":16}}},"used_operators":["rysDP5nf3Z","QMFrweE19q","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬E98C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3219","layer":2},{"info":"number node, value=7820","layer":2},{"info":"compute binary expreesion, left_input=3219, right_input=7820, 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=32518","layer":1},{"info":"number node, value=9090","layer":2},{"info":"compute unary expreesion, input=9090, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-27270","layer":1},{"info":"compute binary expreesion, left_input=32518, right_input=-27270, op_id = rysDP5nf3Z binary_op_definition= 'None', output=59788","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C93⫡⨏∃⊬1E8C)-(⊄⩳↩∃⊬2382)=∃⊬E98C","reverse_text":"∃⊬E98C=(∃⊬C93⫡⨏∃⊬1E8C)-(⊄⩳↩∃⊬2382)","cot":[{"info":"∃⊬C93⫡⨏∃⊬1E8C=∃⊬7F06","layer":1},{"info":"⊄⩳↩∃⊬2382=∃⊬-6A86","layer":1},{"info":"∃⊬7F06-∃⊬-6A86=∃⊬E98C","layer":0}]}
+{"id":542,"expression_no_base_symbol":"⋗⩬⋾$4876$⫥∨⫟$1605$","expression":"⋗⩬⋾∃⊬130C⫥∨⫟∃⊬645","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":4876,"base":16},"right_expr":{"type":"numeric_atoms","value":1605,"base":16}}},"used_operators":["DpFCA1CohY","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4876","layer":2},{"info":"number node, value=1605","layer":2},{"info":"compute binary expreesion, left_input=4876, right_input=1605, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":16,"result_base":16,"text":"⋗⩬⋾∃⊬130C⫥∨⫟∃⊬645=NaN","reverse_text":"NaN=⋗⩬⋾∃⊬130C⫥∨⫟∃⊬645","cot":[{"info":"∃⊬130C⫥∨⫟∃⊬645=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
+{"id":543,"expression_no_base_symbol":"($5415$⋷$4050$)⊭↱($4617$⊉≛↸$1417$)","expression":"(∃⊬1527⋷∃⊬FD2)⊭↱(∃⊬1209⊉≛↸∃⊬589)","highest_n_order":1,"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":5415,"base":16},"right_expr":{"type":"numeric_atoms","value":4050,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4617,"base":16},"right_expr":{"type":"numeric_atoms","value":1417,"base":16}}},"used_operators":["COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬332F","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5415","layer":2},{"info":"number node, value=4050","layer":2},{"info":"compute binary expreesion, left_input=5415, right_input=4050, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2685","layer":1},{"info":"number node, value=4617","layer":2},{"info":"number node, value=1417","layer":2},{"info":"compute binary expreesion, left_input=4617, right_input=1417, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9234","layer":1},{"info":"compute binary expreesion, left_input=2685, right_input=9234, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=13103","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1527⋷∃⊬FD2)⊭↱(∃⊬1209⊉≛↸∃⊬589)=∃⊬332F","reverse_text":"∃⊬332F=(∃⊬1527⋷∃⊬FD2)⊭↱(∃⊬1209⊉≛↸∃⊬589)","cot":[{"info":"∃⊬1527⋷∃⊬FD2=∃⊬A7D","layer":1},{"info":"∃⊬1209⊉≛↸∃⊬589=∃⊬2412","layer":1},{"info":"∃⊬A7D⊭↱∃⊬2412=∃⊬332F","layer":0}]}
+{"id":544,"expression_no_base_symbol":"⨵≀≌$3014$∑⇟⊟$1643$","expression":"⨵≀≌∃⊬BC6∑⇟⊟∃⊬66B","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":3014,"base":16},"right_expr":{"type":"numeric_atoms","value":1643,"base":16}}},"used_operators":["srAu1WTS94","U7g4x0WXJJ"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3014","layer":2},{"info":"number node, value=1643","layer":2},{"info":"compute binary expreesion, left_input=3014, right_input=1643, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨵≀≌∃⊬BC6∑⇟⊟∃⊬66B=NaN","reverse_text":"NaN=⨵≀≌∃⊬BC6∑⇟⊟∃⊬66B","cot":[{"info":"∃⊬BC6∑⇟⊟∃⊬66B=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
+{"id":545,"expression_no_base_symbol":"⇁⨣⪵(⨰⫟⨤$3342$)","expression":"⇁⨣⪵(⨰⫟⨤∃⊬D0E)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12529,"operation_count":2,"complexity_ratio":6264.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3342,"base":16}}},"used_operators":["inkyxCbjAn","Tw270M8GLb"],"dependent_operators":["B5M0gjZbta","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3342","layer":2},{"info":"compute unary expreesion, input=3342, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵(⨰⫟⨤∃⊬D0E)=NaN","reverse_text":"NaN=⇁⨣⪵(⨰⫟⨤∃⊬D0E)","cot":[{"info":"⨰⫟⨤∃⊬D0E=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
+{"id":546,"expression_no_base_symbol":"(⪲⇎$2179$)⪐","expression":"(⪲⇎∃⊬883)⪐","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":2179,"base":16}}},"used_operators":["eH2TOUuTDT","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬220C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2179","layer":2},{"info":"compute unary expreesion, input=2179, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4358","layer":1},{"info":"compute unary expreesion, input=4358, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8716","layer":0}],"base":16,"result_base":16,"text":"(⪲⇎∃⊬883)⪐=∃⊬220C","reverse_text":"∃⊬220C=(⪲⇎∃⊬883)⪐","cot":[{"info":"⪲⇎∃⊬883=∃⊬1106","layer":1},{"info":"∃⊬1106⪐=∃⊬220C","layer":0}]}
+{"id":547,"expression_no_base_symbol":"(⊥$4290$)⊦⊿","expression":"(⊥∃⊬10C2)⊦⊿","highest_n_order":4,"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":4290,"base":16}}},"used_operators":["14qkJME0vr","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4290","layer":2},{"info":"compute unary expreesion, input=4290, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊥∃⊬10C2)⊦⊿=NaN","reverse_text":"NaN=(⊥∃⊬10C2)⊦⊿","cot":[{"info":"⊥∃⊬10C2=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
+{"id":548,"expression_no_base_symbol":"($1048$⋥≓≎$7000$)≧⫂∧($1755$↛⩡⫤)","expression":"(∃⊬418⋥≓≎∃⊬1B58)≧⫂∧(∃⊬6DB↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5405,"operation_count":3,"complexity_ratio":1801.6666666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1048,"base":16},"right_expr":{"type":"numeric_atoms","value":7000,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1755,"base":16}}},"used_operators":["Ph9nP6C5qx","Qy55tPpLXF","FU0Cs4j7VP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"∃⊬42E9F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1048","layer":2},{"info":"number node, value=7000","layer":2},{"info":"compute binary expreesion, left_input=1048, right_input=7000, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12985","layer":1},{"info":"number node, value=1755","layer":2},{"info":"compute unary expreesion, input=1755, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-261094","layer":1},{"info":"compute binary expreesion, left_input=12985, right_input=-261094, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=274079","layer":0}],"base":16,"result_base":16,"text":"(∃⊬418⋥≓≎∃⊬1B58)≧⫂∧(∃⊬6DB↛⩡⫤)=∃⊬42E9F","reverse_text":"∃⊬42E9F=(∃⊬418⋥≓≎∃⊬1B58)≧⫂∧(∃⊬6DB↛⩡⫤)","cot":[{"info":"∃⊬418⋥≓≎∃⊬1B58=∃⊬32B9","layer":1},{"info":"∃⊬6DB↛⩡⫤=∃⊬-3FBE6","layer":1},{"info":"∃⊬32B9≧⫂∧∃⊬-3FBE6=∃⊬42E9F","layer":0}]}
+{"id":549,"expression_no_base_symbol":"(∂$7073$)⊴($1248$⊘)","expression":"(∂∃⊬1BA1)⊴(∃⊬4E0⊘)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7073,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1248,"base":16}}},"used_operators":["Nsiff2A1zJ","Uaa54Peajs","gu96TGCTMs"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"∃⊬-4F","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7073","layer":2},{"info":"compute unary expreesion, input=7073, 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=1248","layer":2},{"info":"compute unary expreesion, input=1248, 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=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":16,"result_base":16,"text":"(∂∃⊬1BA1)⊴(∃⊬4E0⊘)=∃⊬-4F","reverse_text":"∃⊬-4F=(∂∃⊬1BA1)⊴(∃⊬4E0⊘)","cot":[{"info":"∂∃⊬1BA1=NaN","layer":1},{"info":"∃⊬4E0⊘=∃⊬0","layer":1},{"info":"NaN⊴∃⊬0=∃⊬-4F","layer":0}]}
+{"id":550,"expression_no_base_symbol":"⊥($1129$⪨≂$4134$)","expression":"⊥(∃⊬469⪨≂∃⊬1026)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1129,"base":16},"right_expr":{"type":"numeric_atoms","value":4134,"base":16}}},"used_operators":["Q3PJZHRvZv","sdazOOVcIp"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":2},{"info":"number node, value=4134","layer":2},{"info":"compute binary expreesion, left_input=1129, right_input=4134, 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=-5908","layer":1},{"info":"compute unary expreesion, input=-5908, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬469⪨≂∃⊬1026)=NaN","reverse_text":"NaN=⊥(∃⊬469⪨≂∃⊬1026)","cot":[{"info":"∃⊬469⪨≂∃⊬1026=∃⊬-1714","layer":1},{"info":"⊥∃⊬-1714=NaN","layer":0}]}
+{"id":551,"expression_no_base_symbol":"(⋗⩬⋾$3062$)⊴($2612$⩠)","expression":"(⋗⩬⋾∃⊬BF6)⊴(∃⊬A34⩠)","highest_n_order":3,"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":3062,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2612,"base":16}}},"used_operators":["Nsiff2A1zJ","DpFCA1CohY","sJAwomhLZr"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"∃⊬-4F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3062","layer":2},{"info":"compute unary expreesion, input=3062, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9186","layer":1},{"info":"number node, value=2612","layer":2},{"info":"compute unary expreesion, input=2612, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-9186, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":16,"result_base":16,"text":"(⋗⩬⋾∃⊬BF6)⊴(∃⊬A34⩠)=∃⊬-4F","reverse_text":"∃⊬-4F=(⋗⩬⋾∃⊬BF6)⊴(∃⊬A34⩠)","cot":[{"info":"⋗⩬⋾∃⊬BF6=∃⊬-23E2","layer":1},{"info":"∃⊬A34⩠=∃⊬0","layer":1},{"info":"∃⊬-23E2⊴∃⊬0=∃⊬-4F","layer":0}]}
+{"id":552,"expression_no_base_symbol":"⨈⫕($2749$∲⫓$1102$)","expression":"⨈⫕(∃⊬ABD∲⫓∃⊬44E)","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":2749,"base":16},"right_expr":{"type":"numeric_atoms","value":1102,"base":16}}},"used_operators":["megm06wKyl","i8ToyICDmI"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2749","layer":2},{"info":"number node, value=1102","layer":2},{"info":"compute binary expreesion, left_input=2749, right_input=1102, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"⨈⫕(∃⊬ABD∲⫓∃⊬44E)=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕(∃⊬ABD∲⫓∃⊬44E)","cot":[{"info":"∃⊬ABD∲⫓∃⊬44E=∃⊬0","layer":1},{"info":"⨈⫕∃⊬0=∃⊬-15","layer":0}]}
+{"id":553,"expression_no_base_symbol":"⫓⪴($4928$⨽$6371$)","expression":"⫓⪴(∃⊬1340⨽∃⊬18E3)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":72878288,"operation_count":2,"complexity_ratio":36439144.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4928,"base":16},"right_expr":{"type":"numeric_atoms","value":6371,"base":16}}},"used_operators":["eLxqMNBOBk","8HhzD0ZcuI"],"dependent_operators":["9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4928","layer":2},{"info":"number node, value=6371","layer":2},{"info":"compute binary expreesion, left_input=4928, right_input=6371, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-72873351","layer":1},{"info":"compute unary expreesion, input=-72873351, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":0}],"base":16,"result_base":16,"text":"⫓⪴(∃⊬1340⨽∃⊬18E3)=Inf","reverse_text":"Inf=⫓⪴(∃⊬1340⨽∃⊬18E3)","cot":[{"info":"∃⊬1340⨽∃⊬18E3=∃⊬-457F587","layer":1},{"info":"⫓⪴∃⊬-457F587=Inf","layer":0}]}
+{"id":554,"expression_no_base_symbol":"↔($2468$∀⇚≩$2896$)","expression":"↔(∃⊬9A4∀⇚≩∃⊬B50)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17298,"operation_count":2,"complexity_ratio":8649.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2468,"base":16},"right_expr":{"type":"numeric_atoms","value":2896,"base":16}}},"used_operators":["ruOEQAzv1W","LRNGc0VcxI"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","X99M06cbEe"],"result":"∃⊬-86","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2468","layer":2},{"info":"number node, value=2896","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=2896, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":16,"result_base":16,"text":"↔(∃⊬9A4∀⇚≩∃⊬B50)=∃⊬-86","reverse_text":"∃⊬-86=↔(∃⊬9A4∀⇚≩∃⊬B50)","cot":[{"info":"∃⊬9A4∀⇚≩∃⊬B50=NaN","layer":1},{"info":"↔NaN=∃⊬-86","layer":0}]}
+{"id":555,"expression_no_base_symbol":"($8451$∲⫓$1530$)⊠≄⫣","expression":"(∃⊬2103∲⫓∃⊬5FA)⊠≄⫣","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":8451,"base":16},"right_expr":{"type":"numeric_atoms","value":1530,"base":16}}},"used_operators":["DIvbN7qnHd","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=8451","layer":2},{"info":"number node, value=1530","layer":2},{"info":"compute binary expreesion, left_input=8451, right_input=1530, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬2103∲⫓∃⊬5FA)⊠≄⫣=∃⊬0","reverse_text":"∃⊬0=(∃⊬2103∲⫓∃⊬5FA)⊠≄⫣","cot":[{"info":"∃⊬2103∲⫓∃⊬5FA=∃⊬0","layer":1},{"info":"∃⊬0⊠≄⫣=∃⊬0","layer":0}]}
+{"id":556,"expression_no_base_symbol":"⩦⩻⨪($4192$⩨$1886$)","expression":"⩦⩻⨪(∃⊬1060⩨∃⊬75E)","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":4192,"base":16},"right_expr":{"type":"numeric_atoms","value":1886,"base":16}}},"used_operators":["2td37pGCOC","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4192","layer":2},{"info":"number node, value=1886","layer":2},{"info":"compute binary expreesion, left_input=4192, right_input=1886, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪(∃⊬1060⩨∃⊬75E)=∃⊬0","reverse_text":"∃⊬0=⩦⩻⨪(∃⊬1060⩨∃⊬75E)","cot":[{"info":"∃⊬1060⩨∃⊬75E=∃⊬0","layer":1},{"info":"⩦⩻⨪∃⊬0=∃⊬0","layer":0}]}
+{"id":557,"expression_no_base_symbol":"$4899$∲⫓$4344$/$4407$⨎$2257$","expression":"∃⊬1323∲⫓∃⊬10F8/∃⊬1137⨎∃⊬8D1","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":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4899,"base":16},"right_expr":{"type":"numeric_atoms","value":4344,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4407,"base":16},"right_expr":{"type":"numeric_atoms","value":2257,"base":16}}},"used_operators":["XhwjNDsVaA","i8ToyICDmI","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4899","layer":2},{"info":"number node, value=4344","layer":2},{"info":"compute binary expreesion, left_input=4899, right_input=4344, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=4407","layer":2},{"info":"number node, value=2257","layer":2},{"info":"compute binary expreesion, left_input=4407, right_input=2257, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2257","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2257, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬1323∲⫓∃⊬10F8/∃⊬1137⨎∃⊬8D1=∃⊬0","reverse_text":"∃⊬0=∃⊬1323∲⫓∃⊬10F8/∃⊬1137⨎∃⊬8D1","cot":[{"info":"∃⊬1323∲⫓∃⊬10F8=∃⊬0","layer":1},{"info":"∃⊬1137⨎∃⊬8D1=∃⊬8D1","layer":1},{"info":"∃⊬0/∃⊬8D1=∃⊬0","layer":0}]}
+{"id":558,"expression_no_base_symbol":"⊥($6952$⫥∨⫟$8334$)","expression":"⊥(∃⊬1B28⫥∨⫟∃⊬208E)","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":6952,"base":16},"right_expr":{"type":"numeric_atoms","value":8334,"base":16}}},"used_operators":["Q3PJZHRvZv","KYD54nUTWz"],"dependent_operators":["fu6greOZ01","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6952","layer":2},{"info":"number node, value=8334","layer":2},{"info":"compute binary expreesion, left_input=6952, right_input=8334, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬1B28⫥∨⫟∃⊬208E)=NaN","reverse_text":"NaN=⊥(∃⊬1B28⫥∨⫟∃⊬208E)","cot":[{"info":"∃⊬1B28⫥∨⫟∃⊬208E=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
+{"id":559,"expression_no_base_symbol":"($1082$⋥≓≎$1489$)⪛$4226$⪢$3657$","expression":"(∃⊬43A⋥≓≎∃⊬5D1)⪛∃⊬1082⪢∃⊬E49","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6848,"operation_count":3,"complexity_ratio":2282.6666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1082,"base":16},"right_expr":{"type":"numeric_atoms","value":1489,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4226,"base":16},"right_expr":{"type":"numeric_atoms","value":3657,"base":16}}},"used_operators":["uFcxV4UQCh","Qy55tPpLXF","dWAJyo7jo9"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1082","layer":2},{"info":"number node, value=1489","layer":2},{"info":"compute binary expreesion, left_input=1082, right_input=1489, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1929","layer":1},{"info":"number node, value=4226","layer":2},{"info":"number node, value=3657","layer":2},{"info":"compute binary expreesion, left_input=4226, right_input=3657, 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=1929, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬43A⋥≓≎∃⊬5D1)⪛∃⊬1082⪢∃⊬E49=NaN","reverse_text":"NaN=(∃⊬43A⋥≓≎∃⊬5D1)⪛∃⊬1082⪢∃⊬E49","cot":[{"info":"∃⊬43A⋥≓≎∃⊬5D1=∃⊬789","layer":1},{"info":"∃⊬1082⪢∃⊬E49=NaN","layer":1},{"info":"∃⊬789⪛NaN=NaN","layer":0}]}
+{"id":560,"expression_no_base_symbol":"(⩦⩻⨪$8634$)⩚⊴⇥($3456$↪⪝)","expression":"(⩦⩻⨪∃⊬21BA)⩚⊴⇥(∃⊬D80↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":706,"operation_count":3,"complexity_ratio":235.33333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":8634,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3456,"base":16}}},"used_operators":["NTOWxs364D","2td37pGCOC","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"∃⊬-C9A8733","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8634","layer":2},{"info":"compute unary expreesion, input=8634, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8634","layer":1},{"info":"number node, value=3456","layer":2},{"info":"compute unary expreesion, input=3456, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=211444992","layer":1},{"info":"compute binary expreesion, left_input=8634, right_input=211444992, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-211453747","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪∃⊬21BA)⩚⊴⇥(∃⊬D80↪⪝)=∃⊬-C9A8733","reverse_text":"∃⊬-C9A8733=(⩦⩻⨪∃⊬21BA)⩚⊴⇥(∃⊬D80↪⪝)","cot":[{"info":"⩦⩻⨪∃⊬21BA=∃⊬21BA","layer":1},{"info":"∃⊬D80↪⪝=∃⊬C9A6500","layer":1},{"info":"∃⊬21BA⩚⊴⇥∃⊬C9A6500=∃⊬-C9A8733","layer":0}]}
+{"id":561,"expression_no_base_symbol":"$1838$⪮%⊝$2903$⫸⊐($2152$⊭↱$2883$)","expression":"∃⊬72E⪮%⊝∃⊬B57⫸⊐(∃⊬868⊭↱∃⊬B43)","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":1838,"base":16},"right_expr":{"type":"numeric_atoms","value":2903,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2152,"base":16},"right_expr":{"type":"numeric_atoms","value":2883,"base":16}}},"used_operators":["mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬166F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1838","layer":2},{"info":"number node, value=2903","layer":2},{"info":"compute binary expreesion, left_input=1838, right_input=2903, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3992","layer":1},{"info":"number node, value=2152","layer":2},{"info":"number node, value=2883","layer":2},{"info":"compute binary expreesion, left_input=2152, right_input=2883, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1467","layer":1},{"info":"compute binary expreesion, left_input=3992, right_input=1467, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5743","layer":0}],"base":16,"result_base":16,"text":"∃⊬72E⪮%⊝∃⊬B57⫸⊐(∃⊬868⊭↱∃⊬B43)=∃⊬166F","reverse_text":"∃⊬166F=∃⊬72E⪮%⊝∃⊬B57⫸⊐(∃⊬868⊭↱∃⊬B43)","cot":[{"info":"∃⊬72E⪮%⊝∃⊬B57=∃⊬F98","layer":1},{"info":"∃⊬868⊭↱∃⊬B43=∃⊬5BB","layer":1},{"info":"∃⊬F98⫸⊐∃⊬5BB=∃⊬166F","layer":0}]}
+{"id":562,"expression_no_base_symbol":"$3982$∲⫓$1644$/$3132$⨐⩸⫘$7387$","expression":"∃⊬F8E∲⫓∃⊬66C/∃⊬C3C⨐⩸⫘∃⊬1CDB","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":3982,"base":16},"right_expr":{"type":"numeric_atoms","value":1644,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3132,"base":16},"right_expr":{"type":"numeric_atoms","value":7387,"base":16}}},"used_operators":["XhwjNDsVaA","i8ToyICDmI","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3982","layer":2},{"info":"number node, value=1644","layer":2},{"info":"compute binary expreesion, left_input=3982, right_input=1644, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3132","layer":2},{"info":"number node, value=7387","layer":2},{"info":"compute binary expreesion, left_input=3132, right_input=7387, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a��⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬F8E∲⫓∃⊬66C/∃⊬C3C⨐⩸⫘∃⊬1CDB=NaN","reverse_text":"NaN=∃⊬F8E∲⫓∃⊬66C/∃⊬C3C⨐⩸⫘∃⊬1CDB","cot":[{"info":"∃⊬F8E∲⫓∃⊬66C=∃⊬0","layer":1},{"info":"∃⊬C3C⨐⩸⫘∃⊬1CDB=NaN","layer":1},{"info":"∃⊬0/NaN=NaN","layer":0}]}
+{"id":563,"expression_no_base_symbol":"($5861$⋳⪒$2214$)⨰(+⊝⨔$4998$)","expression":"(∃⊬16E5⋳⪒∃⊬8A6)⨰(+⊝⨔∃⊬1386)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":53,"operation_count":3,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5861,"base":16},"right_expr":{"type":"numeric_atoms","value":2214,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4998,"base":16}}},"used_operators":["eewbuw0ToL","12rbrZMWeM","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬1E1D","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5861","layer":2},{"info":"number node, value=2214","layer":2},{"info":"compute binary expreesion, left_input=5861, right_input=2214, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9221","layer":1},{"info":"number node, value=4998","layer":2},{"info":"compute unary expreesion, input=4998, 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=9221, right_input=1522, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7709","layer":0}],"base":16,"result_base":16,"text":"(∃⊬16E5⋳⪒∃⊬8A6)⨰(+⊝⨔∃⊬1386)=∃⊬1E1D","reverse_text":"∃⊬1E1D=(∃⊬16E5⋳⪒∃⊬8A6)⨰(+⊝⨔∃⊬1386)","cot":[{"info":"∃⊬16E5⋳⪒∃⊬8A6=∃⊬2405","layer":1},{"info":"+⊝⨔∃⊬1386=∃⊬5F2","layer":1},{"info":"∃⊬2405⨰∃⊬5F2=∃⊬1E1D","layer":0}]}
+{"id":564,"expression_no_base_symbol":"$2241$⪮%⊝$3029$∲⫓$3449$⪘⫢$4144$","expression":"∃⊬8C1⪮%⊝∃⊬BD5∲⫓∃⊬D79⪘⫢∃⊬1030","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2241,"base":16},"right_expr":{"type":"numeric_atoms","value":3029,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3449,"base":16},"right_expr":{"type":"numeric_atoms","value":4144,"base":16}}},"used_operators":["i8ToyICDmI","IWmyXbctLI","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2241","layer":2},{"info":"number node, value=3029","layer":2},{"info":"compute binary expreesion, left_input=2241, right_input=3029, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4798","layer":1},{"info":"number node, value=3449","layer":2},{"info":"number node, value=4144","layer":2},{"info":"compute binary expreesion, left_input=3449, right_input=4144, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6774","layer":1},{"info":"compute binary expreesion, left_input=4798, right_input=6774, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬8C1⪮%⊝∃⊬BD5∲⫓∃⊬D79⪘⫢∃⊬1030=∃⊬0","reverse_text":"∃⊬0=∃⊬8C1⪮%⊝∃⊬BD5∲⫓∃⊬D79⪘⫢∃⊬1030","cot":[{"info":"∃⊬8C1⪮%⊝∃⊬BD5=∃⊬12BE","layer":1},{"info":"∃⊬D79⪘⫢∃⊬1030=∃⊬1A76","layer":1},{"info":"∃⊬12BE∲⫓∃⊬1A76=∃⊬0","layer":0}]}
+{"id":565,"expression_no_base_symbol":"$2485$∀⇚≩$1333$-$1867$∑⇟⊟$5975$","expression":"∃⊬9B5∀⇚≩∃⊬535-∃⊬74B∑⇟⊟∃⊬1757","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17397,"operation_count":3,"complexity_ratio":5799.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2485,"base":16},"right_expr":{"type":"numeric_atoms","value":1333,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1867,"base":16},"right_expr":{"type":"numeric_atoms","value":5975,"base":16}}},"used_operators":["rysDP5nf3Z","LRNGc0VcxI","U7g4x0WXJJ"],"dependent_operators":["X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2485","layer":2},{"info":"number node, value=1333","layer":2},{"info":"compute binary expreesion, left_input=2485, right_input=1333, 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=1867","layer":2},{"info":"number node, value=5975","layer":2},{"info":"compute binary expreesion, left_input=1867, right_input=5975, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬9B5∀⇚≩∃⊬535-∃⊬74B∑⇟⊟∃⊬1757=NaN","reverse_text":"NaN=∃⊬9B5∀⇚≩∃⊬535-∃⊬74B∑⇟⊟∃⊬1757","cot":[{"info":"∃⊬9B5∀⇚≩∃⊬535=NaN","layer":1},{"info":"∃⊬74B∑⇟⊟∃⊬1757=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
+{"id":566,"expression_no_base_symbol":"$1876$⋓$4947$↺(↯⪼$2142$)","expression":"∃⊬754⋓∃⊬1353↺(↯⪼∃⊬85E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1876,"base":16},"right_expr":{"type":"numeric_atoms","value":4947,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2142,"base":16}}},"used_operators":["7j4O788W3g","T2fj7uvVaJ","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1876","layer":2},{"info":"number node, value=4947","layer":2},{"info":"compute binary expreesion, left_input=1876, right_input=4947, 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=2142","layer":2},{"info":"compute unary expreesion, input=2142, 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=0, right_input=-21, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"∃⊬754⋓∃⊬1353↺(↯⪼∃⊬85E)=∃⊬-15","reverse_text":"∃⊬-15=∃⊬754⋓∃⊬1353↺(↯⪼∃⊬85E)","cot":[{"info":"∃⊬754⋓∃⊬1353=∃⊬0","layer":1},{"info":"↯⪼∃⊬85E=∃⊬-15","layer":1},{"info":"∃⊬0↺∃⊬-15=∃⊬-15","layer":0}]}
+{"id":567,"expression_no_base_symbol":"($2501$≦≮≮)⪐","expression":"(∃⊬9C5≦≮≮)⪐","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":2501,"base":16}}},"used_operators":["eH2TOUuTDT","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-3A9E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2501","layer":2},{"info":"compute unary expreesion, input=2501, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7503","layer":1},{"info":"compute unary expreesion, input=-7503, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-15006","layer":0}],"base":16,"result_base":16,"text":"(∃⊬9C5≦≮≮)⪐=∃⊬-3A9E","reverse_text":"∃⊬-3A9E=(∃⊬9C5≦≮≮)⪐","cot":[{"info":"∃⊬9C5≦≮≮=∃⊬-1D4F","layer":1},{"info":"∃⊬-1D4F⪐=∃⊬-3A9E","layer":0}]}
+{"id":568,"expression_no_base_symbol":"($1442$⨁⊸⫻)⋥≓≎$2301$⋓$2278$","expression":"(∃⊬5A2⨁⊸⫻)⋥≓≎∃⊬8FD⋓∃⊬8E6","highest_n_order":3,"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":1442,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2301,"base":16},"right_expr":{"type":"numeric_atoms","value":2278,"base":16}}},"used_operators":["Qy55tPpLXF","glklzrTFfD","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬-581","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1442","layer":2},{"info":"compute unary expreesion, input=1442, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1442","layer":1},{"info":"number node, value=2301","layer":2},{"info":"number node, value=2278","layer":2},{"info":"compute binary expreesion, left_input=2301, right_input=2278, 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=1442, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1409","layer":0}],"base":16,"result_base":16,"text":"(∃⊬5A2⨁⊸⫻)⋥≓≎∃⊬8FD⋓∃⊬8E6=∃⊬-581","reverse_text":"∃⊬-581=(∃⊬5A2⨁⊸⫻)⋥≓≎∃⊬8FD⋓∃⊬8E6","cot":[{"info":"∃⊬5A2⨁⊸⫻=∃⊬5A2","layer":1},{"info":"∃⊬8FD⋓∃⊬8E6=∃⊬0","layer":1},{"info":"∃⊬5A2⋥≓≎∃⊬0=∃⊬-581","layer":0}]}
+{"id":569,"expression_no_base_symbol":"($1445$⨳⩥⨓$6479$)⋝⋈⪟($3277$+$2134$)","expression":"(∃⊬5A5⨳⩥⨓∃⊬194F)⋝⋈⪟(∃⊬CCD+∃⊬856)","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":1445,"base":16},"right_expr":{"type":"numeric_atoms","value":6479,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3277,"base":16},"right_expr":{"type":"numeric_atoms","value":2134,"base":16}}},"used_operators":["2DDjHMKMc0","nCS4ZIUYfx","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬13AA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":2},{"info":"number node, value=6479","layer":2},{"info":"compute binary expreesion, left_input=1445, right_input=6479, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5034","layer":1},{"info":"number node, value=3277","layer":2},{"info":"number node, value=2134","layer":2},{"info":"compute binary expreesion, left_input=3277, right_input=2134, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5411","layer":1},{"info":"compute binary expreesion, left_input=5034, right_input=5411, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5034","layer":0}],"base":16,"result_base":16,"text":"(∃⊬5A5⨳⩥⨓∃⊬194F)⋝⋈⪟(∃⊬CCD+∃⊬856)=∃⊬13AA","reverse_text":"∃⊬13AA=(∃⊬5A5⨳⩥⨓∃⊬194F)⋝⋈⪟(∃⊬CCD+∃⊬856)","cot":[{"info":"∃⊬5A5⨳⩥⨓∃⊬194F=∃⊬13AA","layer":1},{"info":"∃⊬CCD+∃⊬856=∃⊬1523","layer":1},{"info":"∃⊬13AA⋝⋈⪟∃⊬1523=∃⊬13AA","layer":0}]}
+{"id":570,"expression_no_base_symbol":"($2721$⫥∨⫟$4016$)≹⇙⪍($1089$∀⇚≩$1810$)","expression":"(∃⊬AA1⫥∨⫟∃⊬FB0)≹⇙⪍(∃⊬441∀⇚≩∃⊬712)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7778,"operation_count":3,"complexity_ratio":2592.6666666666665,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2721,"base":16},"right_expr":{"type":"numeric_atoms","value":4016,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1089,"base":16},"right_expr":{"type":"numeric_atoms","value":1810,"base":16}}},"used_operators":["AHs5Up7iyr","KYD54nUTWz","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2721","layer":2},{"info":"number node, value=4016","layer":2},{"info":"compute binary expreesion, left_input=2721, right_input=4016, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1089","layer":2},{"info":"number node, value=1810","layer":2},{"info":"compute binary expreesion, left_input=1089, right_input=1810, 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 = 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":16,"result_base":16,"text":"(∃⊬AA1⫥∨⫟∃⊬FB0)≹⇙⪍(∃⊬441∀⇚≩∃⊬712)=NaN","reverse_text":"NaN=(∃⊬AA1⫥∨⫟∃⊬FB0)≹⇙⪍(∃⊬441∀⇚≩∃⊬712)","cot":[{"info":"∃⊬AA1⫥∨⫟∃⊬FB0=NaN","layer":1},{"info":"∃⊬441∀⇚≩∃⊬712=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
+{"id":571,"expression_no_base_symbol":"($2113$⩨$8270$)⨁⊸⫻","expression":"(∃⊬841⩨∃⊬204E)⨁⊸⫻","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":2113,"base":16},"right_expr":{"type":"numeric_atoms","value":8270,"base":16}}},"used_operators":["glklzrTFfD","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬-12","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2113","layer":2},{"info":"number node, value=8270","layer":2},{"info":"compute binary expreesion, left_input=2113, right_input=8270, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-18","layer":0}],"base":16,"result_base":16,"text":"(∃⊬841⩨∃⊬204E)⨁⊸⫻=∃⊬-12","reverse_text":"∃⊬-12=(∃⊬841⩨∃⊬204E)⨁⊸⫻","cot":[{"info":"∃⊬841⩨∃⊬204E=∃⊬-9","layer":1},{"info":"∃⊬-9⨁⊸⫻=∃⊬-12","layer":0}]}
+{"id":572,"expression_no_base_symbol":"($5415$⩷∴$2973$)∼($1860$⫸⊐$5260$)","expression":"(∃⊬1527⩷∴∃⊬B9D)∼(∃⊬744⫸⊐∃⊬148C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":127,"operation_count":3,"complexity_ratio":42.333333333333336,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5415,"base":16},"right_expr":{"type":"numeric_atoms","value":2973,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1860,"base":16},"right_expr":{"type":"numeric_atoms","value":5260,"base":16}}},"used_operators":["DyGG3AbaNP","9FxExcQeMw","mqXw5SEYmG"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5415","layer":2},{"info":"number node, value=2973","layer":2},{"info":"compute binary expreesion, left_input=5415, right_input=2973, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4852","layer":1},{"info":"number node, value=1860","layer":2},{"info":"number node, value=5260","layer":2},{"info":"compute binary expreesion, left_input=1860, right_input=5260, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20915","layer":1},{"info":"compute binary expreesion, left_input=4852, right_input=20915, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1527⩷∴∃⊬B9D)∼(∃⊬744⫸⊐∃⊬148C)=NaN","reverse_text":"NaN=(∃⊬1527⩷∴∃⊬B9D)∼(∃⊬744⫸⊐∃⊬148C)","cot":[{"info":"∃⊬1527⩷∴∃⊬B9D=∃⊬12F4","layer":1},{"info":"∃⊬744⫸⊐∃⊬148C=∃⊬51B3","layer":1},{"info":"∃⊬12F4∼∃⊬51B3=NaN","layer":0}]}
+{"id":573,"expression_no_base_symbol":"($3035$⊭∹↮)⨟⋌⩍($4706$⪒$4206$)","expression":"(∃⊬BDB⊭∹↮)⨟⋌⩍(∃⊬1262⪒∃⊬106E)","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":3035,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4706,"base":16},"right_expr":{"type":"numeric_atoms","value":4206,"base":16}}},"used_operators":["rGHVDoGpnC","xNBdhnnwKq","f6k1SAg4EE"],"dependent_operators":["Tcnh7f0tEr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3035","layer":2},{"info":"compute unary expreesion, input=3035, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6070","layer":1},{"info":"number node, value=4706","layer":2},{"info":"number node, value=4206","layer":2},{"info":"compute binary expreesion, left_input=4706, right_input=4206, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8912","layer":1},{"info":"compute binary expreesion, left_input=6070, right_input=-8912, 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":16,"result_base":16,"text":"(∃⊬BDB⊭∹↮)⨟⋌⩍(∃⊬1262⪒∃⊬106E)=NaN","reverse_text":"NaN=(∃⊬BDB⊭∹↮)⨟⋌⩍(∃⊬1262⪒∃⊬106E)","cot":[{"info":"∃⊬BDB⊭∹↮=∃⊬17B6","layer":1},{"info":"∃⊬1262⪒∃⊬106E=∃⊬-22D0","layer":1},{"info":"∃⊬17B6⨟⋌⩍∃⊬-22D0=NaN","layer":0}]}
+{"id":574,"expression_no_base_symbol":"⨈⫕(⨵≀≌$4791$)","expression":"⨈⫕(⨵≀≌∃⊬12B7)","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4791,"base":16}}},"used_operators":["megm06wKyl","srAu1WTS94"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4791","layer":2},{"info":"compute unary expreesion, input=4791, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14373","layer":1},{"info":"compute unary expreesion, input=-14373, 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":16,"result_base":16,"text":"⨈⫕(⨵≀≌∃⊬12B7)=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕(⨵≀≌∃⊬12B7)","cot":[{"info":"⨵≀≌∃⊬12B7=∃⊬-3825","layer":1},{"info":"⨈⫕∃⊬-3825=∃⊬-15","layer":0}]}
+{"id":575,"expression_no_base_symbol":"⊄⩳↩($4353$⨎$4486$)","expression":"⊄⩳↩(∃⊬1101⨎∃⊬1186)","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":4353,"base":16},"right_expr":{"type":"numeric_atoms","value":4486,"base":16}}},"used_operators":["8w2t5hMYqp","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬-3492","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4353","layer":2},{"info":"number node, value=4486","layer":2},{"info":"compute binary expreesion, left_input=4353, right_input=4486, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4486","layer":1},{"info":"compute unary expreesion, input=4486, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13458","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(∃⊬1101⨎∃⊬1186)=∃⊬-3492","reverse_text":"∃⊬-3492=⊄⩳↩(∃⊬1101⨎∃⊬1186)","cot":[{"info":"∃⊬1101⨎∃⊬1186=∃⊬1186","layer":1},{"info":"⊄⩳↩∃⊬1186=∃⊬-3492","layer":0}]}
+{"id":576,"expression_no_base_symbol":"⪝⪂⫅(≤/$1663$)","expression":"⪝⪂⫅(≤/∃⊬67F)","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":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1663,"base":16}}},"used_operators":["XTarYq4gQB","eLAdDNolq6"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z"],"result":"∃⊬2A501","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1663","layer":2},{"info":"compute unary expreesion, input=1663, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1179","layer":1},{"info":"compute unary expreesion, input=-1179, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=173313","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅(≤/∃⊬67F)=∃⊬2A501","reverse_text":"∃⊬2A501=⪝⪂⫅(≤/∃⊬67F)","cot":[{"info":"≤/∃⊬67F=∃⊬-49B","layer":1},{"info":"⪝⪂⫅∃⊬-49B=∃⊬2A501","layer":0}]}
+{"id":577,"expression_no_base_symbol":"($1035$⨸⪁$3950$)⪛$1460$⪮%⊝$5732$","expression":"(∃⊬40B⨸⪁∃⊬F6E)⪛∃⊬5B4⪮%⊝∃⊬1664","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":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1035,"base":16},"right_expr":{"type":"numeric_atoms","value":3950,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1460,"base":16},"right_expr":{"type":"numeric_atoms","value":5732,"base":16}}},"used_operators":["uFcxV4UQCh","g55IO6H4Gj","IWmyXbctLI"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬106","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":2},{"info":"number node, value=3950","layer":2},{"info":"compute binary expreesion, left_input=1035, right_input=3950, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9970","layer":1},{"info":"number node, value=1460","layer":2},{"info":"number node, value=5732","layer":2},{"info":"compute binary expreesion, left_input=1460, right_input=5732, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3236","layer":1},{"info":"compute binary expreesion, left_input=9970, right_input=3236, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=262","layer":0}],"base":16,"result_base":16,"text":"(∃⊬40B⨸⪁∃⊬F6E)⪛∃⊬5B4⪮%⊝∃⊬1664=∃⊬106","reverse_text":"∃⊬106=(∃⊬40B⨸⪁∃⊬F6E)⪛∃⊬5B4⪮%⊝∃⊬1664","cot":[{"info":"∃⊬40B⨸⪁∃⊬F6E=∃⊬26F2","layer":1},{"info":"∃⊬5B4⪮%⊝∃⊬1664=∃⊬CA4","layer":1},{"info":"∃⊬26F2⪛∃⊬CA4=∃⊬106","layer":0}]}
+{"id":578,"expression_no_base_symbol":"$1081$⪛$5417$⩚⊴⇥(↽≂$2384$)","expression":"∃⊬439⪛∃⊬1529⩚⊴⇥(↽≂∃⊬950)","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":1081,"base":16},"right_expr":{"type":"numeric_atoms","value":5417,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2384,"base":16}}},"used_operators":["NTOWxs364D","uFcxV4UQCh","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬DEE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1081","layer":2},{"info":"number node, value=5417","layer":2},{"info":"compute binary expreesion, left_input=1081, right_input=5417, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1081","layer":1},{"info":"number node, value=2384","layer":2},{"info":"compute unary expreesion, input=2384, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4768","layer":1},{"info":"compute binary expreesion, left_input=1081, right_input=-4768, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3566","layer":0}],"base":16,"result_base":16,"text":"∃⊬439⪛∃⊬1529⩚⊴⇥(↽≂∃⊬950)=∃⊬DEE","reverse_text":"∃⊬DEE=∃⊬439⪛∃⊬1529⩚⊴⇥(↽≂∃⊬950)","cot":[{"info":"∃⊬439⪛∃⊬1529=∃⊬439","layer":1},{"info":"↽≂∃⊬950=∃⊬-12A0","layer":1},{"info":"∃⊬439⩚⊴⇥∃⊬-12A0=∃⊬DEE","layer":0}]}
+{"id":579,"expression_no_base_symbol":"≉$1961$⩷∴$1024$","expression":"≉∃⊬7A9⩷∴∃⊬400","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":1961,"base":16},"right_expr":{"type":"numeric_atoms","value":1024,"base":16}}},"used_operators":["e1ybzncUwg","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬945","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1961","layer":2},{"info":"number node, value=1024","layer":2},{"info":"compute binary expreesion, left_input=1961, right_input=1024, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1842","layer":1},{"info":"compute unary expreesion, input=1842, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2373","layer":0}],"base":16,"result_base":16,"text":"≉∃⊬7A9⩷∴∃⊬400=∃⊬945","reverse_text":"∃⊬945=≉∃⊬7A9⩷∴∃⊬400","cot":[{"info":"∃⊬7A9⩷∴∃⊬400=∃⊬732","layer":1},{"info":"≉∃⊬732=∃⊬945","layer":0}]}
+{"id":580,"expression_no_base_symbol":"(⩦⩻⨪$2295$)⪘⫢($1296$∑⇟⊟$2095$)","expression":"(⩦⩻⨪∃⊬8F7)⪘⫢(∃⊬510∑⇟⊟∃⊬82F)","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":2295,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1296,"base":16},"right_expr":{"type":"numeric_atoms","value":2095,"base":16}}},"used_operators":["oacrs7FA3X","2td37pGCOC","U7g4x0WXJJ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2295","layer":2},{"info":"compute unary expreesion, input=2295, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2295","layer":1},{"info":"number node, value=1296","layer":2},{"info":"number node, value=2095","layer":2},{"info":"compute binary expreesion, left_input=1296, right_input=2095, 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=2295, 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":16,"result_base":16,"text":"(⩦⩻⨪∃⊬8F7)⪘⫢(∃⊬510∑⇟⊟∃⊬82F)=NaN","reverse_text":"NaN=(⩦⩻⨪∃⊬8F7)⪘⫢(∃⊬510∑⇟⊟∃⊬82F)","cot":[{"info":"⩦⩻⨪∃⊬8F7=∃⊬8F7","layer":1},{"info":"∃⊬510∑⇟⊟∃⊬82F=NaN","layer":1},{"info":"∃⊬8F7⪘⫢NaN=NaN","layer":0}]}
+{"id":581,"expression_no_base_symbol":"$6627$⊴$5728$⨓($4068$⋷$3952$)","expression":"∃⊬19E3⊴∃⊬1660⨓(∃⊬FE4⋷∃⊬F70)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12427,"operation_count":3,"complexity_ratio":4142.333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6627,"base":16},"right_expr":{"type":"numeric_atoms","value":5728,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4068,"base":16},"right_expr":{"type":"numeric_atoms","value":3952,"base":16}}},"used_operators":["3ViojmjbAp","Nsiff2A1zJ","23Mk6UjR3U"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-EFF","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6627","layer":2},{"info":"number node, value=5728","layer":2},{"info":"compute binary expreesion, left_input=6627, right_input=5728, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4068","layer":2},{"info":"number node, value=3952","layer":2},{"info":"compute binary expreesion, left_input=4068, right_input=3952, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3836","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3836, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3839","layer":0}],"base":16,"result_base":16,"text":"∃⊬19E3⊴∃⊬1660⨓(∃⊬FE4⋷∃⊬F70)=∃⊬-EFF","reverse_text":"∃⊬-EFF=∃⊬19E3⊴∃⊬1660⨓(∃⊬FE4⋷∃⊬F70)","cot":[{"info":"∃⊬19E3⊴∃⊬1660=NaN","layer":1},{"info":"∃⊬FE4⋷∃⊬F70=∃⊬EFC","layer":1},{"info":"NaN⨓∃⊬EFC=∃⊬-EFF","layer":0}]}
+{"id":582,"expression_no_base_symbol":"(⨈⫕$1108$)⫥∨⫟$6253$↬$7282$","expression":"(⨈⫕∃⊬454)⫥∨⫟∃⊬186D↬∃⊬1C72","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":541,"operation_count":3,"complexity_ratio":180.33333333333334,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1108,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6253,"base":16},"right_expr":{"type":"numeric_atoms","value":7282,"base":16}}},"used_operators":["KYD54nUTWz","megm06wKyl","B5M0gjZbta"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1108","layer":2},{"info":"compute unary expreesion, input=1108, 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=6253","layer":2},{"info":"number node, value=7282","layer":2},{"info":"compute binary expreesion, left_input=6253, right_input=7282, 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=-21, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨈⫕∃⊬454)⫥∨⫟∃⊬186D↬∃⊬1C72=NaN","reverse_text":"NaN=(⨈⫕∃⊬454)⫥∨⫟∃⊬186D↬∃⊬1C72","cot":[{"info":"⨈⫕∃⊬454=∃⊬-15","layer":1},{"info":"∃⊬186D↬∃⊬1C72=NaN","layer":1},{"info":"∃⊬-15⫥∨⫟NaN=NaN","layer":0}]}
+{"id":583,"expression_no_base_symbol":"($2897$∀⇚≩$4816$)∀⇚≩($3732$↪⪝)","expression":"(∃⊬B51∀⇚≩∃⊬12D0)∀⇚≩(∃⊬E94↪⪝)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20980,"operation_count":3,"complexity_ratio":6993.333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2897,"base":16},"right_expr":{"type":"numeric_atoms","value":4816,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3732,"base":16}}},"used_operators":["LRNGc0VcxI","l07mrZUIn9"],"dependent_operators":["X99M06cbEe","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2897","layer":2},{"info":"number node, value=4816","layer":2},{"info":"compute binary expreesion, left_input=2897, right_input=4816, 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=3732","layer":2},{"info":"compute unary expreesion, input=3732, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=228331224","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=228331224, 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":16,"result_base":16,"text":"(∃⊬B51∀⇚≩∃⊬12D0)∀⇚≩(∃⊬E94↪⪝)=NaN","reverse_text":"NaN=(∃⊬B51∀⇚≩∃⊬12D0)∀⇚≩(∃⊬E94↪⪝)","cot":[{"info":"∃⊬B51∀⇚≩∃⊬12D0=NaN","layer":1},{"info":"∃⊬E94↪⪝=∃⊬D9C0ED8","layer":1},{"info":"NaN∀⇚≩∃⊬D9C0ED8=NaN","layer":0}]}
+{"id":584,"expression_no_base_symbol":"$3606$⩷∴$5304$⋓(⨑⩽⪐$2440$)","expression":"∃⊬E16⩷∴∃⊬14B8⋓(⨑⩽⪐∃⊬988)","highest_n_order":3,"priority_hierarchical_complexity":2,"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":3606,"base":16},"right_expr":{"type":"numeric_atoms","value":5304,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2440,"base":16}}},"used_operators":["T2fj7uvVaJ","9FxExcQeMw","AF7qkfDlqP"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3606","layer":2},{"info":"number node, value=5304","layer":2},{"info":"compute binary expreesion, left_input=3606, right_input=5304, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3428","layer":1},{"info":"number node, value=2440","layer":2},{"info":"compute unary expreesion, input=2440, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2167","layer":1},{"info":"compute binary expreesion, left_input=-3428, right_input=-2167, 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":16,"result_base":16,"text":"∃⊬E16⩷∴∃⊬14B8⋓(⨑⩽⪐∃⊬988)=∃⊬0","reverse_text":"∃⊬0=∃⊬E16⩷∴∃⊬14B8⋓(⨑⩽⪐∃⊬988)","cot":[{"info":"∃⊬E16⩷∴∃⊬14B8=∃⊬-D64","layer":1},{"info":"⨑⩽⪐∃⊬988=∃⊬-877","layer":1},{"info":"∃⊬-D64⋓∃⊬-877=∃⊬0","layer":0}]}
+{"id":585,"expression_no_base_symbol":"≦∁($5372$+$1221$)","expression":"≦∁(∃⊬14FC+∃⊬4C5)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5372,"base":16},"right_expr":{"type":"numeric_atoms","value":1221,"base":16}}},"used_operators":["9ICcGScMcE","W4YGzv6Whe"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"∃⊬19C1","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5372","layer":2},{"info":"number node, value=1221","layer":2},{"info":"compute binary expreesion, left_input=5372, right_input=1221, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6593","layer":1},{"info":"compute unary expreesion, input=6593, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6593","layer":0}],"base":16,"result_base":16,"text":"≦∁(∃⊬14FC+∃⊬4C5)=∃⊬19C1","reverse_text":"∃⊬19C1=≦∁(∃⊬14FC+∃⊬4C5)","cot":[{"info":"∃⊬14FC+∃⊬4C5=∃⊬19C1","layer":1},{"info":"≦∁∃⊬19C1=∃⊬19C1","layer":0}]}
+{"id":586,"expression_no_base_symbol":"($1677$∑⇟⊟$1139$)⪘⫢($2026$⫸⊐$4880$)","expression":"(∃⊬68D∑⇟⊟∃⊬473)⪘⫢(∃⊬7EA⫸⊐∃⊬1310)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1677,"base":16},"right_expr":{"type":"numeric_atoms","value":1139,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2026,"base":16},"right_expr":{"type":"numeric_atoms","value":4880,"base":16}}},"used_operators":["oacrs7FA3X","U7g4x0WXJJ","mqXw5SEYmG"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1677","layer":2},{"info":"number node, value=1139","layer":2},{"info":"compute binary expreesion, left_input=1677, right_input=1139, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2026","layer":2},{"info":"number node, value=4880","layer":2},{"info":"compute binary expreesion, left_input=2026, right_input=4880, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19395","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19395, 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":16,"result_base":16,"text":"(∃⊬68D∑⇟⊟∃⊬473)⪘⫢(∃⊬7EA⫸⊐∃⊬1310)=NaN","reverse_text":"NaN=(∃⊬68D∑⇟⊟∃⊬473)⪘⫢(∃⊬7EA⫸⊐∃⊬1310)","cot":[{"info":"∃⊬68D∑⇟⊟∃⊬473=NaN","layer":1},{"info":"∃⊬7EA⫸⊐∃⊬1310=∃⊬4BC3","layer":1},{"info":"NaN⪘⫢∃⊬4BC3=NaN","layer":0}]}
+{"id":587,"expression_no_base_symbol":"(⇁⨣⪵$3426$)⋷(↔$3016$)","expression":"(⇁⨣⪵∃⊬D62)⋷(↔∃⊬BC8)","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":3426,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3016,"base":16}}},"used_operators":["23Mk6UjR3U","inkyxCbjAn","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3426","layer":2},{"info":"compute unary expreesion, input=3426, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3016","layer":2},{"info":"compute unary expreesion, input=3016, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2743","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2743, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⇁⨣⪵∃⊬D62)⋷(↔∃⊬BC8)=NaN","reverse_text":"NaN=(⇁⨣⪵∃⊬D62)⋷(↔∃⊬BC8)","cot":[{"info":"⇁⨣⪵∃⊬D62=NaN","layer":1},{"info":"↔∃⊬BC8=∃⊬-AB7","layer":1},{"info":"NaN⋷∃⊬-AB7=NaN","layer":0}]}
+{"id":588,"expression_no_base_symbol":"⊥($1098$⩤)","expression":"⊥(∃⊬44A⩤)","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":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1098,"base":16}}},"used_operators":["Q3PJZHRvZv","Z2TMIBDE3Q"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":2},{"info":"compute unary expreesion, input=1098, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1098","layer":1},{"info":"compute unary expreesion, input=-1098, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬44A⩤)=NaN","reverse_text":"NaN=⊥(∃⊬44A⩤)","cot":[{"info":"∃⊬44A⩤=∃⊬-44A","layer":1},{"info":"⊥∃⊬-44A=NaN","layer":0}]}
+{"id":589,"expression_no_base_symbol":"⪲⇎($2077$⪨≂$2130$)","expression":"⪲⇎(∃⊬81D⪨≂∃⊬852)","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":2077,"base":16},"right_expr":{"type":"numeric_atoms","value":2130,"base":16}}},"used_operators":["XPYlsWDdGa","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-8","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2077","layer":2},{"info":"number node, value=2130","layer":2},{"info":"compute binary expreesion, left_input=2077, right_input=2130, 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=-4","layer":1},{"info":"compute unary expreesion, input=-4, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-8","layer":0}],"base":16,"result_base":16,"text":"⪲⇎(∃⊬81D⪨≂∃⊬852)=∃⊬-8","reverse_text":"∃⊬-8=⪲⇎(∃⊬81D⪨≂∃⊬852)","cot":[{"info":"∃⊬81D⪨≂∃⊬852=∃⊬-4","layer":1},{"info":"⪲⇎∃⊬-4=∃⊬-8","layer":0}]}
+{"id":590,"expression_no_base_symbol":"$3661$+⇶⊼$1632$≭($1035$⫌⩹⨱)","expression":"∃⊬E4D+⇶⊼∃⊬660≭(∃⊬40B⫌⩹⨱)","highest_n_order":5,"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":3661,"base":16},"right_expr":{"type":"numeric_atoms","value":1632,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1035,"base":16}}},"used_operators":["rxpJgHHUmx","TpPTUOHfaN","EBcxylXtPf"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3661","layer":2},{"info":"number node, value=1632","layer":2},{"info":"compute binary expreesion, left_input=3661, right_input=1632, 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=1035","layer":2},{"info":"compute unary expreesion, input=1035, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3471","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3471, 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":16,"result_base":16,"text":"∃⊬E4D+⇶⊼∃⊬660≭(∃⊬40B⫌⩹⨱)=NaN","reverse_text":"NaN=∃⊬E4D+⇶⊼∃⊬660≭(∃⊬40B⫌⩹⨱)","cot":[{"info":"∃⊬E4D+⇶⊼∃⊬660=NaN","layer":1},{"info":"∃⊬40B⫌⩹⨱=∃⊬D8F","layer":1},{"info":"NaN≭∃⊬D8F=NaN","layer":0}]}
+{"id":591,"expression_no_base_symbol":"⨵≀≌($5249$∲⫓$1895$)","expression":"⨵≀≌(∃⊬1481∲⫓∃⊬767)","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":5249,"base":16},"right_expr":{"type":"numeric_atoms","value":1895,"base":16}}},"used_operators":["srAu1WTS94","i8ToyICDmI"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5249","layer":2},{"info":"number node, value=1895","layer":2},{"info":"compute binary expreesion, left_input=5249, right_input=1895, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"⨵≀≌(∃⊬1481∲⫓∃⊬767)=∃⊬0","reverse_text":"∃⊬0=⨵≀≌(∃⊬1481∲⫓∃⊬767)","cot":[{"info":"∃⊬1481∲⫓∃⊬767=∃⊬0","layer":1},{"info":"⨵≀≌∃⊬0=∃⊬0","layer":0}]}
+{"id":592,"expression_no_base_symbol":"⊄⩳↩($1711$↛⩡⫤)","expression":"⊄⩳↩(∃⊬6AF↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5270,"operation_count":2,"complexity_ratio":2635.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1711,"base":16}}},"used_operators":["8w2t5hMYqp","FU0Cs4j7VP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"∃⊬BA5D6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1711","layer":2},{"info":"compute unary expreesion, input=1711, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-254450","layer":1},{"info":"compute unary expreesion, input=-254450, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=763350","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(∃⊬6AF↛⩡⫤)=∃⊬BA5D6","reverse_text":"∃⊬BA5D6=⊄⩳↩(∃⊬6AF↛⩡⫤)","cot":[{"info":"∃⊬6AF↛⩡⫤=∃⊬-3E1F2","layer":1},{"info":"⊄⩳↩∃⊬-3E1F2=∃⊬BA5D6","layer":0}]}
+{"id":593,"expression_no_base_symbol":"↯⪼($6433$⨎$8079$)","expression":"↯⪼(∃⊬1921⨎∃⊬1F8F)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6433,"base":16},"right_expr":{"type":"numeric_atoms","value":8079,"base":16}}},"used_operators":["8jW3W4yZS5","rJVOvQCfKK"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6433","layer":2},{"info":"number node, value=8079","layer":2},{"info":"compute binary expreesion, left_input=6433, right_input=8079, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8079","layer":1},{"info":"compute unary expreesion, input=8079, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∃⊬1921⨎∃⊬1F8F)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(∃⊬1921⨎∃⊬1F8F)","cot":[{"info":"∃⊬1921⨎∃⊬1F8F=∃⊬1F8F","layer":1},{"info":"↯⪼∃⊬1F8F=∃⊬-15","layer":0}]}
+{"id":594,"expression_no_base_symbol":"(↥$2394$)⪒$5745$⨟⋌⩍$2766$","expression":"(↥∃⊬95A)⪒∃⊬1671⨟⋌⩍∃⊬ACE","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":2394,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5745,"base":16},"right_expr":{"type":"numeric_atoms","value":2766,"base":16}}},"used_operators":["f6k1SAg4EE","A8NUZmVepG","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2394","layer":2},{"info":"compute unary expreesion, input=2394, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":1},{"info":"number node, value=5745","layer":2},{"info":"number node, value=2766","layer":2},{"info":"compute binary expreesion, left_input=5745, right_input=2766, 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=48, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↥∃⊬95A)⪒∃⊬1671⨟⋌⩍∃⊬ACE=NaN","reverse_text":"NaN=(↥∃⊬95A)⪒∃⊬1671⨟⋌⩍∃⊬ACE","cot":[{"info":"↥∃⊬95A=∃⊬30","layer":1},{"info":"∃⊬1671⨟⋌⩍∃⊬ACE=NaN","layer":1},{"info":"∃⊬30⪒NaN=NaN","layer":0}]}
+{"id":595,"expression_no_base_symbol":"($3665$⇋≉)⨳⩥⨓($2807$⨁⊸⫻)","expression":"(∃⊬E51⇋≉)⨳⩥⨓(∃⊬AF7⨁⊸⫻)","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":3665,"base":16}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2807,"base":16}}},"used_operators":["nCS4ZIUYfx","XIabStNQrY","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬-1149","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3665","layer":2},{"info":"compute unary expreesion, input=3665, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7232","layer":1},{"info":"number node, value=2807","layer":2},{"info":"compute unary expreesion, input=2807, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2807","layer":1},{"info":"compute binary expreesion, left_input=7232, right_input=2807, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4425","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E51⇋≉)⨳⩥⨓(∃⊬AF7⨁⊸⫻)=∃⊬-1149","reverse_text":"∃⊬-1149=(∃⊬E51⇋≉)⨳⩥⨓(∃⊬AF7⨁⊸⫻)","cot":[{"info":"∃⊬E51⇋≉=∃⊬1C40","layer":1},{"info":"∃⊬AF7⨁⊸⫻=∃⊬AF7","layer":1},{"info":"∃⊬1C40⨳⩥⨓∃⊬AF7=∃⊬-1149","layer":0}]}
+{"id":596,"expression_no_base_symbol":"($6432$⫩⊇)⪛($1468$/$1986$)","expression":"(∃⊬1920⫩⊇)⪛(∃⊬5BC/∃⊬7C2)","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":6432,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1468,"base":16},"right_expr":{"type":"numeric_atoms","value":1986,"base":16}}},"used_operators":["uFcxV4UQCh","BjRHVeLaeN","XhwjNDsVaA"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6432","layer":2},{"info":"compute unary expreesion, input=6432, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6390","layer":1},{"info":"number node, value=1468","layer":2},{"info":"number node, value=1986","layer":2},{"info":"compute binary expreesion, left_input=1468, right_input=1986, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-6390, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1920⫩⊇)⪛(∃⊬5BC/∃⊬7C2)=NaN","reverse_text":"NaN=(∃⊬1920⫩⊇)⪛(∃⊬5BC/∃⊬7C2)","cot":[{"info":"∃⊬1920⫩⊇=∃⊬-18F6","layer":1},{"info":"∃⊬5BC/∃⊬7C2=∃⊬0","layer":1},{"info":"∃⊬-18F6⪛∃⊬0=NaN","layer":0}]}
+{"id":597,"expression_no_base_symbol":"($2024$⇼⇔∾$1589$)⋥≓≎($2232$↙$1218$)","expression":"(∃⊬7E8⇼⇔∾∃⊬635)⋥≓≎(∃⊬8B8↙∃⊬4C2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1225,"operation_count":3,"complexity_ratio":408.3333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2024,"base":16},"right_expr":{"type":"numeric_atoms","value":1589,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2232,"base":16},"right_expr":{"type":"numeric_atoms","value":1218,"base":16}}},"used_operators":["Qy55tPpLXF","tifHPKVTfV","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2024","layer":2},{"info":"number node, value=1589","layer":2},{"info":"compute binary expreesion, left_input=2024, right_input=1589, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-435","layer":1},{"info":"number node, value=2232","layer":2},{"info":"number node, value=1218","layer":2},{"info":"compute binary expreesion, left_input=2232, right_input=1218, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3654","layer":1},{"info":"compute binary expreesion, left_input=-435, right_input=-3654, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"(∃⊬7E8⇼⇔∾∃⊬635)⋥≓≎(∃⊬8B8↙∃⊬4C2)=∃⊬43","reverse_text":"∃⊬43=(∃⊬7E8⇼⇔∾∃⊬635)⋥≓≎(∃⊬8B8↙∃⊬4C2)","cot":[{"info":"∃⊬7E8⇼⇔∾∃⊬635=∃⊬-1B3","layer":1},{"info":"∃⊬8B8↙∃⊬4C2=∃⊬-E46","layer":1},{"info":"∃⊬-1B3⋥≓≎∃⊬-E46=∃⊬43","layer":0}]}
+{"id":598,"expression_no_base_symbol":"($1793$*$1921$)⨐⩸⫘($1026$∧)","expression":"(∃⊬701*∃⊬781)⨐⩸⫘(∃⊬402∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1800,"operation_count":3,"complexity_ratio":600.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1793,"base":16},"right_expr":{"type":"numeric_atoms","value":1921,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1026,"base":16}}},"used_operators":["fu6greOZ01","9HNa5Wba9A","z63VuFQld9"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1793","layer":2},{"info":"number node, value=1921","layer":2},{"info":"compute binary expreesion, left_input=1793, right_input=1921, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3444353","layer":1},{"info":"number node, value=1026","layer":2},{"info":"compute unary expreesion, input=1026, 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=3444353, 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":16,"result_base":16,"text":"(∃⊬701*∃⊬781)⨐⩸⫘(∃⊬402∧)=NaN","reverse_text":"NaN=(∃⊬701*∃⊬781)⨐⩸⫘(∃⊬402∧)","cot":[{"info":"∃⊬701*∃⊬781=∃⊬348E81","layer":1},{"info":"∃⊬402∧=NaN","layer":1},{"info":"∃⊬348E81⨐⩸⫘NaN=NaN","layer":0}]}
+{"id":599,"expression_no_base_symbol":"($4328$∲⫓$1048$)≧⫂∧($1652$⇋≉)","expression":"(∃⊬10E8∲⫓∃⊬418)≧⫂∧(∃⊬674⇋≉)","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":4328,"base":16},"right_expr":{"type":"numeric_atoms","value":1048,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1652,"base":16}}},"used_operators":["Ph9nP6C5qx","i8ToyICDmI","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬AAD","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4328","layer":2},{"info":"number node, value=1048","layer":2},{"info":"compute binary expreesion, left_input=4328, right_input=1048, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1652","layer":2},{"info":"compute unary expreesion, input=1652, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3206","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3206, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2733","layer":0}],"base":16,"result_base":16,"text":"(∃⊬10E8∲⫓∃⊬418)≧⫂∧(∃⊬674⇋≉)=∃⊬AAD","reverse_text":"∃⊬AAD=(∃⊬10E8∲⫓∃⊬418)≧⫂∧(∃⊬674⇋≉)","cot":[{"info":"∃⊬10E8∲⫓∃⊬418=∃⊬0","layer":1},{"info":"∃⊬674⇋≉=∃⊬C86","layer":1},{"info":"∃⊬0≧⫂∧∃⊬C86=∃⊬AAD","layer":0}]}
+{"id":600,"expression_no_base_symbol":"($2956$⫸⊐$2798$)⨳⩥⨓($1324$≦≮≮)","expression":"(∃⊬B8C⫸⊐∃⊬AEE)⨳⩥⨓(∃⊬52C≦≮≮)","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":2956,"base":16},"right_expr":{"type":"numeric_atoms","value":2798,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1324,"base":16}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-3ABF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2956","layer":2},{"info":"number node, value=2798","layer":2},{"info":"compute binary expreesion, left_input=2956, right_input=2798, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11067","layer":1},{"info":"number node, value=1324","layer":2},{"info":"compute unary expreesion, input=1324, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3972","layer":1},{"info":"compute binary expreesion, left_input=11067, right_input=-3972, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-15039","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B8C⫸⊐∃⊬AEE)⨳⩥⨓(∃⊬52C≦≮≮)=∃⊬-3ABF","reverse_text":"∃⊬-3ABF=(∃⊬B8C⫸⊐∃⊬AEE)⨳⩥⨓(∃⊬52C≦≮≮)","cot":[{"info":"∃⊬B8C⫸⊐∃⊬AEE=∃⊬2B3B","layer":1},{"info":"∃⊬52C≦≮≮=∃⊬-F84","layer":1},{"info":"∃⊬2B3B⨳⩥⨓∃⊬-F84=∃⊬-3ABF","layer":0}]}
+{"id":601,"expression_no_base_symbol":"($1607$∧)≫≃","expression":"(∃⊬647∧)≫≃","highest_n_order":5,"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":1607,"base":16}}},"used_operators":["X99M06cbEe","z63VuFQld9"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1607","layer":2},{"info":"compute unary expreesion, input=1607, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬647∧)≫≃=NaN","reverse_text":"NaN=(∃⊬647∧)≫≃","cot":[{"info":"∃⊬647∧=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
+{"id":602,"expression_no_base_symbol":"($3590$⋷$1747$)⨓($3730$⨸⪁$1131$)","expression":"(∃⊬E06⋷∃⊬6D3)⨓(∃⊬E92⨸⪁∃⊬46B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9734,"operation_count":3,"complexity_ratio":3244.6666666666665,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3590,"base":16},"right_expr":{"type":"numeric_atoms","value":1747,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3730,"base":16},"right_expr":{"type":"numeric_atoms","value":1131,"base":16}}},"used_operators":["3ViojmjbAp","23Mk6UjR3U","g55IO6H4Gj"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-25FD","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3590","layer":2},{"info":"number node, value=1747","layer":2},{"info":"compute binary expreesion, left_input=3590, right_input=1747, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-96","layer":1},{"info":"number node, value=3730","layer":2},{"info":"number node, value=1131","layer":2},{"info":"compute binary expreesion, left_input=3730, right_input=1131, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9722","layer":1},{"info":"compute binary expreesion, left_input=-96, right_input=9722, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9725","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E06⋷∃⊬6D3)⨓(∃⊬E92⨸⪁∃⊬46B)=∃⊬-25FD","reverse_text":"∃⊬-25FD=(∃⊬E06⋷∃⊬6D3)⨓(∃⊬E92⨸⪁∃⊬46B)","cot":[{"info":"∃⊬E06⋷∃⊬6D3=∃⊬-60","layer":1},{"info":"∃⊬E92⨸⪁∃⊬46B=∃⊬25FA","layer":1},{"info":"∃⊬-60⨓∃⊬25FA=∃⊬-25FD","layer":0}]}
+{"id":603,"expression_no_base_symbol":"⋗⩬⋾($4781$⨸⪁$3962$)","expression":"⋗⩬⋾(∃⊬12AD⨸⪁∃⊬F7A)","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":4781,"base":16},"right_expr":{"type":"numeric_atoms","value":3962,"base":16}}},"used_operators":["DpFCA1CohY","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-CCEA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4781","layer":2},{"info":"number node, value=3962","layer":2},{"info":"compute binary expreesion, left_input=4781, right_input=3962, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17486","layer":1},{"info":"compute unary expreesion, input=17486, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-52458","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾(∃⊬12AD⨸⪁∃⊬F7A)=∃⊬-CCEA","reverse_text":"∃⊬-CCEA=⋗⩬⋾(∃⊬12AD⨸⪁∃⊬F7A)","cot":[{"info":"∃⊬12AD⨸⪁∃⊬F7A=∃⊬444E","layer":1},{"info":"⋗⩬⋾∃⊬444E=∃⊬-CCEA","layer":0}]}
+{"id":604,"expression_no_base_symbol":"$1918$⪢$1469$≧⫂∧(↩$1318$)","expression":"∃⊬77E⪢∃⊬5BD≧⫂∧(↩∃⊬526)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1753,"operation_count":3,"complexity_ratio":584.3333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1918,"base":16},"right_expr":{"type":"numeric_atoms","value":1469,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1318,"base":16}}},"used_operators":["Ph9nP6C5qx","dWAJyo7jo9","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1918","layer":2},{"info":"number node, value=1469","layer":2},{"info":"compute binary expreesion, left_input=1918, right_input=1469, 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=1318","layer":2},{"info":"compute unary expreesion, input=1318, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7764","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7764, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬77E⪢∃⊬5BD≧⫂∧(↩∃⊬526)=NaN","reverse_text":"NaN=∃⊬77E⪢∃⊬5BD≧⫂∧(↩∃⊬526)","cot":[{"info":"∃⊬77E⪢∃⊬5BD=NaN","layer":1},{"info":"↩∃⊬526=∃⊬-1E54","layer":1},{"info":"NaN≧⫂∧∃⊬-1E54=NaN","layer":0}]}
+{"id":605,"expression_no_base_symbol":"$1953$⪮%⊝$4865$/($2020$⪨≂$3278$)","expression":"∃⊬7A1⪮%⊝∃⊬1301/(∃⊬7E4⪨≂∃⊬CCE)","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":1953,"base":16},"right_expr":{"type":"numeric_atoms","value":4865,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2020,"base":16},"right_expr":{"type":"numeric_atoms","value":3278,"base":16}}},"used_operators":["XhwjNDsVaA","IWmyXbctLI","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1953","layer":2},{"info":"number node, value=4865","layer":2},{"info":"compute binary expreesion, left_input=1953, right_input=4865, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4222","layer":1},{"info":"number node, value=2020","layer":2},{"info":"number node, value=3278","layer":2},{"info":"compute binary expreesion, left_input=2020, right_input=3278, 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=-2414","layer":1},{"info":"compute binary expreesion, left_input=4222, right_input=-2414, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":0}],"base":16,"result_base":16,"text":"∃⊬7A1⪮%⊝∃⊬1301/(∃⊬7E4⪨≂∃⊬CCE)=∃⊬-2","reverse_text":"∃⊬-2=∃⊬7A1⪮%⊝∃⊬1301/(∃⊬7E4⪨≂∃⊬CCE)","cot":[{"info":"∃⊬7A1⪮%⊝∃⊬1301=∃⊬107E","layer":1},{"info":"∃⊬7E4⪨≂∃⊬CCE=∃⊬-96E","layer":1},{"info":"∃⊬107E/∃⊬-96E=∃⊬-2","layer":0}]}
+{"id":606,"expression_no_base_symbol":"(⨵≀≌$8286$)⋓$5862$⊴$6403$","expression":"(⨵≀≌∃⊬205E)⋓∃⊬16E6⊴∃⊬1903","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6425,"operation_count":3,"complexity_ratio":2141.6666666666665,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8286,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5862,"base":16},"right_expr":{"type":"numeric_atoms","value":6403,"base":16}}},"used_operators":["T2fj7uvVaJ","srAu1WTS94","Nsiff2A1zJ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8286","layer":2},{"info":"compute unary expreesion, input=8286, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-24858","layer":1},{"info":"number node, value=5862","layer":2},{"info":"number node, value=6403","layer":2},{"info":"compute binary expreesion, left_input=5862, right_input=6403, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-24858, 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":16,"result_base":16,"text":"(⨵≀≌∃⊬205E)⋓∃⊬16E6⊴∃⊬1903=NaN","reverse_text":"NaN=(⨵≀≌∃⊬205E)⋓∃⊬16E6⊴∃⊬1903","cot":[{"info":"⨵≀≌∃⊬205E=∃⊬-611A","layer":1},{"info":"∃⊬16E6⊴∃⊬1903=NaN","layer":1},{"info":"∃⊬-611A⋓NaN=NaN","layer":0}]}
+{"id":607,"expression_no_base_symbol":"⇁⨣⪵$1332$⋥≓≎$1617$","expression":"⇁⨣⪵∃⊬534⋥≓≎∃⊬651","highest_n_order":5,"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":1332,"base":16},"right_expr":{"type":"numeric_atoms","value":1617,"base":16}}},"used_operators":["inkyxCbjAn","Qy55tPpLXF"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1332","layer":2},{"info":"number node, value=1617","layer":2},{"info":"compute binary expreesion, left_input=1332, right_input=1617, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1935","layer":1},{"info":"compute unary expreesion, input=1935, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵∃⊬534⋥≓≎∃⊬651=NaN","reverse_text":"NaN=⇁⨣⪵∃⊬534⋥≓≎∃⊬651","cot":[{"info":"∃⊬534⋥≓≎∃⊬651=∃⊬78F","layer":1},{"info":"⇁⨣⪵∃⊬78F=NaN","layer":0}]}
+{"id":608,"expression_no_base_symbol":"$2809$⪮%⊝$1603$↙$1025$⫥∨⫟$1478$","expression":"∃⊬AF9���%⊝∃⊬643↙∃⊬401⫥∨⫟∃⊬5C6","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":167,"operation_count":3,"complexity_ratio":55.666666666666664,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2809,"base":16},"right_expr":{"type":"numeric_atoms","value":1603,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1025,"base":16},"right_expr":{"type":"numeric_atoms","value":1478,"base":16}}},"used_operators":["yyfyN0ffXY","IWmyXbctLI","KYD54nUTWz"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2809","layer":2},{"info":"number node, value=1603","layer":2},{"info":"compute binary expreesion, left_input=2809, right_input=1603, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5934","layer":1},{"info":"number node, value=1025","layer":2},{"info":"number node, value=1478","layer":2},{"info":"compute binary expreesion, left_input=1025, right_input=1478, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5934, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬AF9⪮%⊝∃⊬643↙∃⊬401⫥∨⫟∃⊬5C6=NaN","reverse_text":"NaN=∃⊬AF9⪮%⊝∃⊬643↙∃⊬401⫥∨⫟∃⊬5C6","cot":[{"info":"∃⊬AF9⪮%⊝∃⊬643=∃⊬172E","layer":1},{"info":"∃⊬401⫥∨⫟∃⊬5C6=NaN","layer":1},{"info":"∃⊬172E↙NaN=NaN","layer":0}]}
+{"id":609,"expression_no_base_symbol":"($1079$⪄$4380$)⊴($2811$⇼⇔∾$4466$)","expression":"(∃⊬437⪄∃⊬111C)⊴(∃⊬AFB⇼⇔∾∃⊬1172)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3171,"operation_count":3,"complexity_ratio":1057.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1079,"base":16},"right_expr":{"type":"numeric_atoms","value":4380,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2811,"base":16},"right_expr":{"type":"numeric_atoms","value":4466,"base":16}}},"used_operators":["Nsiff2A1zJ","SUmda5xLS4","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":2},{"info":"number node, value=4380","layer":2},{"info":"compute binary expreesion, left_input=1079, right_input=4380, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-173301","layer":1},{"info":"number node, value=2811","layer":2},{"info":"number node, value=4466","layer":2},{"info":"compute binary expreesion, left_input=2811, right_input=4466, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1655","layer":1},{"info":"compute binary expreesion, left_input=-173301, right_input=1655, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬437⪄∃⊬111C)⊴(∃⊬AFB⇼⇔∾∃⊬1172)=NaN","reverse_text":"NaN=(∃⊬437⪄∃⊬111C)⊴(∃⊬AFB⇼⇔∾∃⊬1172)","cot":[{"info":"∃⊬437⪄∃⊬111C=∃⊬-2A4F5","layer":1},{"info":"∃⊬AFB⇼⇔∾∃⊬1172=∃⊬677","layer":1},{"info":"∃⊬-2A4F5⊴∃⊬677=NaN","layer":0}]}
+{"id":610,"expression_no_base_symbol":"($4552$⪄$1388$)⩷∴($1655$⋓$4905$)","expression":"(∃⊬11C8⪄∃⊬56C)⩷∴(∃⊬677⋓∃⊬1329)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":114,"operation_count":3,"complexity_ratio":38.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4552,"base":16},"right_expr":{"type":"numeric_atoms","value":1388,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1655,"base":16},"right_expr":{"type":"numeric_atoms","value":4905,"base":16}}},"used_operators":["9FxExcQeMw","SUmda5xLS4","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬-149C32","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4552","layer":2},{"info":"number node, value=1388","layer":2},{"info":"compute binary expreesion, left_input=4552, right_input=1388, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-675337","layer":1},{"info":"number node, value=1655","layer":2},{"info":"number node, value=4905","layer":2},{"info":"compute binary expreesion, left_input=1655, right_input=4905, 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=-675337, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1350706","layer":0}],"base":16,"result_base":16,"text":"(∃⊬11C8⪄∃⊬56C)⩷∴(∃⊬677⋓∃⊬1329)=∃⊬-149C32","reverse_text":"∃⊬-149C32=(∃⊬11C8⪄∃⊬56C)⩷∴(∃⊬677⋓∃⊬1329)","cot":[{"info":"∃⊬11C8⪄∃⊬56C=∃⊬-A4E09","layer":1},{"info":"∃⊬677⋓∃⊬1329=∃⊬0","layer":1},{"info":"∃⊬-A4E09⩷∴∃⊬0=∃⊬-149C32","layer":0}]}
+{"id":611,"expression_no_base_symbol":"↥$2313$⊴$1659$","expression":"↥∃⊬909⊴∃⊬67B","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2002,"operation_count":2,"complexity_ratio":1001.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2313,"base":16},"right_expr":{"type":"numeric_atoms","value":1659,"base":16}}},"used_operators":["A8NUZmVepG","Nsiff2A1zJ"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2313","layer":2},{"info":"number node, value=1659","layer":2},{"info":"compute binary expreesion, left_input=2313, right_input=1659, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↥∃⊬909⊴∃⊬67B=NaN","reverse_text":"NaN=↥∃⊬909⊴∃⊬67B","cot":[{"info":"∃⊬909⊴∃⊬67B=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
+{"id":612,"expression_no_base_symbol":"($1021$∸)⪐","expression":"(∃⊬3FD∸)⪐","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":179,"operation_count":2,"complexity_ratio":89.5,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1021,"base":16}}},"used_operators":["eH2TOUuTDT","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"∃⊬162","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":2},{"info":"compute unary expreesion, input=1021, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=354","layer":0}],"base":16,"result_base":16,"text":"(∃⊬3FD∸)⪐=∃⊬162","reverse_text":"∃⊬162=(∃⊬3FD∸)⪐","cot":[{"info":"∃⊬3FD∸=∃⊬B1","layer":1},{"info":"∃⊬B1⪐=∃⊬162","layer":0}]}
+{"id":613,"expression_no_base_symbol":"$3626$⨓$6668$⋝⋈⪟($2310$⊭↱$3476$)","expression":"∃⊬E2A⨓∃⊬1A0C⋝⋈⪟(∃⊬906⊭↱∃⊬D94)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6683,"operation_count":3,"complexity_ratio":2227.6666666666665,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3626,"base":16},"right_expr":{"type":"numeric_atoms","value":6668,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2310,"base":16},"right_expr":{"type":"numeric_atoms","value":3476,"base":16}}},"used_operators":["2DDjHMKMc0","3ViojmjbAp","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1A0F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3626","layer":2},{"info":"number node, value=6668","layer":2},{"info":"compute binary expreesion, left_input=3626, right_input=6668, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6671","layer":1},{"info":"number node, value=2310","layer":2},{"info":"number node, value=3476","layer":2},{"info":"compute binary expreesion, left_input=2310, right_input=3476, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2337","layer":1},{"info":"compute binary expreesion, left_input=-6671, right_input=2337, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-6671","layer":0}],"base":16,"result_base":16,"text":"∃⊬E2A⨓∃⊬1A0C⋝⋈⪟(∃⊬906⊭↱∃⊬D94)=∃⊬-1A0F","reverse_text":"∃⊬-1A0F=∃⊬E2A⨓∃⊬1A0C⋝⋈⪟(∃⊬906⊭↱∃⊬D94)","cot":[{"info":"∃⊬E2A⨓∃⊬1A0C=∃⊬-1A0F","layer":1},{"info":"∃⊬906⊭↱∃⊬D94=∃⊬921","layer":1},{"info":"∃⊬-1A0F⋝⋈⪟∃⊬921=∃⊬-1A0F","layer":0}]}
+{"id":614,"expression_no_base_symbol":"⨈⫕$1352$∑⇟⊟$4694$","expression":"⨈⫕∃⊬548∑⇟⊟∃⊬1256","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":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1352,"base":16},"right_expr":{"type":"numeric_atoms","value":4694,"base":16}}},"used_operators":["megm06wKyl","U7g4x0WXJJ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1352","layer":2},{"info":"number node, value=4694","layer":2},{"info":"compute binary expreesion, left_input=1352, right_input=4694, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"⨈⫕∃⊬548∑⇟⊟∃⊬1256=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕∃⊬548∑⇟⊟∃⊬1256","cot":[{"info":"∃⊬548∑⇟⊟∃⊬1256=NaN","layer":1},{"info":"⨈⫕NaN=∃⊬-15","layer":0}]}
+{"id":615,"expression_no_base_symbol":"≦∁($6869$⊪)","expression":"≦∁(∃⊬1AD5⊪)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":60,"operation_count":2,"complexity_ratio":30.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6869,"base":16}}},"used_operators":["9ICcGScMcE","zVYPLywUTj"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"∃⊬-140","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6869","layer":2},{"info":"compute unary expreesion, input=6869, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":0}],"base":16,"result_base":16,"text":"≦∁(∃⊬1AD5⊪)=∃⊬-140","reverse_text":"∃⊬-140=≦∁(∃⊬1AD5⊪)","cot":[{"info":"∃⊬1AD5⊪=∃⊬0","layer":1},{"info":"≦∁∃⊬0=∃⊬-140","layer":0}]}
+{"id":616,"expression_no_base_symbol":"∥⊫$7543$⩷∴$1701$","expression":"∥⊫∃⊬1D77⩷∴∃⊬6A5","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":7543,"base":16},"right_expr":{"type":"numeric_atoms","value":1701,"base":16}}},"used_operators":["P8v4zCKN1o","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬30E8","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7543","layer":2},{"info":"number node, value=1701","layer":2},{"info":"compute binary expreesion, left_input=7543, right_input=1701, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11652","layer":1},{"info":"compute unary expreesion, input=11652, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=12520","layer":0}],"base":16,"result_base":16,"text":"∥⊫∃⊬1D77⩷∴∃⊬6A5=∃⊬30E8","reverse_text":"∃⊬30E8=∥⊫∃⊬1D77⩷∴∃⊬6A5","cot":[{"info":"∃⊬1D77⩷∴∃⊬6A5=∃⊬2D84","layer":1},{"info":"∥⊫∃⊬2D84=∃⊬30E8","layer":0}]}
+{"id":617,"expression_no_base_symbol":"($1119$⋝⋈⪟$2023$)∀⇚≩(≤/$1813$)","expression":"(∃⊬45F⋝⋈⪟∃⊬7E7)∀⇚≩(��/∃⊬715)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7837,"operation_count":3,"complexity_ratio":2612.3333333333335,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1119,"base":16},"right_expr":{"type":"numeric_atoms","value":2023,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1813,"base":16}}},"used_operators":["LRNGc0VcxI","2DDjHMKMc0","eLAdDNolq6"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":2},{"info":"number node, value=2023","layer":2},{"info":"compute binary expreesion, left_input=1119, right_input=2023, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1119","layer":1},{"info":"number node, value=1813","layer":2},{"info":"compute unary expreesion, input=1813, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1329","layer":1},{"info":"compute binary expreesion, left_input=1119, right_input=-1329, 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":16,"result_base":16,"text":"(∃⊬45F⋝⋈⪟∃⊬7E7)∀⇚≩(≤/∃⊬715)=NaN","reverse_text":"NaN=(∃⊬45F⋝⋈⪟∃⊬7E7)∀⇚≩(≤/∃⊬715)","cot":[{"info":"∃⊬45F⋝⋈⪟∃⊬7E7=∃⊬45F","layer":1},{"info":"≤/∃⊬715=∃⊬-531","layer":1},{"info":"∃⊬45F∀⇚≩∃⊬-531=NaN","layer":0}]}
+{"id":618,"expression_no_base_symbol":"(⩦⩻⨪$2203$)≹⇙⪍($4839$⩚⊴⇥$1354$)","expression":"(⩦⩻⨪∃⊬89B)≹⇙⪍(∃⊬12E7⩚⊴⇥∃⊬54A)","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":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2203,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4839,"base":16},"right_expr":{"type":"numeric_atoms","value":1354,"base":16}}},"used_operators":["AHs5Up7iyr","2td37pGCOC","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2203","layer":2},{"info":"compute unary expreesion, input=2203, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2203","layer":1},{"info":"number node, value=4839","layer":2},{"info":"number node, value=1354","layer":2},{"info":"compute binary expreesion, left_input=4839, right_input=1354, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6314","layer":1},{"info":"compute binary expreesion, left_input=2203, right_input=-6314, 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":16,"result_base":16,"text":"(⩦⩻⨪∃⊬89B)≹⇙⪍(∃⊬12E7⩚⊴⇥∃⊬54A)=NaN","reverse_text":"NaN=(⩦⩻⨪∃⊬89B)≹⇙⪍(∃⊬12E7⩚⊴⇥∃⊬54A)","cot":[{"info":"⩦⩻⨪∃⊬89B=∃⊬89B","layer":1},{"info":"∃⊬12E7⩚⊴⇥∃⊬54A=∃⊬-18AA","layer":1},{"info":"∃⊬89B≹⇙⪍∃⊬-18AA=NaN","layer":0}]}
+{"id":619,"expression_no_base_symbol":"≤/($2352$*$1847$)","expression":"≤/(∃⊬930*∃⊬737)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1848,"operation_count":2,"complexity_ratio":924.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2352,"base":16},"right_expr":{"type":"numeric_atoms","value":1847,"base":16}}},"used_operators":["eLAdDNolq6","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe"],"result":"∃⊬-42476C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2352","layer":2},{"info":"number node, value=1847","layer":2},{"info":"compute binary expreesion, left_input=2352, right_input=1847, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4344144","layer":1},{"info":"compute unary expreesion, input=4344144, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4343660","layer":0}],"base":16,"result_base":16,"text":"≤/(∃⊬930*∃⊬737)=∃⊬-42476C","reverse_text":"∃⊬-42476C=≤/(∃⊬930*∃⊬737)","cot":[{"info":"∃⊬930*∃⊬737=∃⊬424950","layer":1},{"info":"≤/∃⊬424950=∃⊬-42476C","layer":0}]}
+{"id":620,"expression_no_base_symbol":"($3869$⩷∴$5609$)⪮%⊝$3193$⊴$2474$","expression":"(∃⊬F1D⩷∴∃⊬15E9)⪮%⊝∃⊬C79⊴∃⊬9AA","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6003,"operation_count":3,"complexity_ratio":2001.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3869,"base":16},"right_expr":{"type":"numeric_atoms","value":5609,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3193,"base":16},"right_expr":{"type":"numeric_atoms","value":2474,"base":16}}},"used_operators":["IWmyXbctLI","9FxExcQeMw","Nsiff2A1zJ"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3869","layer":2},{"info":"number node, value=5609","layer":2},{"info":"compute binary expreesion, left_input=3869, right_input=5609, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3512","layer":1},{"info":"number node, value=3193","layer":2},{"info":"number node, value=2474","layer":2},{"info":"compute binary expreesion, left_input=3193, right_input=2474, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3512, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F1D⩷∴∃⊬15E9)⪮%⊝∃⊬C79⊴∃⊬9AA=NaN","reverse_text":"NaN=(∃⊬F1D⩷∴∃⊬15E9)⪮%⊝∃⊬C79⊴∃⊬9AA","cot":[{"info":"∃⊬F1D⩷∴∃⊬15E9=∃⊬-DB8","layer":1},{"info":"∃⊬C79⊴∃⊬9AA=NaN","layer":1},{"info":"∃⊬-DB8⪮%⊝NaN=NaN","layer":0}]}
+{"id":621,"expression_no_base_symbol":"(⊄⩳↩$2552$)⋳⪒$1211$∀⇚≩$4071$","expression":"(⊄⩳↩∃⊬9F8)⋳⪒∃⊬4BB∀⇚≩∃⊬FE7","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8487,"operation_count":3,"complexity_ratio":2829.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2552,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1211,"base":16},"right_expr":{"type":"numeric_atoms","value":4071,"base":16}}},"used_operators":["12rbrZMWeM","8w2t5hMYqp","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2552","layer":2},{"info":"compute unary expreesion, input=2552, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7656","layer":1},{"info":"number node, value=1211","layer":2},{"info":"number node, value=4071","layer":2},{"info":"compute binary expreesion, left_input=1211, right_input=4071, 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=-7656, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊄⩳↩∃⊬9F8)⋳⪒∃⊬4BB∀⇚≩∃⊬FE7=NaN","reverse_text":"NaN=(⊄⩳↩∃⊬9F8)⋳⪒∃⊬4BB∀⇚≩∃⊬FE7","cot":[{"info":"⊄⩳↩∃⊬9F8=∃⊬-1DE8","layer":1},{"info":"∃⊬4BB∀⇚≩∃⊬FE7=NaN","layer":1},{"info":"∃⊬-1DE8⋳⪒NaN=NaN","layer":0}]}
+{"id":622,"expression_no_base_symbol":"+⊝⨔($6446$≭$1020$)","expression":"+⊝⨔(∃⊬192E≭∃⊬3FC)","highest_n_order":5,"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":6446,"base":16},"right_expr":{"type":"numeric_atoms","value":1020,"base":16}}},"used_operators":["DhbWaqg5eL","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6446","layer":2},{"info":"number node, value=1020","layer":2},{"info":"compute binary expreesion, left_input=6446, right_input=1020, 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 = 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":16,"result_base":16,"text":"+⊝⨔(∃⊬192E≭∃⊬3FC)=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(∃⊬192E≭∃⊬3FC)","cot":[{"info":"∃⊬192E≭∃⊬3FC=NaN","layer":1},{"info":"+⊝⨔NaN=∃⊬5F2","layer":0}]}
+{"id":623,"expression_no_base_symbol":"$3611$⪛$6697$⨰($1353$⩷∴$3025$)","expression":"∃⊬E1B⪛∃⊬1A29⨰(∃⊬549⩷∴∃⊬BD1)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3611,"base":16},"right_expr":{"type":"numeric_atoms","value":6697,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1353,"base":16},"right_expr":{"type":"numeric_atoms","value":3025,"base":16}}},"used_operators":["eewbuw0ToL","uFcxV4UQCh","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z"],"result":"∃⊬1B55","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3611","layer":2},{"info":"number node, value=6697","layer":2},{"info":"compute binary expreesion, left_input=3611, right_input=6697, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3611","layer":1},{"info":"number node, value=1353","layer":2},{"info":"number node, value=3025","layer":2},{"info":"compute binary expreesion, left_input=1353, right_input=3025, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3376","layer":1},{"info":"compute binary expreesion, left_input=3611, right_input=-3376, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6997","layer":0}],"base":16,"result_base":16,"text":"∃⊬E1B⪛∃⊬1A29⨰(∃⊬549⩷∴∃⊬BD1)=∃⊬1B55","reverse_text":"∃⊬1B55=∃⊬E1B⪛∃⊬1A29⨰(∃⊬549⩷∴∃⊬BD1)","cot":[{"info":"∃⊬E1B⪛∃⊬1A29=∃⊬E1B","layer":1},{"info":"∃⊬549⩷∴∃⊬BD1=∃⊬-D30","layer":1},{"info":"∃⊬E1B⨰∃⊬-D30=∃⊬1B55","layer":0}]}
+{"id":624,"expression_no_base_symbol":"⨰⫟⨤($1006$⩨$3084$)","expression":"⨰⫟⨤(∃⊬3EE⩨∃⊬C0C)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":955,"operation_count":2,"complexity_ratio":477.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1006,"base":16},"right_expr":{"type":"numeric_atoms","value":3084,"base":16}}},"used_operators":["Tw270M8GLb","2DlMacCsIx"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1006","layer":2},{"info":"number node, value=3084","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=3084, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤(∃⊬3EE⩨∃⊬C0C)=NaN","reverse_text":"NaN=⨰⫟⨤(∃⊬3EE⩨∃⊬C0C)","cot":[{"info":"∃⊬3EE⩨∃⊬C0C=∃⊬-9","layer":1},{"info":"⨰⫟⨤∃⊬-9=NaN","layer":0}]}
+{"id":625,"expression_no_base_symbol":"$3422$↺$1045$↺(∥⊫$4384$)","expression":"∃⊬D5E↺∃⊬415↺(∥⊫∃⊬1120)","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":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3422,"base":16},"right_expr":{"type":"numeric_atoms","value":1045,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4384,"base":16}}},"used_operators":["7j4O788W3g","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1484","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3422","layer":2},{"info":"number node, value=1045","layer":2},{"info":"compute binary expreesion, left_input=3422, right_input=1045, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1045","layer":1},{"info":"number node, value=4384","layer":2},{"info":"compute unary expreesion, input=4384, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5252","layer":1},{"info":"compute binary expreesion, left_input=1045, right_input=5252, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5252","layer":0}],"base":16,"result_base":16,"text":"∃⊬D5E↺∃⊬415↺(∥⊫∃⊬1120)=∃⊬1484","reverse_text":"∃⊬1484=∃⊬D5E↺∃⊬415↺(∥⊫∃⊬1120)","cot":[{"info":"∃⊬D5E↺∃⊬415=∃⊬415","layer":1},{"info":"∥⊫∃⊬1120=∃⊬1484","layer":1},{"info":"∃⊬415↺∃⊬1484=∃⊬1484","layer":0}]}
+{"id":626,"expression_no_base_symbol":"⨞⊢$1091$∀⇚≩$2631$","expression":"⨞⊢∃⊬443∀⇚≩∃⊬A47","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7639,"operation_count":2,"complexity_ratio":3819.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1091,"base":16},"right_expr":{"type":"numeric_atoms","value":2631,"base":16}}},"used_operators":["xUOZtlo3hN","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1091","layer":2},{"info":"number node, value=2631","layer":2},{"info":"compute binary expreesion, left_input=1091, right_input=2631, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨞⊢∃⊬443∀⇚≩∃⊬A47=NaN","reverse_text":"NaN=⨞⊢∃⊬443∀⇚≩∃⊬A47","cot":[{"info":"∃⊬443∀⇚≩∃⊬A47=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
+{"id":627,"expression_no_base_symbol":"⨰⫟⨤(∥⊫$5889$)","expression":"⨰⫟⨤(∥⊫∃⊬1701)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26192,"operation_count":2,"complexity_ratio":13096.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5889,"base":16}}},"used_operators":["Tw270M8GLb","P8v4zCKN1o"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5889","layer":2},{"info":"compute unary expreesion, input=5889, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6757","layer":1},{"info":"compute unary expreesion, input=6757, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤(∥⊫∃⊬1701)=NaN","reverse_text":"NaN=⨰⫟⨤(∥⊫∃⊬1701)","cot":[{"info":"∥⊫∃⊬1701=∃⊬1A65","layer":1},{"info":"⨰⫟⨤∃⊬1A65=NaN","layer":0}]}
+{"id":628,"expression_no_base_symbol":"($1270$∧)⩚⊴⇥$3822$≹⇙⪍$8347$","expression":"(∃⊬4F6∧)⩚⊴⇥∃⊬EEE≹⇙⪍∃⊬209B","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":1270,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3822,"base":16},"right_expr":{"type":"numeric_atoms","value":8347,"base":16}}},"used_operators":["NTOWxs364D","z63VuFQld9","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1270","layer":2},{"info":"compute unary expreesion, input=1270, 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=3822","layer":2},{"info":"number node, value=8347","layer":2},{"info":"compute binary expreesion, left_input=3822, right_input=8347, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4F6∧)⩚⊴⇥∃⊬EEE≹⇙⪍∃⊬209B=NaN","reverse_text":"NaN=(∃⊬4F6∧)⩚⊴⇥∃⊬EEE≹⇙⪍∃⊬209B","cot":[{"info":"∃⊬4F6∧=NaN","layer":1},{"info":"∃⊬EEE≹⇙⪍∃⊬209B=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
+{"id":629,"expression_no_base_symbol":"($2491$⊪)⇷($4246$⨽$1940$)","expression":"(∃⊬9BB⊪)⇷(∃⊬1096⨽∃⊬794)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4297,"operation_count":3,"complexity_ratio":1432.3333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2491,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4246,"base":16},"right_expr":{"type":"numeric_atoms","value":1940,"base":16}}},"used_operators":["mp7IySMOzn","zVYPLywUTj","8HhzD0ZcuI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2491","layer":2},{"info":"compute unary expreesion, input=2491, 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=4246","layer":2},{"info":"number node, value=1940","layer":2},{"info":"compute binary expreesion, left_input=4246, right_input=1940, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-54090054","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-54090054, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬9BB⊪)⇷(∃⊬1096⨽∃⊬794)=∃⊬0","reverse_text":"∃⊬0=(∃⊬9BB⊪)⇷(∃⊬1096⨽∃⊬794)","cot":[{"info":"∃⊬9BB⊪=∃⊬0","layer":1},{"info":"∃⊬1096⨽∃⊬794=∃⊬-3395946","layer":1},{"info":"∃⊬0⇷∃⊬-3395946=∃⊬0","layer":0}]}
+{"id":630,"expression_no_base_symbol":"($3097$*$1202$)⨐⩸⫘$1660$∀⇚≩$1596$","expression":"(∃⊬C19*∃⊬4B2)⨐⩸⫘∃⊬67C∀⇚≩∃⊬63C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12823,"operation_count":3,"complexity_ratio":4274.333333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3097,"base":16},"right_expr":{"type":"numeric_atoms","value":1202,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1660,"base":16},"right_expr":{"type":"numeric_atoms","value":1596,"base":16}}},"used_operators":["fu6greOZ01","9HNa5Wba9A","LRNGc0VcxI"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3097","layer":2},{"info":"number node, value=1202","layer":2},{"info":"compute binary expreesion, left_input=3097, right_input=1202, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3722594","layer":1},{"info":"number node, value=1660","layer":2},{"info":"number node, value=1596","layer":2},{"info":"compute binary expreesion, left_input=1660, right_input=1596, 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=3722594, 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":16,"result_base":16,"text":"(∃⊬C19*∃⊬4B2)⨐⩸⫘∃⊬67C∀⇚≩∃⊬63C=NaN","reverse_text":"NaN=(∃⊬C19*∃⊬4B2)⨐⩸⫘∃⊬67C∀⇚≩∃⊬63C","cot":[{"info":"∃⊬C19*∃⊬4B2=∃⊬38CD62","layer":1},{"info":"∃⊬67C∀⇚≩∃⊬63C=NaN","layer":1},{"info":"∃⊬38CD62⨐⩸⫘NaN=NaN","layer":0}]}
+{"id":631,"expression_no_base_symbol":"($2489$⪠⩆⊳)⊉≛↸($1163$⩠)","expression":"(∃⊬9B9⪠⩆⊳)⊉≛↸(∃⊬48B⩠)","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":2489,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1163,"base":16}}},"used_operators":["DZ8iAZOCBD","JLbD19bQDL","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2489","layer":2},{"info":"compute unary expreesion, input=2489, 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=1163","layer":2},{"info":"compute unary expreesion, input=1163, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬9B9⪠⩆⊳)⊉≛↸(∃⊬48B⩠)=∃⊬0","reverse_text":"∃⊬0=(∃⊬9B9⪠⩆⊳)⊉≛↸(∃⊬48B⩠)","cot":[{"info":"∃⊬9B9⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬48B⩠=∃⊬0","layer":1},{"info":"∃⊬0⊉≛↸∃⊬0=∃⊬0","layer":0}]}
+{"id":632,"expression_no_base_symbol":"($5022$⪒$2940$)∧","expression":"(∃⊬139E⪒∃⊬B7C)∧","highest_n_order":5,"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":5022,"base":16},"right_expr":{"type":"numeric_atoms","value":2940,"base":16}}},"used_operators":["z63VuFQld9","f6k1SAg4EE"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5022","layer":2},{"info":"number node, value=2940","layer":2},{"info":"compute binary expreesion, left_input=5022, right_input=2940, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7962","layer":1},{"info":"compute unary expreesion, input=-7962, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬139E⪒∃⊬B7C)∧=∃⊬0","reverse_text":"∃⊬0=(∃⊬139E⪒∃⊬B7C)∧","cot":[{"info":"∃⊬139E⪒∃⊬B7C=∃⊬-1F1A","layer":1},{"info":"∃⊬-1F1A∧=∃⊬0","layer":0}]}
+{"id":633,"expression_no_base_symbol":"(≤/$8666$)⨐⩸⫘(⊙↵-$1783$)","expression":"(≤/∃⊬21DA)⨐⩸⫘(⊙↵-∃⊬6F7)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1837,"operation_count":3,"complexity_ratio":612.3333333333334,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":8666,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1783,"base":16}}},"used_operators":["fu6greOZ01","eLAdDNolq6","oWn0xqSxBt"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8666","layer":2},{"info":"compute unary expreesion, input=8666, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-8182","layer":1},{"info":"number node, value=1783","layer":2},{"info":"compute unary expreesion, input=1783, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-8182, right_input=-1, 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=4","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬21DA)⨐⩸⫘(⊙↵-∃⊬6F7)=∃⊬4","reverse_text":"∃⊬4=(≤/∃⊬21DA)⨐⩸⫘(⊙↵-∃⊬6F7)","cot":[{"info":"≤/∃⊬21DA=∃⊬-1FF6","layer":1},{"info":"⊙↵-∃⊬6F7=∃⊬-1","layer":1},{"info":"∃⊬-1FF6⨐⩸⫘∃⊬-1=∃⊬4","layer":0}]}
+{"id":634,"expression_no_base_symbol":"$3274$⋝⋈⪟$2956$≭(⊄⩳↩$2304$)","expression":"∃⊬CCA⋝⋈⪟∃⊬B8C≭(⊄⩳↩∃⊬900)","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":3274,"base":16},"right_expr":{"type":"numeric_atoms","value":2956,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2304,"base":16}}},"used_operators":["rxpJgHHUmx","2DDjHMKMc0","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3274","layer":2},{"info":"number node, value=2956","layer":2},{"info":"compute binary expreesion, left_input=3274, right_input=2956, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3274","layer":1},{"info":"number node, value=2304","layer":2},{"info":"compute unary expreesion, input=2304, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6912","layer":1},{"info":"compute binary expreesion, left_input=3274, right_input=-6912, 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":16,"result_base":16,"text":"∃⊬CCA⋝⋈⪟∃⊬B8C≭(⊄⩳↩∃⊬900)=NaN","reverse_text":"NaN=∃⊬CCA⋝⋈⪟∃⊬B8C≭(⊄⩳↩∃⊬900)","cot":[{"info":"∃⊬CCA⋝⋈⪟∃⊬B8C=∃⊬CCA","layer":1},{"info":"⊄⩳↩∃⊬900=∃⊬-1B00","layer":1},{"info":"∃⊬CCA≭∃⊬-1B00=NaN","layer":0}]}
+{"id":635,"expression_no_base_symbol":"($8044$⊭↱$1346$)∼($9407$+$2022$)","expression":"(∃⊬1F6C⊭↱∃⊬542)∼(∃⊬24BF+∃⊬7E6)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":271,"operation_count":3,"complexity_ratio":90.33333333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8044,"base":16},"right_expr":{"type":"numeric_atoms","value":1346,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":9407,"base":16},"right_expr":{"type":"numeric_atoms","value":2022,"base":16}}},"used_operators":["DyGG3AbaNP","COABgblf1C","W4YGzv6Whe"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8044","layer":2},{"info":"number node, value=1346","layer":2},{"info":"compute binary expreesion, left_input=8044, right_input=1346, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-13391","layer":1},{"info":"number node, value=9407","layer":2},{"info":"number node, value=2022","layer":2},{"info":"compute binary expreesion, left_input=9407, right_input=2022, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11429","layer":1},{"info":"compute binary expreesion, left_input=-13391, right_input=11429, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1F6C⊭↱∃⊬542)∼(∃⊬24BF+∃⊬7E6)=NaN","reverse_text":"NaN=(∃⊬1F6C⊭↱∃⊬542)∼(∃⊬24BF+∃⊬7E6)","cot":[{"info":"∃⊬1F6C⊭↱∃⊬542=∃⊬-344F","layer":1},{"info":"∃⊬24BF+∃⊬7E6=∃⊬2CA5","layer":1},{"info":"∃⊬-344F∼∃⊬2CA5=NaN","layer":0}]}
+{"id":636,"expression_no_base_symbol":"(≦∁$2663$)⩷∴$4475$⇷$5905$","expression":"(≦∁∃⊬A67)⩷∴∃⊬117B⇷∃⊬1711","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62663,"operation_count":3,"complexity_ratio":20887.666666666668,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2663,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4475,"base":16},"right_expr":{"type":"numeric_atoms","value":5905,"base":16}}},"used_operators":["9FxExcQeMw","9ICcGScMcE","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬-4796","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2663","layer":2},{"info":"compute unary expreesion, input=2663, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2663","layer":1},{"info":"number node, value=4475","layer":2},{"info":"number node, value=5905","layer":2},{"info":"compute binary expreesion, left_input=4475, right_input=5905, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11810","layer":1},{"info":"compute binary expreesion, left_input=2663, right_input=11810, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-18326","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬A67)⩷∴∃⊬117B⇷∃⊬1711=∃⊬-4796","reverse_text":"∃⊬-4796=(≦∁∃⊬A67)⩷∴∃⊬117B⇷∃⊬1711","cot":[{"info":"≦∁∃⊬A67=∃⊬A67","layer":1},{"info":"∃⊬117B⇷∃⊬1711=∃⊬2E22","layer":1},{"info":"∃⊬A67⩷∴∃⊬2E22=∃⊬-4796","layer":0}]}
+{"id":637,"expression_no_base_symbol":"-$1847$⪢$4972$","expression":"-∃⊬737⪢∃⊬136C","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4973,"operation_count":2,"complexity_ratio":2486.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1847,"base":16},"right_expr":{"type":"numeric_atoms","value":4972,"base":16}}},"used_operators":["t8gj7n24qd","dWAJyo7jo9"],"dependent_operators":["k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1847","layer":2},{"info":"number node, value=4972","layer":2},{"info":"compute binary expreesion, left_input=1847, right_input=4972, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"-∃⊬737⪢∃⊬136C=NaN","reverse_text":"NaN=-∃⊬737⪢∃⊬136C","cot":[{"info":"∃⊬737⪢∃⊬136C=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
+{"id":638,"expression_no_base_symbol":"(↣≠⋷$3310$)⋫","expression":"(↣≠⋷∃⊬CEE)⋫","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":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3310,"base":16}}},"used_operators":["JL8yIekQnl","Asc51vEJeQ"],"dependent_operators":["tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3310","layer":2},{"info":"compute unary expreesion, input=3310, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷∃⊬CEE)⋫=NaN","reverse_text":"NaN=(↣≠⋷∃⊬CEE)⋫","cot":[{"info":"↣≠⋷∃⊬CEE=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
+{"id":639,"expression_no_base_symbol":"(⩦⩻⨪$5820$)≫≃","expression":"(⩦⩻⨪∃⊬16BC)≫≃","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":5820,"base":16}}},"used_operators":["X99M06cbEe","2td37pGCOC"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬32F1","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5820","layer":2},{"info":"compute unary expreesion, input=5820, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5820","layer":1},{"info":"compute unary expreesion, input=5820, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13041","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪∃⊬16BC)≫≃=∃⊬32F1","reverse_text":"∃⊬32F1=(⩦⩻⨪∃⊬16BC)≫≃","cot":[{"info":"⩦⩻⨪∃⊬16BC=∃⊬16BC","layer":1},{"info":"∃⊬16BC≫≃=∃⊬32F1","layer":0}]}
+{"id":640,"expression_no_base_symbol":"⨰⫟⨤(↔$3366$)","expression":"⨰⫟⨤(↔∃⊬D26)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13271,"operation_count":2,"complexity_ratio":6635.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3366,"base":16}}},"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":16,"flag":true},"cot_info":[{"info":"number node, value=3366","layer":2},{"info":"compute unary expreesion, input=3366, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3093","layer":1},{"info":"compute unary expreesion, input=-3093, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"��⫟⨤(↔∃⊬D26)=NaN","reverse_text":"NaN=⨰⫟⨤(↔∃⊬D26)","cot":[{"info":"↔∃⊬D26=∃⊬-C15","layer":1},{"info":"⨰⫟⨤∃⊬-C15=NaN","layer":0}]}
+{"id":641,"expression_no_base_symbol":"≉$3818$⨓$1537$","expression":"≉∃⊬EEA⨓∃⊬601","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1544,"operation_count":2,"complexity_ratio":772.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3818,"base":16},"right_expr":{"type":"numeric_atoms","value":1537,"base":16}}},"used_operators":["e1ybzncUwg","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬-604","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3818","layer":2},{"info":"number node, value=1537","layer":2},{"info":"compute binary expreesion, left_input=3818, right_input=1537, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1540","layer":1},{"info":"compute unary expreesion, input=-1540, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-1540","layer":0}],"base":16,"result_base":16,"text":"≉∃⊬EEA⨓∃⊬601=∃⊬-604","reverse_text":"∃⊬-604=≉∃⊬EEA⨓∃⊬601","cot":[{"info":"∃⊬EEA⨓∃⊬601=∃⊬-604","layer":1},{"info":"≉∃⊬-604=∃⊬-604","layer":0}]}
+{"id":642,"expression_no_base_symbol":"(⨑⩽⪐$3962$)⨽(⪲⇎$4691$)","expression":"(⨑⩽⪐∃⊬F7A)⨽(⪲⇎∃⊬1253)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":3704,"operation_count":3,"complexity_ratio":1234.6666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3962,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4691,"base":16}}},"used_operators":["8HhzD0ZcuI","AF7qkfDlqP","XPYlsWDdGa"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-26F5E03","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3962","layer":2},{"info":"compute unary expreesion, input=3962, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3689","layer":1},{"info":"number node, value=4691","layer":2},{"info":"compute unary expreesion, input=4691, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9382","layer":1},{"info":"compute binary expreesion, left_input=-3689, right_input=9382, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-40852995","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐∃⊬F7A)⨽(⪲⇎∃⊬1253)=∃⊬-26F5E03","reverse_text":"∃⊬-26F5E03=(⨑⩽⪐∃⊬F7A)⨽(⪲⇎∃⊬1253)","cot":[{"info":"⨑⩽⪐∃⊬F7A=∃⊬-E69","layer":1},{"info":"⪲⇎∃⊬1253=∃⊬24A6","layer":1},{"info":"∃⊬-E69⨽∃⊬24A6=∃⊬-26F5E03","layer":0}]}
+{"id":643,"expression_no_base_symbol":"$1939$≧⫂∧$1800$⊭↱(↯⪼$3021$)","expression":"∃⊬793≧⫂∧∃⊬708⊭↱(↯⪼∃⊬BCD)","highest_n_order":2,"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":1939,"base":16},"right_expr":{"type":"numeric_atoms","value":1800,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3021,"base":16}}},"used_operators":["COABgblf1C","Ph9nP6C5qx","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬-A83","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1939","layer":2},{"info":"number node, value=1800","layer":2},{"info":"compute binary expreesion, left_input=1939, right_input=1800, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1327","layer":1},{"info":"number node, value=3021","layer":2},{"info":"compute unary expreesion, input=3021, 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=1327, right_input=-21, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2691","layer":0}],"base":16,"result_base":16,"text":"∃⊬793≧⫂∧∃⊬708⊭↱(↯⪼∃⊬BCD)=∃⊬-A83","reverse_text":"∃⊬-A83=∃⊬793≧⫂∧∃⊬708⊭↱(↯⪼∃⊬BCD)","cot":[{"info":"∃⊬793≧⫂∧∃⊬708=∃⊬52F","layer":1},{"info":"↯⪼∃⊬BCD=∃⊬-15","layer":1},{"info":"∃⊬52F⊭↱∃⊬-15=∃⊬-A83","layer":0}]}
+{"id":644,"expression_no_base_symbol":"($5281$⇼⇔∾$1700$)↺$4512$∑⇟⊟$5962$","expression":"(∃⊬14A1⇼⇔∾∃⊬6A4)↺∃⊬11A0∑⇟⊟∃⊬174A","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":5281,"base":16},"right_expr":{"type":"numeric_atoms","value":1700,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4512,"base":16},"right_expr":{"type":"numeric_atoms","value":5962,"base":16}}},"used_operators":["7j4O788W3g","tifHPKVTfV","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5281","layer":2},{"info":"number node, value=1700","layer":2},{"info":"compute binary expreesion, left_input=5281, right_input=1700, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3581","layer":1},{"info":"number node, value=4512","layer":2},{"info":"number node, value=5962","layer":2},{"info":"compute binary expreesion, left_input=4512, right_input=5962, 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=-3581, 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":16,"result_base":16,"text":"(∃⊬14A1⇼⇔∾∃⊬6A4)↺∃⊬11A0∑⇟⊟∃⊬174A=NaN","reverse_text":"NaN=(∃⊬14A1⇼⇔∾∃⊬6A4)↺∃⊬11A0∑⇟⊟∃⊬174A","cot":[{"info":"∃⊬14A1⇼⇔∾∃⊬6A4=∃⊬-DFD","layer":1},{"info":"∃⊬11A0∑⇟⊟∃⊬174A=NaN","layer":1},{"info":"∃⊬-DFD↺NaN=NaN","layer":0}]}
+{"id":645,"expression_no_base_symbol":"($5820$⨁⊸⫻)↺(⊙↵-$1338$)","expression":"(∃⊬16BC⨁⊸⫻)↺(⊙↵-∃⊬53A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1387,"operation_count":3,"complexity_ratio":462.3333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5820,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1338,"base":16}}},"used_operators":["7j4O788W3g","glklzrTFfD","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5820","layer":2},{"info":"compute unary expreesion, input=5820, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5820","layer":1},{"info":"number node, value=1338","layer":2},{"info":"compute unary expreesion, input=1338, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=5820, right_input=-1, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1","layer":0}],"base":16,"result_base":16,"text":"(∃⊬16BC⨁⊸⫻)↺(⊙↵-∃⊬53A)=∃⊬-1","reverse_text":"∃⊬-1=(∃⊬16BC⨁⊸⫻)↺(⊙↵-∃⊬53A)","cot":[{"info":"∃⊬16BC⨁⊸⫻=∃⊬16BC","layer":1},{"info":"⊙↵-∃⊬53A=∃⊬-1","layer":1},{"info":"∃⊬16BC↺∃⊬-1=∃⊬-1","layer":0}]}
+{"id":646,"expression_no_base_symbol":"$6233$⨎$3985$+($3680$≫≃)","expression":"∃⊬1859⨎∃⊬F91+(∃⊬E60≫≃)","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":6233,"base":16},"right_expr":{"type":"numeric_atoms","value":3985,"base":16}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3680,"base":16}}},"used_operators":["W4YGzv6Whe","rJVOvQCfKK","X99M06cbEe"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"∃⊬31CA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6233","layer":2},{"info":"number node, value=3985","layer":2},{"info":"compute binary expreesion, left_input=6233, right_input=3985, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3985","layer":1},{"info":"number node, value=3680","layer":2},{"info":"compute unary expreesion, input=3680, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8761","layer":1},{"info":"compute binary expreesion, left_input=3985, right_input=8761, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12746","layer":0}],"base":16,"result_base":16,"text":"∃⊬1859⨎∃⊬F91+(∃⊬E60≫≃)=∃⊬31CA","reverse_text":"∃⊬31CA=∃⊬1859⨎∃⊬F91+(∃⊬E60≫≃)","cot":[{"info":"∃⊬1859⨎∃⊬F91=∃⊬F91","layer":1},{"info":"∃⊬E60≫≃=∃⊬2239","layer":1},{"info":"∃⊬F91+∃⊬2239=∃⊬31CA","layer":0}]}
+{"id":647,"expression_no_base_symbol":"$2343$⇷$4168$∲⫓$6730$≹⇙⪍$4112$","expression":"∃⊬927⇷∃⊬1048∲⫓∃⊬1A4A≹⇙⪍∃⊬1010","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32811,"operation_count":3,"complexity_ratio":10937.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2343,"base":16},"right_expr":{"type":"numeric_atoms","value":4168,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6730,"base":16},"right_expr":{"type":"numeric_atoms","value":4112,"base":16}}},"used_operators":["i8ToyICDmI","mp7IySMOzn","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2343","layer":2},{"info":"number node, value=4168","layer":2},{"info":"compute binary expreesion, left_input=2343, right_input=4168, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8336","layer":1},{"info":"number node, value=6730","layer":2},{"info":"number node, value=4112","layer":2},{"info":"compute binary expreesion, left_input=6730, right_input=4112, 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=8336, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬927⇷∃⊬1048∲⫓∃⊬1A4A≹⇙⪍∃⊬1010=NaN","reverse_text":"NaN=∃⊬927⇷∃⊬1048∲⫓∃⊬1A4A≹⇙⪍∃⊬1010","cot":[{"info":"∃⊬927⇷∃⊬1048=∃⊬2090","layer":1},{"info":"∃⊬1A4A≹⇙⪍∃⊬1010=NaN","layer":1},{"info":"∃⊬2090∲⫓NaN=NaN","layer":0}]}
+{"id":648,"expression_no_base_symbol":"(+⊝⨔$4034$)≦≮≮","expression":"(+⊝⨔∃⊬FC2)≦≮≮","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":4034,"base":16}}},"used_operators":["D4vGDi5EA2","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬-11D6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4034","layer":2},{"info":"compute unary expreesion, input=4034, 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":16,"result_base":16,"text":"(+⊝⨔∃⊬FC2)≦≮≮=∃⊬-11D6","reverse_text":"∃⊬-11D6=(+⊝⨔∃⊬FC2)≦≮≮","cot":[{"info":"+⊝⨔∃⊬FC2=∃⊬5F2","layer":1},{"info":"∃⊬5F2≦≮≮=∃⊬-11D6","layer":0}]}
+{"id":649,"expression_no_base_symbol":"(↽≂$2007$)⨵⪆$1209$⋥≓≎$1182$","expression":"(↽≂∃⊬7D7)⨵⪆∃⊬4B9⋥≓≎∃⊬49E","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":2007,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1209,"base":16},"right_expr":{"type":"numeric_atoms","value":1182,"base":16}}},"used_operators":["2DQ55sFlQl","u6S6b8DprG","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2007","layer":2},{"info":"compute unary expreesion, input=2007, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4014","layer":1},{"info":"number node, value=1209","layer":2},{"info":"number node, value=1182","layer":2},{"info":"compute binary expreesion, left_input=1209, right_input=1182, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1188","layer":1},{"info":"compute binary expreesion, left_input=-4014, right_input=1188, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(↽≂∃⊬7D7)⨵⪆∃⊬4B9⋥≓≎∃⊬49E=∃⊬A0","reverse_text":"∃⊬A0=(↽≂∃⊬7D7)⨵⪆∃⊬4B9⋥≓≎∃⊬49E","cot":[{"info":"↽≂∃⊬7D7=∃⊬-FAE","layer":1},{"info":"∃⊬4B9⋥≓≎∃⊬49E=∃⊬4A4","layer":1},{"info":"∃⊬-FAE⨵⪆∃⊬4A4=∃⊬A0","layer":0}]}
+{"id":650,"expression_no_base_symbol":"∂($3201$⋳⪒$3044$)","expression":"∂(∃⊬C81⋳⪒∃⊬BE4)","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":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3201,"base":16},"right_expr":{"type":"numeric_atoms","value":3044,"base":16}}},"used_operators":["Uaa54Peajs","12rbrZMWeM"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3201","layer":2},{"info":"number node, value=3044","layer":2},{"info":"compute binary expreesion, left_input=3201, right_input=3044, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3071","layer":1},{"info":"compute unary expreesion, input=3071, 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":16,"result_base":16,"text":"∂(∃⊬C81⋳⪒∃⊬BE4)=NaN","reverse_text":"NaN=∂(∃⊬C81⋳⪒∃⊬BE4)","cot":[{"info":"∃⊬C81⋳⪒∃⊬BE4=∃⊬BFF","layer":1},{"info":"∂∃⊬BFF=NaN","layer":0}]}
+{"id":651,"expression_no_base_symbol":"($4286$⪘⫢$1944$)⊴($6377$⊉≛↸$1144$)","expression":"(∃⊬10BE⪘⫢∃⊬798)⊴(∃⊬18E9⊉≛↸∃⊬478)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12777,"operation_count":3,"complexity_ratio":4259.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4286,"base":16},"right_expr":{"type":"numeric_atoms","value":1944,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6377,"base":16},"right_expr":{"type":"numeric_atoms","value":1144,"base":16}}},"used_operators":["Nsiff2A1zJ","oacrs7FA3X","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4286","layer":2},{"info":"number node, value=1944","layer":2},{"info":"compute binary expreesion, left_input=4286, right_input=1944, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8448","layer":1},{"info":"number node, value=6377","layer":2},{"info":"number node, value=1144","layer":2},{"info":"compute binary expreesion, left_input=6377, right_input=1144, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12754","layer":1},{"info":"compute binary expreesion, left_input=8448, right_input=12754, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬10BE⪘⫢∃⊬798)⊴(∃⊬18E9⊉≛↸∃⊬478)=NaN","reverse_text":"NaN=(∃⊬10BE⪘⫢∃⊬798)⊴(∃⊬18E9⊉≛↸∃⊬478)","cot":[{"info":"∃⊬10BE⪘⫢∃⊬798=∃⊬2100","layer":1},{"info":"∃⊬18E9⊉≛↸∃⊬478=∃⊬31D2","layer":1},{"info":"∃⊬2100⊴∃⊬31D2=NaN","layer":0}]}
+{"id":652,"expression_no_base_symbol":"$1810$⪛$5936$⨎($4071$⨐⩸⫘$1496$)","expression":"∃⊬712⪛∃⊬1730⨎(∃⊬FE7⨐⩸⫘∃⊬5D8)","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":1810,"base":16},"right_expr":{"type":"numeric_atoms","value":5936,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4071,"base":16},"right_expr":{"type":"numeric_atoms","value":1496,"base":16}}},"used_operators":["rJVOvQCfKK","uFcxV4UQCh","fu6greOZ01"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1810","layer":2},{"info":"number node, value=5936","layer":2},{"info":"compute binary expreesion, left_input=1810, right_input=5936, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1810","layer":1},{"info":"number node, value=4071","layer":2},{"info":"number node, value=1496","layer":2},{"info":"compute binary expreesion, left_input=4071, right_input=1496, 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=1810, 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":16,"result_base":16,"text":"∃⊬712⪛∃⊬1730⨎(∃⊬FE7⨐⩸⫘∃⊬5D8)=NaN","reverse_text":"NaN=∃⊬712⪛∃⊬1730⨎(∃⊬FE7⨐⩸⫘∃⊬5D8)","cot":[{"info":"∃⊬712⪛∃⊬1730=∃⊬712","layer":1},{"info":"∃⊬FE7⨐⩸⫘∃⊬5D8=NaN","layer":1},{"info":"∃⊬712⨎NaN=NaN","layer":0}]}
+{"id":653,"expression_no_base_symbol":"$2565$⇷$3093$*($3673$%$1480$)","expression":"∃⊬A05⇷∃⊬C15*(∃⊬E59%∃⊬5C8)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36631,"operation_count":3,"complexity_ratio":12210.333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2565,"base":16},"right_expr":{"type":"numeric_atoms","value":3093,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3673,"base":16},"right_expr":{"type":"numeric_atoms","value":1480,"base":16}}},"used_operators":["9HNa5Wba9A","mp7IySMOzn","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬434CFA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2565","layer":2},{"info":"number node, value=3093","layer":2},{"info":"compute binary expreesion, left_input=2565, right_input=3093, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6186","layer":1},{"info":"number node, value=3673","layer":2},{"info":"number node, value=1480","layer":2},{"info":"compute binary expreesion, left_input=3673, right_input=1480, op_id = k8jYdgA6NY binary_op_definition= 'None', output=713","layer":1},{"info":"compute binary expreesion, left_input=6186, right_input=713, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4410618","layer":0}],"base":16,"result_base":16,"text":"∃⊬A05⇷∃⊬C15*(∃⊬E59%∃⊬5C8)=∃⊬434CFA","reverse_text":"∃⊬434CFA=∃⊬A05⇷∃⊬C15*(∃⊬E59%∃⊬5C8)","cot":[{"info":"∃⊬A05⇷∃⊬C15=∃⊬182A","layer":1},{"info":"∃⊬E59%∃⊬5C8=∃⊬2C9","layer":1},{"info":"∃⊬182A*∃⊬2C9=∃⊬434CFA","layer":0}]}
+{"id":654,"expression_no_base_symbol":"⨞⊢($6529$⪒$1659$)","expression":"⨞⊢(∃⊬1981⪒∃⊬67B)","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":6529,"base":16},"right_expr":{"type":"numeric_atoms","value":1659,"base":16}}},"used_operators":["xUOZtlo3hN","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1F4E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6529","layer":2},{"info":"number node, value=1659","layer":2},{"info":"compute binary expreesion, left_input=6529, right_input=1659, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8188","layer":1},{"info":"compute unary expreesion, input=-8188, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=8014","layer":0}],"base":16,"result_base":16,"text":"⨞⊢(∃⊬1981⪒∃⊬67B)=∃⊬1F4E","reverse_text":"∃⊬1F4E=⨞⊢(∃⊬1981⪒∃⊬67B)","cot":[{"info":"∃⊬1981⪒∃⊬67B=∃⊬-1FFC","layer":1},{"info":"⨞⊢∃⊬-1FFC=∃⊬1F4E","layer":0}]}
+{"id":655,"expression_no_base_symbol":"↣≠⋷($2821$-$4771$)","expression":"↣≠⋷(∃⊬B05-∃⊬12A3)","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":2821,"base":16},"right_expr":{"type":"numeric_atoms","value":4771,"base":16}}},"used_operators":["Asc51vEJeQ","rysDP5nf3Z"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2821","layer":2},{"info":"number node, value=4771","layer":2},{"info":"compute binary expreesion, left_input=2821, right_input=4771, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1950","layer":1},{"info":"compute unary expreesion, input=-1950, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷(∃⊬B05-∃⊬12A3)=NaN","reverse_text":"NaN=↣≠⋷(∃⊬B05-∃⊬12A3)","cot":[{"info":"∃⊬B05-∃⊬12A3=∃⊬-79E","layer":1},{"info":"↣≠⋷∃⊬-79E=NaN","layer":0}]}
+{"id":656,"expression_no_base_symbol":"⨈⫕$6234$⫥∨⫟$9032$","expression":"⨈⫕∃⊬185A⫥∨⫟∃⊬2348","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":540,"operation_count":2,"complexity_ratio":270.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6234,"base":16},"right_expr":{"type":"numeric_atoms","value":9032,"base":16}}},"used_operators":["megm06wKyl","KYD54nUTWz"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8HhzD0ZcuI","rGHVDoGpnC"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6234","layer":2},{"info":"number node, value=9032","layer":2},{"info":"compute binary expreesion, left_input=6234, right_input=9032, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":16,"result_base":16,"text":"⨈⫕∃⊬185A⫥∨⫟∃⊬2348=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕∃⊬185A⫥∨⫟∃⊬2348","cot":[{"info":"∃⊬185A⫥∨⫟∃⊬2348=NaN","layer":1},{"info":"⨈⫕NaN=∃⊬-15","layer":0}]}
+{"id":657,"expression_no_base_symbol":"(≉$3834$)≎⊠⪸$3405$⋝⋈⪟$4868$","expression":"(≉∃⊬EFA)≎⊠⪸∃⊬D4D⋝⋈⪟∃⊬1304","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":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3834,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3405,"base":16},"right_expr":{"type":"numeric_atoms","value":4868,"base":16}}},"used_operators":["bJkvcejdHO","e1ybzncUwg","2DDjHMKMc0"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬113E4E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3834","layer":2},{"info":"compute unary expreesion, input=3834, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4365","layer":1},{"info":"number node, value=3405","layer":2},{"info":"number node, value=4868","layer":2},{"info":"compute binary expreesion, left_input=3405, right_input=4868, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3405","layer":1},{"info":"compute binary expreesion, left_input=4365, right_input=3405, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1130062","layer":0}],"base":16,"result_base":16,"text":"(≉∃⊬EFA)≎⊠⪸∃⊬D4D⋝⋈⪟∃⊬1304=∃⊬113E4E","reverse_text":"∃⊬113E4E=(≉∃⊬EFA)≎⊠⪸∃⊬D4D⋝⋈⪟∃⊬1304","cot":[{"info":"≉∃⊬EFA=∃⊬110D","layer":1},{"info":"∃⊬D4D⋝⋈⪟∃⊬1304=∃⊬D4D","layer":1},{"info":"∃⊬110D≎⊠⪸∃⊬D4D=∃⊬113E4E","layer":0}]}
+{"id":658,"expression_no_base_symbol":"$1575$⊉≛↸$6100$+($1085$⋷$4738$)","expression":"∃⊬627⊉≛↸∃⊬17D4+(∃⊬43D⋷∃⊬1282)","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":1575,"base":16},"right_expr":{"type":"numeric_atoms","value":6100,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1085,"base":16},"right_expr":{"type":"numeric_atoms","value":4738,"base":16}}},"used_operators":["W4YGzv6Whe","DZ8iAZOCBD","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬2D15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1575","layer":2},{"info":"number node, value=6100","layer":2},{"info":"compute binary expreesion, left_input=1575, right_input=6100, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3150","layer":1},{"info":"number node, value=1085","layer":2},{"info":"number node, value=4738","layer":2},{"info":"compute binary expreesion, left_input=1085, right_input=4738, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8391","layer":1},{"info":"compute binary expreesion, left_input=3150, right_input=8391, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11541","layer":0}],"base":16,"result_base":16,"text":"∃⊬627⊉≛↸∃⊬17D4+(∃⊬43D⋷∃⊬1282)=∃⊬2D15","reverse_text":"∃⊬2D15=∃⊬627⊉≛↸∃⊬17D4+(∃⊬43D⋷∃⊬1282)","cot":[{"info":"∃⊬627⊉≛↸∃⊬17D4=∃⊬C4E","layer":1},{"info":"∃⊬43D⋷∃⊬1282=∃⊬20C7","layer":1},{"info":"∃⊬C4E+∃⊬20C7=∃⊬2D15","layer":0}]}
+{"id":659,"expression_no_base_symbol":"($3716$↙$5133$)≫≃","expression":"(∃⊬E84↙∃⊬140D)≫≃","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5143,"operation_count":2,"complexity_ratio":2571.5,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3716,"base":16},"right_expr":{"type":"numeric_atoms","value":5133,"base":16}}},"used_operators":["X99M06cbEe","yyfyN0ffXY"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬-72D5","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3716","layer":2},{"info":"number node, value=5133","layer":2},{"info":"compute binary expreesion, left_input=3716, right_input=5133, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15399","layer":1},{"info":"compute unary expreesion, input=-15399, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-29397","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E84↙∃⊬140D)≫≃=∃⊬-72D5","reverse_text":"∃⊬-72D5=(∃⊬E84↙∃⊬140D)≫≃","cot":[{"info":"∃⊬E84↙∃⊬140D=∃⊬-3C27","layer":1},{"info":"∃⊬-3C27≫≃=∃⊬-72D5","layer":0}]}
+{"id":660,"expression_no_base_symbol":"(⨰⫟⨤$3192$)⊘","expression":"(⨰⫟⨤∃⊬C78)⊘","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11949,"operation_count":2,"complexity_ratio":5974.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3192,"base":16}}},"used_operators":["gu96TGCTMs","Tw270M8GLb"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3192","layer":2},{"info":"compute unary expreesion, input=3192, 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 = 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":16,"result_base":16,"text":"(⨰⫟⨤∃⊬C78)⊘=NaN","reverse_text":"NaN=(⨰⫟⨤∃⊬C78)⊘","cot":[{"info":"⨰⫟⨤∃⊬C78=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
+{"id":661,"expression_no_base_symbol":"($3919$⊠≄⫣)⨓$2872$≹⇙⪍$4434$","expression":"(∃⊬F4F⊠≄⫣)⨓∃⊬B38≹⇙⪍∃⊬1152","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":3919,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2872,"base":16},"right_expr":{"type":"numeric_atoms","value":4434,"base":16}}},"used_operators":["3ViojmjbAp","DIvbN7qnHd","AHs5Up7iyr"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3919","layer":2},{"info":"compute unary expreesion, input=3919, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2872","layer":2},{"info":"number node, value=4434","layer":2},{"info":"compute binary expreesion, left_input=2872, right_input=4434, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F4F⊠≄⫣)⨓∃⊬B38≹⇙⪍∃⊬1152=NaN","reverse_text":"NaN=(∃⊬F4F⊠≄⫣)⨓∃⊬B38≹⇙⪍∃⊬1152","cot":[{"info":"∃⊬F4F⊠≄⫣=∃⊬0","layer":1},{"info":"∃⊬B38≹⇙⪍∃⊬1152=NaN","layer":1},{"info":"∃⊬0⨓NaN=NaN","layer":0}]}
+{"id":662,"expression_no_base_symbol":"(≦∁$8095$)/($1156$≦≮≮)","expression":"(≦∁∃⊬1F9F)/(∃⊬484≦≮≮)","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":8095,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1156,"base":16}}},"used_operators":["XhwjNDsVaA","9ICcGScMcE","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8095","layer":2},{"info":"compute unary expreesion, input=8095, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8095","layer":1},{"info":"number node, value=1156","layer":2},{"info":"compute unary expreesion, input=1156, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3468","layer":1},{"info":"compute binary expreesion, left_input=8095, right_input=-3468, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬1F9F)/(∃⊬484≦≮≮)=∃⊬-3","reverse_text":"∃⊬-3=(≦∁∃⊬1F9F)/(∃⊬484≦≮≮)","cot":[{"info":"≦∁∃⊬1F9F=∃⊬1F9F","layer":1},{"info":"∃⊬484≦≮≮=∃⊬-D8C","layer":1},{"info":"∃⊬1F9F/∃⊬-D8C=∃⊬-3","layer":0}]}
+{"id":663,"expression_no_base_symbol":"(⊥$2487$)⪢($1034$⋳⪒$3471$)","expression":"(⊥∃⊬9B7)⪢(∃⊬40A⋳⪒∃⊬D8F)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1698,"operation_count":3,"complexity_ratio":566.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2487,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1034,"base":16},"right_expr":{"type":"numeric_atoms","value":3471,"base":16}}},"used_operators":["dWAJyo7jo9","Q3PJZHRvZv","12rbrZMWeM"],"dependent_operators":["k8jYdgA6NY","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2487","layer":2},{"info":"compute unary expreesion, input=2487, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=1034","layer":2},{"info":"number node, value=3471","layer":2},{"info":"compute binary expreesion, left_input=1034, right_input=3471, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1690","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1690, 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":16,"result_base":16,"text":"(⊥∃⊬9B7)⪢(∃⊬40A⋳⪒∃⊬D8F)=NaN","reverse_text":"NaN=(⊥∃⊬9B7)⪢(∃⊬40A⋳⪒∃⊬D8F)","cot":[{"info":"⊥∃⊬9B7=NaN","layer":1},{"info":"∃⊬40A⋳⪒∃⊬D8F=∃⊬-69A","layer":1},{"info":"NaN⪢∃⊬-69A=NaN","layer":0}]}
+{"id":664,"expression_no_base_symbol":"(+⊝⨔$6250$)⪄$1818$⪄$9719$","expression":"(+⊝⨔∃⊬186A)⪄∃⊬71A⪄∃⊬25F7","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":229,"operation_count":3,"complexity_ratio":76.33333333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6250,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1818,"base":16},"right_expr":{"type":"numeric_atoms","value":9719,"base":16}}},"used_operators":["SUmda5xLS4","DhbWaqg5eL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬F2DD3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6250","layer":2},{"info":"compute unary expreesion, input=6250, 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=1818","layer":2},{"info":"number node, value=9719","layer":2},{"info":"compute binary expreesion, left_input=1818, right_input=9719, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-304029","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-304029, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=994771","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔∃⊬186A)⪄∃⊬71A⪄∃⊬25F7=∃⊬F2DD3","reverse_text":"∃⊬F2DD3=(+⊝⨔∃⊬186A)⪄∃⊬71A⪄∃⊬25F7","cot":[{"info":"+⊝⨔∃⊬186A=∃⊬5F2","layer":1},{"info":"∃⊬71A⪄∃⊬25F7=∃⊬-4A39D","layer":1},{"info":"∃⊬5F2⪄∃⊬-4A39D=∃⊬F2DD3","layer":0}]}
+{"id":665,"expression_no_base_symbol":"(↯⪼$3209$)⫡⨏(⊄⩳↩$2742$)","expression":"(↯⪼∃⊬C89)⫡⨏(⊄⩳↩∃⊬AB6)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3209,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2742,"base":16}}},"used_operators":["QMFrweE19q","8jW3W4yZS5","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-3D9E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3209","layer":2},{"info":"compute unary expreesion, input=3209, 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=2742","layer":2},{"info":"compute unary expreesion, input=2742, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8226","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-8226, 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=-15774","layer":0}],"base":16,"result_base":16,"text":"(↯⪼∃⊬C89)⫡⨏(⊄⩳↩∃⊬AB6)=∃⊬-3D9E","reverse_text":"∃⊬-3D9E=(↯⪼∃⊬C89)⫡⨏(⊄⩳↩∃⊬AB6)","cot":[{"info":"↯⪼∃⊬C89=∃⊬-15","layer":1},{"info":"⊄⩳↩∃⊬AB6=∃⊬-2022","layer":1},{"info":"∃⊬-15⫡⨏∃⊬-2022=∃⊬-3D9E","layer":0}]}
+{"id":666,"expression_no_base_symbol":"(≤/$2326$)⨓($5919$-$3590$)","expression":"(≤/∃⊬916)⨓(∃⊬171F-∃⊬E06)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2337,"operation_count":3,"complexity_ratio":779.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2326,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5919,"base":16},"right_expr":{"type":"numeric_atoms","value":3590,"base":16}}},"used_operators":["3ViojmjbAp","eLAdDNolq6","rysDP5nf3Z"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z"],"result":"∃⊬-91C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2326","layer":2},{"info":"compute unary expreesion, input=2326, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1842","layer":1},{"info":"number node, value=5919","layer":2},{"info":"number node, value=3590","layer":2},{"info":"compute binary expreesion, left_input=5919, right_input=3590, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2329","layer":1},{"info":"compute binary expreesion, left_input=-1842, right_input=2329, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2332","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬916)⨓(∃⊬171F-∃⊬E06)=∃⊬-91C","reverse_text":"∃⊬-91C=(≤/∃⊬916)⨓(∃⊬171F-∃⊬E06)","cot":[{"info":"≤/∃⊬916=∃⊬-732","layer":1},{"info":"∃⊬171F-∃⊬E06=∃⊬919","layer":1},{"info":"∃⊬-732⨓∃⊬919=∃⊬-91C","layer":0}]}
+{"id":667,"expression_no_base_symbol":"($1049$⊠≄⫣)⫌⩹⨱","expression":"(∃⊬419⊠≄⫣)⫌⩹⨱","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":1049,"base":16}}},"used_operators":["EBcxylXtPf","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬579","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":2},{"info":"compute unary expreesion, input=1049, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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":16,"result_base":16,"text":"(∃⊬419⊠≄⫣)⫌⩹⨱=∃⊬579","reverse_text":"∃⊬579=(∃⊬419⊠≄⫣)⫌⩹⨱","cot":[{"info":"∃⊬419⊠≄⫣=∃⊬0","layer":1},{"info":"∃⊬0⫌⩹⨱=∃⊬579","layer":0}]}
+{"id":668,"expression_no_base_symbol":"($8879$≋⫹)⨰(⊙↵-$2660$)","expression":"(∃⊬22AF≋⫹)⨰(⊙↵-∃⊬A64)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2715,"operation_count":3,"complexity_ratio":905.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":8879,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2660,"base":16}}},"used_operators":["eewbuw0ToL","N41Kp7NANJ","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬-4553","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8879","layer":2},{"info":"compute unary expreesion, input=8879, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-17758","layer":1},{"info":"number node, value=2660","layer":2},{"info":"compute unary expreesion, input=2660, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-17758, right_input=-1, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-17747","layer":0}],"base":16,"result_base":16,"text":"(∃⊬22AF≋⫹)⨰(⊙↵-∃⊬A64)=∃⊬-4553","reverse_text":"∃⊬-4553=(∃⊬22AF≋⫹)⨰(⊙↵-∃⊬A64)","cot":[{"info":"∃⊬22AF≋⫹=∃⊬-455E","layer":1},{"info":"⊙↵-∃⊬A64=∃⊬-1","layer":1},{"info":"∃⊬-455E⨰∃⊬-1=∃⊬-4553","layer":0}]}
+{"id":669,"expression_no_base_symbol":"($1463$⫸⊐$3269$)⫥∨⫟$1545$⩚⊴⇥$1010$","expression":"(∃⊬5B7⫸⊐∃⊬CC5)⫥∨⫟∃⊬609⩚⊴⇥∃⊬3F2","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":1463,"base":16},"right_expr":{"type":"numeric_atoms","value":3269,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1545,"base":16},"right_expr":{"type":"numeric_atoms","value":1010,"base":16}}},"used_operators":["KYD54nUTWz","mqXw5SEYmG","NTOWxs364D"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":2},{"info":"number node, value=3269","layer":2},{"info":"compute binary expreesion, left_input=1463, right_input=3269, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12951","layer":1},{"info":"number node, value=1545","layer":2},{"info":"number node, value=1010","layer":2},{"info":"compute binary expreesion, left_input=1545, right_input=1010, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2676","layer":1},{"info":"compute binary expreesion, left_input=12951, right_input=-2676, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬5B7⫸⊐∃⊬CC5)⫥∨⫟∃⊬609⩚⊴⇥∃⊬3F2=NaN","reverse_text":"NaN=(∃⊬5B7⫸⊐∃⊬CC5)⫥∨⫟∃⊬609⩚⊴⇥∃⊬3F2","cot":[{"info":"∃⊬5B7⫸⊐∃⊬CC5=∃⊬3297","layer":1},{"info":"∃⊬609⩚⊴⇥∃⊬3F2=∃⊬-A74","layer":1},{"info":"∃⊬3297⫥∨⫟∃⊬-A74=NaN","layer":0}]}
+{"id":670,"expression_no_base_symbol":"(↣≠⋷$3301$)*$1600$↺$5870$","expression":"(↣≠⋷∃⊬CE5)*∃⊬640↺∃⊬16EE","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":3301,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1600,"base":16},"right_expr":{"type":"numeric_atoms","value":5870,"base":16}}},"used_operators":["9HNa5Wba9A","Asc51vEJeQ","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3301","layer":2},{"info":"compute unary expreesion, input=3301, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1600","layer":2},{"info":"number node, value=5870","layer":2},{"info":"compute binary expreesion, left_input=1600, right_input=5870, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5870","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5870, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷∃⊬CE5)*∃⊬640↺∃⊬16EE=NaN","reverse_text":"NaN=(↣≠⋷∃⊬CE5)*∃⊬640↺∃⊬16EE","cot":[{"info":"↣≠⋷∃⊬CE5=NaN","layer":1},{"info":"∃⊬640↺∃⊬16EE=∃⊬16EE","layer":1},{"info":"NaN*∃⊬16EE=NaN","layer":0}]}
+{"id":671,"expression_no_base_symbol":"($2708$∧)⪮%⊝($5743$⨐⩸⫘$1654$)","expression":"(∃⊬A94∧)⪮%⊝(∃⊬166F⨐⩸⫘∃⊬676)","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":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2708,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5743,"base":16},"right_expr":{"type":"numeric_atoms","value":1654,"base":16}}},"used_operators":["IWmyXbctLI","z63VuFQld9","fu6greOZ01"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2708","layer":2},{"info":"compute unary expreesion, input=2708, 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=5743","layer":2},{"info":"number node, value=1654","layer":2},{"info":"compute binary expreesion, left_input=5743, right_input=1654, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A94∧)⪮%⊝(∃⊬166F⨐⩸⫘∃⊬676)=NaN","reverse_text":"NaN=(∃⊬A94∧)⪮%⊝(∃⊬166F⨐⩸⫘∃⊬676)","cot":[{"info":"∃⊬A94∧=NaN","layer":1},{"info":"∃⊬166F⨐⩸⫘∃⊬676=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
+{"id":672,"expression_no_base_symbol":"$3873$⨟⋌⩍$3494$⇷($4664$⨰$1953$)","expression":"∃⊬F21⨟⋌⩍∃⊬DA6⇷(∃⊬1238⨰∃⊬7A1)","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":3873,"base":16},"right_expr":{"type":"numeric_atoms","value":3494,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4664,"base":16},"right_expr":{"type":"numeric_atoms","value":1953,"base":16}}},"used_operators":["mp7IySMOzn","rGHVDoGpnC","eewbuw0ToL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1542","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3873","layer":2},{"info":"number node, value=3494","layer":2},{"info":"compute binary expreesion, left_input=3873, right_input=3494, 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=4664","layer":2},{"info":"number node, value=1953","layer":2},{"info":"compute binary expreesion, left_input=4664, right_input=1953, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2721","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2721, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5442","layer":0}],"base":16,"result_base":16,"text":"∃⊬F21⨟⋌⩍∃⊬DA6⇷(∃⊬1238⨰∃⊬7A1)=∃⊬1542","reverse_text":"∃⊬1542=∃⊬F21⨟⋌⩍∃⊬DA6⇷(∃⊬1238⨰∃⊬7A1)","cot":[{"info":"∃⊬F21⨟⋌⩍∃⊬DA6=NaN","layer":1},{"info":"∃⊬1238⨰∃⊬7A1=∃⊬AA1","layer":1},{"info":"NaN⇷∃⊬AA1=∃⊬1542","layer":0}]}
+{"id":673,"expression_no_base_symbol":"≤/$2296$∑⇟⊟$2711$","expression":"≤/∃⊬8F8∑⇟⊟∃⊬A97","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":2296,"base":16},"right_expr":{"type":"numeric_atoms","value":2711,"base":16}}},"used_operators":["eLAdDNolq6","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2296","layer":2},{"info":"number node, value=2711","layer":2},{"info":"compute binary expreesion, left_input=2296, right_input=2711, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≤/∃⊬8F8∑⇟⊟∃⊬A97=NaN","reverse_text":"NaN=≤/∃⊬8F8∑⇟⊟∃⊬A97","cot":[{"info":"∃⊬8F8∑⇟⊟∃⊬A97=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
+{"id":674,"expression_no_base_symbol":"↯⪼($6559$⊉≛↸$1042$)","expression":"↯⪼(∃⊬199F⊉≛↸∃⊬412)","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":6559,"base":16},"right_expr":{"type":"numeric_atoms","value":1042,"base":16}}},"used_operators":["8jW3W4yZS5","DZ8iAZOCBD"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6559","layer":2},{"info":"number node, value=1042","layer":2},{"info":"compute binary expreesion, left_input=6559, right_input=1042, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13118","layer":1},{"info":"compute unary expreesion, input=13118, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∃⊬199F⊉≛↸∃⊬412)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(∃⊬199F⊉≛↸∃⊬412)","cot":[{"info":"∃⊬199F⊉≛↸∃⊬412=∃⊬333E","layer":1},{"info":"↯⪼∃⊬333E=∃⊬-15","layer":0}]}
+{"id":675,"expression_no_base_symbol":"($4182$/$1874$)≎⊠⪸(⫓⪴$6450$)","expression":"(∃⊬1056/∃⊬752)≎⊠⪸(⫓⪴∃⊬1932)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6465,"operation_count":3,"complexity_ratio":2155.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4182,"base":16},"right_expr":{"type":"numeric_atoms","value":1874,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6450,"base":16}}},"used_operators":["bJkvcejdHO","XhwjNDsVaA","eLxqMNBOBk"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","9HNa5Wba9A"],"result":"∃⊬2D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4182","layer":2},{"info":"number node, value=1874","layer":2},{"info":"compute binary expreesion, left_input=4182, right_input=1874, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"number node, value=6450","layer":2},{"info":"compute unary expreesion, input=6450, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=41602500","layer":1},{"info":"compute binary expreesion, left_input=2, right_input=41602500, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=45","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1056/∃⊬752)≎⊠⪸(⫓⪴∃⊬1932)=∃⊬2D","reverse_text":"∃⊬2D=(∃⊬1056/∃⊬752)≎⊠⪸(⫓⪴∃⊬1932)","cot":[{"info":"∃⊬1056/∃⊬752=∃⊬2","layer":1},{"info":"⫓⪴∃⊬1932=∃⊬27ACDC4","layer":1},{"info":"∃⊬2≎⊠⪸∃⊬27ACDC4=∃⊬2D","layer":0}]}
+{"id":676,"expression_no_base_symbol":"(∂$1065$)⪮%⊝($8865$≎⊠⪸$3460$)","expression":"(∂∃⊬429)⪮%⊝(∃⊬22A1≎⊠⪸∃⊬D84)","highest_n_order":5,"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":1065,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8865,"base":16},"right_expr":{"type":"numeric_atoms","value":3460,"base":16}}},"used_operators":["IWmyXbctLI","Uaa54Peajs","bJkvcejdHO"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":2},{"info":"compute unary expreesion, input=1065, 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=8865","layer":2},{"info":"number node, value=3460","layer":2},{"info":"compute binary expreesion, left_input=8865, right_input=3460, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2295562","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2295562, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∂∃⊬429)⪮%⊝(∃⊬22A1≎⊠⪸∃⊬D84)=NaN","reverse_text":"NaN=(∂∃⊬429)⪮%⊝(∃⊬22A1≎⊠⪸∃⊬D84)","cot":[{"info":"∂∃⊬429=NaN","layer":1},{"info":"∃⊬22A1≎⊠⪸∃⊬D84=∃⊬23070A","layer":1},{"info":"NaN⪮%⊝∃⊬23070A=NaN","layer":0}]}
+{"id":677,"expression_no_base_symbol":"$4987$↬$2775$%$4056$⊉≛↸$5089$","expression":"∃⊬137B↬∃⊬AD7%∃⊬FD8⊉≛↸∃⊬13E1","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":4987,"base":16},"right_expr":{"type":"numeric_atoms","value":2775,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4056,"base":16},"right_expr":{"type":"numeric_atoms","value":5089,"base":16}}},"used_operators":["k8jYdgA6NY","B5M0gjZbta","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4987","layer":2},{"info":"number node, value=2775","layer":2},{"info":"compute binary expreesion, left_input=4987, right_input=2775, 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=4056","layer":2},{"info":"number node, value=5089","layer":2},{"info":"compute binary expreesion, left_input=4056, right_input=5089, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8112","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8112, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬137B↬∃⊬AD7%∃⊬FD8⊉≛↸∃⊬13E1=NaN","reverse_text":"NaN=∃⊬137B↬∃⊬AD7%∃⊬FD8⊉≛↸∃⊬13E1","cot":[{"info":"∃⊬137B↬∃⊬AD7=NaN","layer":1},{"info":"∃⊬FD8⊉≛↸∃⊬13E1=∃⊬1FB0","layer":1},{"info":"NaN%∃⊬1FB0=NaN","layer":0}]}
+{"id":678,"expression_no_base_symbol":"($4488$≦≮≮)⫥∨⫟$3945$⇷$7443$","expression":"(∃⊬1188≦≮≮)⫥∨⫟∃⊬F69⇷∃⊬1D13","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55393,"operation_count":3,"complexity_ratio":18464.333333333332,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4488,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3945,"base":16},"right_expr":{"type":"numeric_atoms","value":7443,"base":16}}},"used_operators":["KYD54nUTWz","D4vGDi5EA2","mp7IySMOzn"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4488","layer":2},{"info":"compute unary expreesion, input=4488, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13464","layer":1},{"info":"number node, value=3945","layer":2},{"info":"number node, value=7443","layer":2},{"info":"compute binary expreesion, left_input=3945, right_input=7443, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14886","layer":1},{"info":"compute binary expreesion, left_input=-13464, right_input=14886, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1188≦≮≮)⫥∨⫟∃⊬F69⇷∃⊬1D13=NaN","reverse_text":"NaN=(∃⊬1188≦≮≮)⫥∨⫟∃⊬F69⇷∃⊬1D13","cot":[{"info":"∃⊬1188≦≮≮=∃⊬-3498","layer":1},{"info":"∃⊬F69⇷∃⊬1D13=∃⊬3A26","layer":1},{"info":"∃⊬-3498⫥∨⫟∃⊬3A26=NaN","layer":0}]}
+{"id":679,"expression_no_base_symbol":"($8499$↬$1430$)⪛($2836$⋷$1321$)","expression":"(∃⊬2133↬∃⊬596)⪛(∃⊬B14⋷∃⊬529)","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":8499,"base":16},"right_expr":{"type":"numeric_atoms","value":1430,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2836,"base":16},"right_expr":{"type":"numeric_atoms","value":1321,"base":16}}},"used_operators":["uFcxV4UQCh","B5M0gjZbta","23Mk6UjR3U"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=8499","layer":2},{"info":"number node, value=1430","layer":2},{"info":"compute binary expreesion, left_input=8499, right_input=1430, 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=2836","layer":2},{"info":"number node, value=1321","layer":2},{"info":"compute binary expreesion, left_input=2836, right_input=1321, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-194","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-194, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬2133↬∃⊬596)⪛(∃⊬B14⋷∃⊬529)=NaN","reverse_text":"NaN=(∃⊬2133↬∃⊬596)⪛(∃⊬B14⋷∃⊬529)","cot":[{"info":"∃⊬2133↬∃⊬596=NaN","layer":1},{"info":"∃⊬B14⋷∃⊬529=∃⊬-C2","layer":1},{"info":"NaN⪛∃⊬-C2=NaN","layer":0}]}
+{"id":680,"expression_no_base_symbol":"⪲⇎($3319$⋷$8291$)","expression":"⪲⇎(∃⊬CF7⋷∃⊬2063)","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":3319,"base":16},"right_expr":{"type":"numeric_atoms","value":8291,"base":16}}},"used_operators":["XPYlsWDdGa","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬679E","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3319","layer":2},{"info":"number node, value=8291","layer":2},{"info":"compute binary expreesion, left_input=3319, right_input=8291, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13263","layer":1},{"info":"compute unary expreesion, input=13263, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=26526","layer":0}],"base":16,"result_base":16,"text":"⪲⇎(∃⊬CF7⋷∃⊬2063)=∃⊬679E","reverse_text":"∃⊬679E=⪲⇎(∃⊬CF7⋷∃⊬2063)","cot":[{"info":"∃⊬CF7⋷∃⊬2063=∃⊬33CF","layer":1},{"info":"⪲⇎∃⊬33CF=∃⊬679E","layer":0}]}
+{"id":681,"expression_no_base_symbol":"$2051$⇼⇔∾$2354$⨸⪁$1478$⩷∴$3045$","expression":"∃⊬803⇼⇔∾∃⊬932⨸⪁∃⊬5C6⩷∴∃⊬BE5","highest_n_order":1,"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":2051,"base":16},"right_expr":{"type":"numeric_atoms","value":2354,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1478,"base":16},"right_expr":{"type":"numeric_atoms","value":3045,"base":16}}},"used_operators":["g55IO6H4Gj","tifHPKVTfV","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-165E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2051","layer":2},{"info":"number node, value=2354","layer":2},{"info":"compute binary expreesion, left_input=2051, right_input=2354, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=303","layer":1},{"info":"number node, value=1478","layer":2},{"info":"number node, value=3045","layer":2},{"info":"compute binary expreesion, left_input=1478, right_input=3045, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3166","layer":1},{"info":"compute binary expreesion, left_input=303, right_input=-3166, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-5726","layer":0}],"base":16,"result_base":16,"text":"∃⊬803⇼⇔∾∃⊬932⨸⪁∃⊬5C6⩷∴∃⊬BE5=∃⊬-165E","reverse_text":"∃⊬-165E=∃⊬803⇼⇔∾∃⊬932⨸⪁∃⊬5C6⩷∴∃⊬BE5","cot":[{"info":"∃⊬803⇼⇔∾∃⊬932=∃⊬12F","layer":1},{"info":"∃⊬5C6⩷∴∃⊬BE5=∃⊬-C5E","layer":1},{"info":"∃⊬12F⨸⪁∃⊬-C5E=∃⊬-165E","layer":0}]}
+{"id":682,"expression_no_base_symbol":"↔($9677$↬$2475$)","expression":"↔(∃⊬25CD↬∃⊬9AB)","highest_n_order":5,"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":9677,"base":16},"right_expr":{"type":"numeric_atoms","value":2475,"base":16}}},"used_operators":["ruOEQAzv1W","B5M0gjZbta"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC"],"result":"∃⊬-86","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=9677","layer":2},{"info":"number node, value=2475","layer":2},{"info":"compute binary expreesion, left_input=9677, right_input=2475, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":16,"result_base":16,"text":"↔(∃⊬25CD↬∃⊬9AB)=∃⊬-86","reverse_text":"∃⊬-86=↔(∃⊬25CD↬∃⊬9AB)","cot":[{"info":"∃⊬25CD↬∃⊬9AB=NaN","layer":1},{"info":"↔NaN=∃⊬-86","layer":0}]}
+{"id":683,"expression_no_base_symbol":"$2967$⇼⇔∾$4149$⇼⇔∾(∂$4659$)","expression":"∃⊬B97⇼⇔∾∃⊬1035⇼⇔∾(∂∃⊬1233)","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":2967,"base":16},"right_expr":{"type":"numeric_atoms","value":4149,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4659,"base":16}}},"used_operators":["tifHPKVTfV","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2967","layer":2},{"info":"number node, value=4149","layer":2},{"info":"compute binary expreesion, left_input=2967, right_input=4149, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1182","layer":1},{"info":"number node, value=4659","layer":2},{"info":"compute unary expreesion, input=4659, 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=1182, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬B97⇼⇔∾∃⊬1035⇼⇔∾(∂∃⊬1233)=NaN","reverse_text":"NaN=∃⊬B97⇼⇔∾∃⊬1035⇼⇔∾(∂∃⊬1233)","cot":[{"info":"∃⊬B97⇼⇔∾∃⊬1035=∃⊬49E","layer":1},{"info":"∂∃⊬1233=NaN","layer":1},{"info":"∃⊬49E⇼⇔∾NaN=NaN","layer":0}]}
+{"id":684,"expression_no_base_symbol":"(⇁⨣⪵$4395$)⨵⪆$3321$⩚⊴⇥$4417$","expression":"(⇁⨣⪵∃⊬112B)⨵⪆∃⊬CF9⩚⊴⇥∃⊬1141","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":4395,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3321,"base":16},"right_expr":{"type":"numeric_atoms","value":4417,"base":16}}},"used_operators":["2DQ55sFlQl","inkyxCbjAn","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4395","layer":2},{"info":"compute unary expreesion, input=4395, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3321","layer":2},{"info":"number node, value=4417","layer":2},{"info":"compute binary expreesion, left_input=3321, right_input=4417, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7859","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7859, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(⇁⨣⪵∃⊬112B)⨵⪆∃⊬CF9⩚⊴⇥∃⊬1141=∃⊬A0","reverse_text":"∃⊬A0=(⇁⨣⪵∃⊬112B)⨵⪆∃⊬CF9⩚⊴⇥∃⊬1141","cot":[{"info":"⇁⨣⪵∃⊬112B=NaN","layer":1},{"info":"∃⊬CF9⩚⊴⇥∃⊬1141=∃⊬-1EB3","layer":1},{"info":"NaN⨵⪆∃⊬-1EB3=∃⊬A0","layer":0}]}
+{"id":685,"expression_no_base_symbol":"↔(↥$7948$)","expression":"↔(↥∃⊬1F0C)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":162,"operation_count":2,"complexity_ratio":81.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7948,"base":16}}},"used_operators":["ruOEQAzv1W","A8NUZmVepG"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY"],"result":"∃⊬E6","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7948","layer":2},{"info":"compute unary expreesion, input=7948, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":1},{"info":"compute unary expreesion, input=43, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=230","layer":0}],"base":16,"result_base":16,"text":"↔(↥∃⊬1F0C)=∃⊬E6","reverse_text":"∃⊬E6=↔(↥∃⊬1F0C)","cot":[{"info":"↥∃⊬1F0C=∃⊬2B","layer":1},{"info":"↔∃⊬2B=∃⊬E6","layer":0}]}
+{"id":686,"expression_no_base_symbol":"($3412$⋫)⊴($6255$⨳⩥⨓$6284$)","expression":"(∃⊬D54⋫)⊴(∃⊬186F⨳⩥⨓∃⊬188C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5758,"operation_count":3,"complexity_ratio":1919.3333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3412,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6255,"base":16},"right_expr":{"type":"numeric_atoms","value":6284,"base":16}}},"used_operators":["Nsiff2A1zJ","JL8yIekQnl","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3412","layer":2},{"info":"compute unary expreesion, input=3412, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3412","layer":1},{"info":"number node, value=6255","layer":2},{"info":"number node, value=6284","layer":2},{"info":"compute binary expreesion, left_input=6255, right_input=6284, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=29","layer":1},{"info":"compute binary expreesion, left_input=3412, right_input=29, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D54⋫)⊴(∃⊬186F⨳⩥⨓∃⊬188C)=NaN","reverse_text":"NaN=(∃⊬D54⋫)⊴(∃⊬186F⨳⩥⨓∃⊬188C)","cot":[{"info":"∃⊬D54⋫=∃⊬D54","layer":1},{"info":"∃⊬186F⨳⩥⨓∃⊬188C=∃⊬1D","layer":1},{"info":"∃⊬D54⊴∃⊬1D=NaN","layer":0}]}
+{"id":687,"expression_no_base_symbol":"$3681$⩚⊴⇥$2992$⫥∨⫟($6540$⋷$1446$)","expression":"∃⊬E61⩚⊴⇥∃⊬BB0⫥∨⫟(∃⊬198C⋷∃⊬5A6)","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":3681,"base":16},"right_expr":{"type":"numeric_atoms","value":2992,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6540,"base":16},"right_expr":{"type":"numeric_atoms","value":1446,"base":16}}},"used_operators":["KYD54nUTWz","NTOWxs364D","23Mk6UjR3U"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3681","layer":2},{"info":"number node, value=2992","layer":2},{"info":"compute binary expreesion, left_input=3681, right_input=2992, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6794","layer":1},{"info":"number node, value=6540","layer":2},{"info":"number node, value=1446","layer":2},{"info":"compute binary expreesion, left_input=6540, right_input=1446, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3648","layer":1},{"info":"compute binary expreesion, left_input=-6794, right_input=-3648, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬E61⩚⊴⇥∃⊬BB0⫥∨⫟(∃⊬198C⋷∃⊬5A6)=NaN","reverse_text":"NaN=∃⊬E61⩚⊴⇥∃⊬BB0⫥∨⫟(∃⊬198C⋷∃⊬5A6)","cot":[{"info":"∃⊬E61⩚⊴⇥∃⊬BB0=∃⊬-1A8A","layer":1},{"info":"∃⊬198C⋷∃⊬5A6=∃⊬-E40","layer":1},{"info":"∃⊬-1A8A⫥∨⫟∃⊬-E40=NaN","layer":0}]}
+{"id":688,"expression_no_base_symbol":"∂($6290$⨰$2814$)","expression":"∂(∃⊬1892⨰∃⊬AFE)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6290,"base":16},"right_expr":{"type":"numeric_atoms","value":2814,"base":16}}},"used_operators":["Uaa54Peajs","eewbuw0ToL"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6290","layer":2},{"info":"number node, value=2814","layer":2},{"info":"compute binary expreesion, left_input=6290, right_input=2814, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3486","layer":1},{"info":"compute unary expreesion, input=3486, 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":16,"result_base":16,"text":"∂(∃⊬1892⨰∃⊬AFE)=NaN","reverse_text":"NaN=∂(∃⊬1892⨰∃⊬AFE)","cot":[{"info":"∃⊬1892⨰∃⊬AFE=∃⊬D9E","layer":1},{"info":"∂∃⊬D9E=NaN","layer":0}]}
+{"id":689,"expression_no_base_symbol":"($3198$⋝⋈⪟$2776$)∧","expression":"(∃⊬C7E⋝⋈⪟∃⊬AD8)∧","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":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3198,"base":16},"right_expr":{"type":"numeric_atoms","value":2776,"base":16}}},"used_operators":["z63VuFQld9","2DDjHMKMc0"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3198","layer":2},{"info":"number node, value=2776","layer":2},{"info":"compute binary expreesion, left_input=3198, right_input=2776, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3198","layer":1},{"info":"compute unary expreesion, input=3198, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C7E⋝⋈⪟∃⊬AD8)∧=NaN","reverse_text":"NaN=(∃⊬C7E⋝⋈⪟∃⊬AD8)∧","cot":[{"info":"∃⊬C7E⋝⋈⪟∃⊬AD8=∃⊬C7E","layer":1},{"info":"∃⊬C7E∧=NaN","layer":0}]}
+{"id":690,"expression_no_base_symbol":"($2856$≧⫂∧$2548$)⪢($6247$∑⇟⊟$3287$)","expression":"(∃⊬B28≧⫂∧∃⊬9F4)⪢(∃⊬1867∑⇟⊟∃⊬CD7)","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":2856,"base":16},"right_expr":{"type":"numeric_atoms","value":2548,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6247,"base":16},"right_expr":{"type":"numeric_atoms","value":3287,"base":16}}},"used_operators":["dWAJyo7jo9","Ph9nP6C5qx","U7g4x0WXJJ"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2856","layer":2},{"info":"number node, value=2548","layer":2},{"info":"compute binary expreesion, left_input=2856, right_input=2548, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2075","layer":1},{"info":"number node, value=6247","layer":2},{"info":"number node, value=3287","layer":2},{"info":"compute binary expreesion, left_input=6247, right_input=3287, 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=2075, 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":16,"result_base":16,"text":"(∃⊬B28≧⫂∧∃⊬9F4)⪢(∃⊬1867∑⇟⊟∃⊬CD7)=NaN","reverse_text":"NaN=(∃⊬B28≧⫂∧∃⊬9F4)⪢(∃⊬1867∑⇟⊟∃⊬CD7)","cot":[{"info":"∃⊬B28≧⫂∧∃⊬9F4=∃⊬81B","layer":1},{"info":"∃⊬1867∑⇟⊟∃⊬CD7=NaN","layer":1},{"info":"∃⊬81B⪢NaN=NaN","layer":0}]}
+{"id":691,"expression_no_base_symbol":"(-$1449$)↙$9382$↬$4872$","expression":"(-∃⊬5A9)↙∃⊬24A6↬∃⊬1308","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":1449,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":9382,"base":16},"right_expr":{"type":"numeric_atoms","value":4872,"base":16}}},"used_operators":["yyfyN0ffXY","t8gj7n24qd","B5M0gjZbta"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC"],"result":"∃⊬-5A9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1449","layer":2},{"info":"compute unary expreesion, input=1449, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1449","layer":1},{"info":"number node, value=9382","layer":2},{"info":"number node, value=4872","layer":2},{"info":"compute binary expreesion, left_input=9382, right_input=4872, 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=-1449, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1449","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬5A9)↙∃⊬24A6↬∃⊬1308=∃⊬-5A9","reverse_text":"∃⊬-5A9=(-∃⊬5A9)↙∃⊬24A6↬∃⊬1308","cot":[{"info":"-∃⊬5A9=∃⊬-5A9","layer":1},{"info":"∃⊬24A6↬∃⊬1308=NaN","layer":1},{"info":"∃⊬-5A9↙NaN=∃⊬-5A9","layer":0}]}
+{"id":692,"expression_no_base_symbol":"($3387$∀⇚≩$1061$)⇷(≤/$2138$)","expression":"(∃⊬D3B∀⇚≩∃⊬425)⇷(≤/∃⊬85A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23719,"operation_count":3,"complexity_ratio":7906.333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3387,"base":16},"right_expr":{"type":"numeric_atoms","value":1061,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2138,"base":16}}},"used_operators":["mp7IySMOzn","LRNGc0VcxI","eLAdDNolq6"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3387","layer":2},{"info":"number node, value=1061","layer":2},{"info":"compute binary expreesion, left_input=3387, right_input=1061, 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=2138","layer":2},{"info":"compute unary expreesion, input=2138, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1654","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1654, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D3B∀⇚≩∃⊬425)⇷(≤/∃⊬85A)=NaN","reverse_text":"NaN=(∃⊬D3B∀⇚≩∃⊬425)⇷(≤/∃⊬85A)","cot":[{"info":"∃⊬D3B∀⇚≩∃⊬425=NaN","layer":1},{"info":"≤/∃⊬85A=∃⊬-676","layer":1},{"info":"NaN⇷∃⊬-676=NaN","layer":0}]}
+{"id":693,"expression_no_base_symbol":"($2542$≦≮≮)⋷$2988$⋥≓≎$1247$","expression":"(∃⊬9EE≦≮≮)⋷∃⊬BAC⋥≓≎∃⊬4DF","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":2542,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2988,"base":16},"right_expr":{"type":"numeric_atoms","value":1247,"base":16}}},"used_operators":["23Mk6UjR3U","D4vGDi5EA2","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬3B94","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2542","layer":2},{"info":"compute unary expreesion, input=2542, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7626","layer":1},{"info":"number node, value=2988","layer":2},{"info":"number node, value=1247","layer":2},{"info":"compute binary expreesion, left_input=2988, right_input=1247, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-461","layer":1},{"info":"compute binary expreesion, left_input=-7626, right_input=-461, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15252","layer":0}],"base":16,"result_base":16,"text":"(∃⊬9EE≦≮≮)⋷∃⊬BAC⋥≓≎∃⊬4DF=∃⊬3B94","reverse_text":"∃⊬3B94=(∃⊬9EE≦≮≮)⋷∃⊬BAC⋥≓≎∃⊬4DF","cot":[{"info":"∃⊬9EE≦≮≮=∃⊬-1DCA","layer":1},{"info":"∃⊬BAC⋥≓≎∃⊬4DF=∃⊬-1CD","layer":1},{"info":"∃⊬-1DCA⋷∃⊬-1CD=∃⊬3B94","layer":0}]}
+{"id":694,"expression_no_base_symbol":"(⨵≀≌$6014$)⋳⪒$3650$≭$2380$","expression":"(⨵≀≌∃⊬177E)⋳⪒∃⊬E42≭∃⊬94C","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":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6014,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3650,"base":16},"right_expr":{"type":"numeric_atoms","value":2380,"base":16}}},"used_operators":["12rbrZMWeM","srAu1WTS94","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6014","layer":2},{"info":"compute unary expreesion, input=6014, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-18042","layer":1},{"info":"number node, value=3650","layer":2},{"info":"number node, value=2380","layer":2},{"info":"compute binary expreesion, left_input=3650, right_input=2380, 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=-18042, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨵≀≌∃⊬177E)⋳⪒∃⊬E42≭∃⊬94C=NaN","reverse_text":"NaN=(⨵≀≌∃⊬177E)⋳⪒∃⊬E42≭∃⊬94C","cot":[{"info":"⨵≀≌∃⊬177E=∃⊬-467A","layer":1},{"info":"∃⊬E42≭∃⊬94C=NaN","layer":1},{"info":"∃⊬-467A⋳⪒NaN=NaN","layer":0}]}
+{"id":695,"expression_no_base_symbol":"(⫓⪴$2129$)+⇶⊼$2895$⨪↰⇹$5567$","expression":"(⫓⪴∃⊬851)+⇶⊼∃⊬B4F⨪↰⇹∃⊬15BF","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5025,"operation_count":3,"complexity_ratio":1675.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2129,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2895,"base":16},"right_expr":{"type":"numeric_atoms","value":5567,"base":16}}},"used_operators":["TpPTUOHfaN","eLxqMNBOBk","tmPS8pqC7x"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2129","layer":2},{"info":"compute unary expreesion, input=2129, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4532641","layer":1},{"info":"number node, value=2895","layer":2},{"info":"number node, value=5567","layer":2},{"info":"compute binary expreesion, left_input=2895, right_input=5567, 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=2895","layer":1},{"info":"compute binary expreesion, left_input=4532641, right_input=2895, 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":16,"result_base":16,"text":"(⫓⪴∃⊬851)+⇶⊼∃⊬B4F⨪↰⇹∃⊬15BF=NaN","reverse_text":"NaN=(⫓⪴∃⊬851)+⇶⊼∃⊬B4F⨪↰⇹∃⊬15BF","cot":[{"info":"⫓⪴∃⊬851=∃⊬4529A1","layer":1},{"info":"∃⊬B4F⨪↰⇹∃⊬15BF=∃⊬B4F","layer":1},{"info":"∃⊬4529A1+⇶⊼∃⊬B4F=NaN","layer":0}]}
+{"id":696,"expression_no_base_symbol":"(⫛⫱⨽$1611$)⋳⪒($1875$⨽$1311$)","expression":"(⫛⫱⨽∃⊬64B)⋳⪒(∃⊬753⨽∃⊬51F)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3313,"operation_count":3,"complexity_ratio":1104.3333333333333,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1611,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1875,"base":16},"right_expr":{"type":"numeric_atoms","value":1311,"base":16}}},"used_operators":["12rbrZMWeM","DlLNRPXxWL","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬A0F7D7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1611","layer":2},{"info":"compute unary expreesion, input=1611, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1875","layer":2},{"info":"number node, value=1311","layer":2},{"info":"compute binary expreesion, left_input=1875, right_input=1311, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10549494","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-10549494, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10549207","layer":0}],"base":16,"result_base":16,"text":"(⫛⫱⨽∃⊬64B)⋳⪒(∃⊬753⨽∃⊬51F)=∃⊬A0F7D7","reverse_text":"∃⊬A0F7D7=(⫛⫱⨽∃⊬64B)⋳⪒(∃⊬753⨽∃⊬51F)","cot":[{"info":"⫛⫱⨽∃⊬64B=∃⊬0","layer":1},{"info":"∃⊬753⨽∃⊬51F=∃⊬-A0F8F6","layer":1},{"info":"∃⊬0⋳⪒∃⊬-A0F8F6=∃⊬A0F7D7","layer":0}]}
+{"id":697,"expression_no_base_symbol":"≉($1000$↛⩡⫤)","expression":"≉(∃⊬3E8↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3135,"operation_count":2,"complexity_ratio":1567.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1000,"base":16}}},"used_operators":["e1ybzncUwg","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"∃⊬-23E91","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"compute unary expreesion, input=1000, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-147089","layer":1},{"info":"compute unary expreesion, input=-147089, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-147089","layer":0}],"base":16,"result_base":16,"text":"≉(∃⊬3E8↛⩡⫤)=∃⊬-23E91","reverse_text":"∃⊬-23E91=≉(∃⊬3E8↛⩡⫤)","cot":[{"info":"∃⊬3E8↛⩡⫤=∃⊬-23E91","layer":1},{"info":"≉∃⊬-23E91=∃⊬-23E91","layer":0}]}
+{"id":698,"expression_no_base_symbol":"(≦∁$1054$)∼($5690$⩚⊴⇥$2215$)","expression":"(≦∁∃⊬41E)∼(∃⊬163A⩚⊴⇥∃⊬8A7)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1054,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5690,"base":16},"right_expr":{"type":"numeric_atoms","value":2215,"base":16}}},"used_operators":["DyGG3AbaNP","9ICcGScMcE","NTOWxs364D"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1054","layer":2},{"info":"compute unary expreesion, input=1054, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1054","layer":1},{"info":"number node, value=5690","layer":2},{"info":"number node, value=2215","layer":2},{"info":"compute binary expreesion, left_input=5690, right_input=2215, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8026","layer":1},{"info":"compute binary expreesion, left_input=1054, right_input=-8026, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬41E)∼(∃⊬163A⩚⊴⇥∃⊬8A7)=NaN","reverse_text":"NaN=(≦∁∃⊬41E)∼(∃⊬163A⩚⊴⇥∃⊬8A7)","cot":[{"info":"≦∁∃⊬41E=∃⊬41E","layer":1},{"info":"∃⊬163A⩚⊴⇥∃⊬8A7=∃⊬-1F5A","layer":1},{"info":"∃⊬41E∼∃⊬-1F5A=NaN","layer":0}]}
+{"id":699,"expression_no_base_symbol":"$3548$⊴$5615$⫸⊐$1653$∀⇚≩$3565$","expression":"∃⊬DDC⊴∃⊬15EF⫸⊐∃⊬675∀⇚≩∃⊬DED","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17196,"operation_count":3,"complexity_ratio":5732.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3548,"base":16},"right_expr":{"type":"numeric_atoms","value":5615,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1653,"base":16},"right_expr":{"type":"numeric_atoms","value":3565,"base":16}}},"used_operators":["mqXw5SEYmG","Nsiff2A1zJ","LRNGc0VcxI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3548","layer":2},{"info":"number node, value=5615","layer":2},{"info":"compute binary expreesion, left_input=3548, right_input=5615, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1653","layer":2},{"info":"number node, value=3565","layer":2},{"info":"compute binary expreesion, left_input=1653, right_input=3565, 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 = 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":16,"result_base":16,"text":"∃⊬DDC⊴∃⊬15EF⫸⊐∃⊬675∀⇚≩∃⊬DED=NaN","reverse_text":"NaN=∃⊬DDC⊴∃⊬15EF⫸⊐∃⊬675∀⇚≩∃⊬DED","cot":[{"info":"∃⊬DDC⊴∃⊬15EF=NaN","layer":1},{"info":"∃⊬675∀⇚≩∃⊬DED=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
+{"id":700,"expression_no_base_symbol":"↯⪼($2311$⋫)","expression":"↯⪼(∃⊬907⋫)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2342,"operation_count":2,"complexity_ratio":1171.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2311,"base":16}}},"used_operators":["8jW3W4yZS5","JL8yIekQnl"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2311","layer":2},{"info":"compute unary expreesion, input=2311, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2311","layer":1},{"info":"compute unary expreesion, input=2311, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∃⊬907⋫)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(∃⊬907⋫)","cot":[{"info":"∃⊬907⋫=∃⊬907","layer":1},{"info":"↯⪼∃⊬907=∃⊬-15","layer":0}]}
+{"id":701,"expression_no_base_symbol":"($1659$≫≃)*$6091$⫥∨⫟$1132$","expression":"(∃⊬67B≫≃)*∃⊬17CB⫥∨⫟∃⊬46C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1659,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6091,"base":16},"right_expr":{"type":"numeric_atoms","value":1132,"base":16}}},"used_operators":["9HNa5Wba9A","X99M06cbEe","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1659","layer":2},{"info":"compute unary expreesion, input=1659, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4719","layer":1},{"info":"number node, value=6091","layer":2},{"info":"number node, value=1132","layer":2},{"info":"compute binary expreesion, left_input=6091, right_input=1132, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4719, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬67B≫≃)*∃⊬17CB⫥∨⫟∃⊬46C=NaN","reverse_text":"NaN=(∃⊬67B≫≃)*∃⊬17CB⫥∨⫟∃⊬46C","cot":[{"info":"∃⊬67B≫≃=∃⊬126F","layer":1},{"info":"∃⊬17CB⫥∨⫟∃⊬46C=NaN","layer":1},{"info":"∃⊬126F*NaN=NaN","layer":0}]}
+{"id":702,"expression_no_base_symbol":"($4093$∲⫓$1172$)↙$1512$⪘⫢$1249$","expression":"(∃⊬FFD∲⫓∃⊬494)↙∃⊬5E8⪘⫢∃⊬4E1","highest_n_order":3,"priority_hierarchical_complexity":3,"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":4093,"base":16},"right_expr":{"type":"numeric_atoms","value":1172,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1512,"base":16},"right_expr":{"type":"numeric_atoms","value":1249,"base":16}}},"used_operators":["yyfyN0ffXY","i8ToyICDmI","oacrs7FA3X"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4093","layer":2},{"info":"number node, value=1172","layer":2},{"info":"compute binary expreesion, left_input=4093, right_input=1172, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1512","layer":2},{"info":"number node, value=1249","layer":2},{"info":"compute binary expreesion, left_input=1512, right_input=1249, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2900","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2900, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬FFD∲⫓∃⊬494)↙∃⊬5E8⪘⫢∃⊬4E1=∃⊬0","reverse_text":"∃⊬0=(∃⊬FFD∲⫓∃⊬494)↙∃⊬5E8⪘⫢∃⊬4E1","cot":[{"info":"∃⊬FFD∲⫓∃⊬494=∃⊬0","layer":1},{"info":"∃⊬5E8⪘⫢∃⊬4E1=∃⊬B54","layer":1},{"info":"∃⊬0↙∃⊬B54=∃⊬0","layer":0}]}
+{"id":703,"expression_no_base_symbol":"($3035$⨰$3879$)↬($1617$⪒$4806$)","expression":"(∃⊬BDB⨰∃⊬F27)↬(∃⊬651⪒∃⊬12C6)","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":3035,"base":16},"right_expr":{"type":"numeric_atoms","value":3879,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1617,"base":16},"right_expr":{"type":"numeric_atoms","value":4806,"base":16}}},"used_operators":["B5M0gjZbta","eewbuw0ToL","f6k1SAg4EE"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3035","layer":2},{"info":"number node, value=3879","layer":2},{"info":"compute binary expreesion, left_input=3035, right_input=3879, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-834","layer":1},{"info":"number node, value=1617","layer":2},{"info":"number node, value=4806","layer":2},{"info":"compute binary expreesion, left_input=1617, right_input=4806, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6423","layer":1},{"info":"compute binary expreesion, left_input=-834, right_input=-6423, 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":16,"result_base":16,"text":"(∃⊬BDB⨰∃⊬F27)↬(∃⊬651⪒∃⊬12C6)=NaN","reverse_text":"NaN=(∃⊬BDB⨰∃⊬F27)↬(∃⊬651⪒∃⊬12C6)","cot":[{"info":"∃⊬BDB⨰∃⊬F27=∃⊬-342","layer":1},{"info":"∃⊬651⪒∃⊬12C6=∃⊬-1917","layer":1},{"info":"∃⊬-342↬∃⊬-1917=NaN","layer":0}]}
+{"id":704,"expression_no_base_symbol":"($6687$⨳⩥⨓$1155$)⨟⋌⩍($2109$≎⊠⪸$1840$)","expression":"(∃⊬1A1F⨳⩥⨓∃⊬483)⨟⋌⩍(∃⊬83D≎⊠⪸∃⊬730)","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":6687,"base":16},"right_expr":{"type":"numeric_atoms","value":1155,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2109,"base":16},"right_expr":{"type":"numeric_atoms","value":1840,"base":16}}},"used_operators":["rGHVDoGpnC","nCS4ZIUYfx","bJkvcejdHO"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6687","layer":2},{"info":"number node, value=1155","layer":2},{"info":"compute binary expreesion, left_input=6687, right_input=1155, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5532","layer":1},{"info":"number node, value=2109","layer":2},{"info":"number node, value=1840","layer":2},{"info":"compute binary expreesion, left_input=2109, right_input=1840, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=545758","layer":1},{"info":"compute binary expreesion, left_input=-5532, right_input=545758, 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":16,"result_base":16,"text":"(∃⊬1A1F⨳⩥⨓∃⊬483)⨟⋌⩍(∃⊬83D≎⊠⪸∃⊬730)=NaN","reverse_text":"NaN=(∃⊬1A1F⨳⩥⨓∃⊬483)⨟⋌⩍(∃⊬83D≎⊠⪸∃⊬730)","cot":[{"info":"∃⊬1A1F⨳⩥⨓∃⊬483=∃⊬-159C","layer":1},{"info":"∃⊬83D≎⊠⪸∃⊬730=∃⊬853DE","layer":1},{"info":"∃⊬-159C⨟⋌⩍∃⊬853DE=NaN","layer":0}]}
+{"id":705,"expression_no_base_symbol":"$4857$↬$1449$⨰($1465$↙$6798$)","expression":"∃⊬12F9↬∃⊬5A9⨰(∃⊬5B9↙∃⊬1A8E)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6808,"operation_count":3,"complexity_ratio":2269.3333333333335,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4857,"base":16},"right_expr":{"type":"numeric_atoms","value":1449,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1465,"base":16},"right_expr":{"type":"numeric_atoms","value":6798,"base":16}}},"used_operators":["eewbuw0ToL","B5M0gjZbta","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4857","layer":2},{"info":"number node, value=1449","layer":2},{"info":"compute binary expreesion, left_input=4857, right_input=1449, 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=1465","layer":2},{"info":"number node, value=6798","layer":2},{"info":"compute binary expreesion, left_input=1465, right_input=6798, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20394","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20394, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬12F9↬∃⊬5A9⨰(∃⊬5B9↙∃⊬1A8E)=NaN","reverse_text":"NaN=∃⊬12F9↬∃⊬5A9⨰(∃⊬5B9↙∃⊬1A8E)","cot":[{"info":"∃⊬12F9↬∃⊬5A9=NaN","layer":1},{"info":"∃⊬5B9↙∃⊬1A8E=∃⊬-4FAA","layer":1},{"info":"NaN⨰∃⊬-4FAA=NaN","layer":0}]}
+{"id":706,"expression_no_base_symbol":"($4001$⪒$2977$)≧⫂∧($6254$⨳⩥⨓$1718$)","expression":"(∃⊬FA1⪒∃⊬BA1)≧⫂∧(∃⊬186E⨳⩥⨓∃⊬6B6)","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":4001,"base":16},"right_expr":{"type":"numeric_atoms","value":2977,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6254,"base":16},"right_expr":{"type":"numeric_atoms","value":1718,"base":16}}},"used_operators":["Ph9nP6C5qx","f6k1SAg4EE","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬-98A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4001","layer":2},{"info":"number node, value=2977","layer":2},{"info":"compute binary expreesion, left_input=4001, right_input=2977, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6978","layer":1},{"info":"number node, value=6254","layer":2},{"info":"number node, value=1718","layer":2},{"info":"compute binary expreesion, left_input=6254, right_input=1718, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4536","layer":1},{"info":"compute binary expreesion, left_input=-6978, right_input=-4536, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-2442","layer":0}],"base":16,"result_base":16,"text":"(∃⊬FA1⪒∃⊬BA1)≧⫂∧(∃⊬186E⨳⩥⨓∃⊬6B6)=∃⊬-98A","reverse_text":"∃⊬-98A=(∃⊬FA1⪒∃⊬BA1)≧⫂∧(∃⊬186E⨳⩥⨓∃⊬6B6)","cot":[{"info":"∃⊬FA1⪒∃⊬BA1=∃⊬-1B42","layer":1},{"info":"∃⊬186E⨳⩥⨓∃⊬6B6=∃⊬-11B8","layer":1},{"info":"∃⊬-1B42≧⫂∧∃⊬-11B8=∃⊬-98A","layer":0}]}
+{"id":707,"expression_no_base_symbol":"(↯⪼$5514$)⇼⇔∾$1814$⨐⩸⫘$1936$","expression":"(↯⪼∃⊬158A)⇼⇔∾∃⊬716⨐⩸⫘∃⊬790","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5514,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1814,"base":16},"right_expr":{"type":"numeric_atoms","value":1936,"base":16}}},"used_operators":["tifHPKVTfV","8jW3W4yZS5","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5514","layer":2},{"info":"compute unary expreesion, input=5514, 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=1814","layer":2},{"info":"number node, value=1936","layer":2},{"info":"compute binary expreesion, left_input=1814, right_input=1936, 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=-21, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↯⪼∃⊬158A)⇼⇔∾∃⊬716⨐⩸⫘∃⊬790=NaN","reverse_text":"NaN=(↯⪼∃⊬158A)⇼⇔∾∃⊬716⨐⩸⫘∃⊬790","cot":[{"info":"↯⪼∃⊬158A=∃⊬-15","layer":1},{"info":"∃⊬716⨐⩸⫘∃⊬790=NaN","layer":1},{"info":"∃⊬-15⇼⇔∾NaN=NaN","layer":0}]}
+{"id":708,"expression_no_base_symbol":"$1333$⨟⋌⩍$1800$⩨$2131$↬$5748$","expression":"∃⊬535⨟⋌⩍∃⊬708⩨∃⊬853↬∃⊬1674","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":1333,"base":16},"right_expr":{"type":"numeric_atoms","value":1800,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2131,"base":16},"right_expr":{"type":"numeric_atoms","value":5748,"base":16}}},"used_operators":["2DlMacCsIx","rGHVDoGpnC","B5M0gjZbta"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1333","layer":2},{"info":"number node, value=1800","layer":2},{"info":"compute binary expreesion, left_input=1333, right_input=1800, 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=2131","layer":2},{"info":"number node, value=5748","layer":2},{"info":"compute binary expreesion, left_input=2131, right_input=5748, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬535⨟⋌⩍∃⊬708⩨∃⊬853↬∃⊬1674=NaN","reverse_text":"NaN=∃⊬535⨟⋌⩍∃⊬708⩨∃⊬853↬∃⊬1674","cot":[{"info":"∃⊬535⨟⋌⩍∃⊬708=NaN","layer":1},{"info":"∃⊬853↬∃⊬1674=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
+{"id":709,"expression_no_base_symbol":"⋗⩬⋾(↥$2631$)","expression":"⋗⩬⋾(↥∃⊬A47)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":54,"operation_count":2,"complexity_ratio":27.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2631,"base":16}}},"used_operators":["DpFCA1CohY","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"∃⊬-5A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2631","layer":2},{"info":"compute unary expreesion, input=2631, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":1},{"info":"compute unary expreesion, input=30, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-90","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾(↥∃⊬A47)=∃⊬-5A","reverse_text":"∃⊬-5A=⋗⩬⋾(↥∃⊬A47)","cot":[{"info":"↥∃⊬A47=∃⊬1E","layer":1},{"info":"⋗⩬⋾∃⊬1E=∃⊬-5A","layer":0}]}
+{"id":710,"expression_no_base_symbol":"($3682$+$2513$)⪐","expression":"(∃⊬E62+∃⊬9D1)⪐","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":3682,"base":16},"right_expr":{"type":"numeric_atoms","value":2513,"base":16}}},"used_operators":["eH2TOUuTDT","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬3066","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3682","layer":2},{"info":"number node, value=2513","layer":2},{"info":"compute binary expreesion, left_input=3682, right_input=2513, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6195","layer":1},{"info":"compute unary expreesion, input=6195, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=12390","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E62+∃⊬9D1)⪐=∃⊬3066","reverse_text":"∃⊬3066=(∃⊬E62+∃⊬9D1)⪐","cot":[{"info":"∃⊬E62+∃⊬9D1=∃⊬1833","layer":1},{"info":"∃⊬1833⪐=∃⊬3066","layer":0}]}
+{"id":711,"expression_no_base_symbol":"(≤/$1172$)∧","expression":"(≤/∃⊬494)∧","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":1172,"base":16}}},"used_operators":["z63VuFQld9","eLAdDNolq6"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1172","layer":2},{"info":"compute unary expreesion, input=1172, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-688","layer":1},{"info":"compute unary expreesion, input=-688, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(≤/∃��494)∧=∃⊬0","reverse_text":"∃⊬0=(≤/∃⊬494)∧","cot":[{"info":"≤/∃⊬494=∃⊬-2B0","layer":1},{"info":"∃⊬-2B0∧=∃⊬0","layer":0}]}
+{"id":712,"expression_no_base_symbol":"($1401$⩨$6083$)∀⇚≩($4665$⊘)","expression":"(∃⊬579⩨∃⊬17C3)∀⇚≩(∃⊬1239⊘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":110,"operation_count":3,"complexity_ratio":36.666666666666664,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1401,"base":16},"right_expr":{"type":"numeric_atoms","value":6083,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4665,"base":16}}},"used_operators":["LRNGc0VcxI","2DlMacCsIx","gu96TGCTMs"],"dependent_operators":["X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"∃⊬1D2E2D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1401","layer":2},{"info":"number node, value=6083","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=6083, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":1},{"info":"number node, value=4665","layer":2},{"info":"compute unary expreesion, input=4665, 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=-12, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=1912365","layer":0}],"base":16,"result_base":16,"text":"(∃⊬579⩨∃⊬17C3)∀⇚≩(∃⊬1239⊘)=∃⊬1D2E2D","reverse_text":"∃⊬1D2E2D=(∃⊬579⩨∃⊬17C3)∀⇚≩(∃⊬1239⊘)","cot":[{"info":"∃⊬579⩨∃⊬17C3=∃⊬-C","layer":1},{"info":"∃⊬1239⊘=∃⊬0","layer":1},{"info":"∃⊬-C∀⇚≩∃⊬0=∃⊬1D2E2D","layer":0}]}
+{"id":713,"expression_no_base_symbol":"($1389$⪨≂$3563$)⋝⋈⪟($2549$⋷$6419$)","expression":"(∃⊬56D⪨≂∃⊬DEB)⋝⋈⪟(∃⊬9F5⋷∃⊬1913)","highest_n_order":1,"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":1389,"base":16},"right_expr":{"type":"numeric_atoms","value":3563,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2549,"base":16},"right_expr":{"type":"numeric_atoms","value":6419,"base":16}}},"used_operators":["2DDjHMKMc0","sdazOOVcIp","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1096","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1389","layer":2},{"info":"number node, value=3563","layer":2},{"info":"compute binary expreesion, left_input=1389, right_input=3563, 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=-4246","layer":1},{"info":"number node, value=2549","layer":2},{"info":"number node, value=6419","layer":2},{"info":"compute binary expreesion, left_input=2549, right_input=6419, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10289","layer":1},{"info":"compute binary expreesion, left_input=-4246, right_input=10289, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-4246","layer":0}],"base":16,"result_base":16,"text":"(∃⊬56D⪨≂∃⊬DEB)⋝⋈⪟(∃⊬9F5⋷∃⊬1913)=∃⊬-1096","reverse_text":"∃⊬-1096=(∃⊬56D⪨≂∃⊬DEB)⋝⋈⪟(∃⊬9F5⋷∃⊬1913)","cot":[{"info":"∃⊬56D⪨≂∃⊬DEB=∃⊬-1096","layer":1},{"info":"∃⊬9F5⋷∃⊬1913=∃⊬2831","layer":1},{"info":"∃⊬-1096⋝⋈⪟∃⊬2831=∃⊬-1096","layer":0}]}
+{"id":714,"expression_no_base_symbol":"$2677$⇷$1986$↺(⨵≀≌$1403$)","expression":"∃⊬A75⇷∃⊬7C2↺(⨵≀≌∃⊬57B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37489,"operation_count":3,"complexity_ratio":12496.333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2677,"base":16},"right_expr":{"type":"numeric_atoms","value":1986,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1403,"base":16}}},"used_operators":["7j4O788W3g","mp7IySMOzn","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"∃⊬-1071","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2677","layer":2},{"info":"number node, value=1986","layer":2},{"info":"compute binary expreesion, left_input=2677, right_input=1986, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3972","layer":1},{"info":"number node, value=1403","layer":2},{"info":"compute unary expreesion, input=1403, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4209","layer":1},{"info":"compute binary expreesion, left_input=3972, right_input=-4209, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4209","layer":0}],"base":16,"result_base":16,"text":"∃⊬A75⇷∃⊬7C2↺(⨵≀≌∃⊬57B)=∃⊬-1071","reverse_text":"∃⊬-1071=∃⊬A75⇷∃⊬7C2↺(⨵≀≌∃⊬57B)","cot":[{"info":"∃⊬A75⇷∃⊬7C2=∃⊬F84","layer":1},{"info":"⨵≀≌∃⊬57B=∃⊬-1071","layer":1},{"info":"∃⊬F84↺∃⊬-1071=∃⊬-1071","layer":0}]}
+{"id":715,"expression_no_base_symbol":"($1876$∲⫓$6692$)∲⫓$2977$∀⇚≩$1048$","expression":"(∃⊬754∲⫓∃⊬1A24)∲⫓∃⊬BA1∀⇚≩∃⊬418","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20843,"operation_count":3,"complexity_ratio":6947.666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1876,"base":16},"right_expr":{"type":"numeric_atoms","value":6692,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2977,"base":16},"right_expr":{"type":"numeric_atoms","value":1048,"base":16}}},"used_operators":["i8ToyICDmI","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1876","layer":2},{"info":"number node, value=6692","layer":2},{"info":"compute binary expreesion, left_input=1876, right_input=6692, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2977","layer":2},{"info":"number node, value=1048","layer":2},{"info":"compute binary expreesion, left_input=2977, right_input=1048, 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=0, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬754∲⫓∃⊬1A24)∲⫓∃⊬BA1∀⇚≩∃⊬418=NaN","reverse_text":"NaN=(∃⊬754∲⫓∃⊬1A24)∲⫓∃⊬BA1∀⇚≩∃⊬418","cot":[{"info":"∃⊬754∲⫓∃⊬1A24=∃⊬0","layer":1},{"info":"∃⊬BA1∀⇚≩∃⊬418=NaN","layer":1},{"info":"∃⊬0∲⫓NaN=NaN","layer":0}]}
+{"id":716,"expression_no_base_symbol":"($3523$⨽$3617$)+⇶⊼($1565$⪐)","expression":"(∃⊬DC3⨽∃⊬E21)+⇶⊼(∃⊬61D⪐)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3535,"operation_count":3,"complexity_ratio":1178.3333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3523,"base":16},"right_expr":{"type":"numeric_atoms","value":3617,"base":16}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1565,"base":16}}},"used_operators":["TpPTUOHfaN","8HhzD0ZcuI","eH2TOUuTDT"],"dependent_operators":["AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3523","layer":2},{"info":"number node, value=3617","layer":2},{"info":"compute binary expreesion, left_input=3523, right_input=3617, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-37244124","layer":1},{"info":"number node, value=1565","layer":2},{"info":"compute unary expreesion, input=1565, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3130","layer":1},{"info":"compute binary expreesion, left_input=-37244124, right_input=3130, 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":16,"result_base":16,"text":"(∃⊬DC3⨽∃⊬E21)+⇶⊼(∃⊬61D⪐)=NaN","reverse_text":"NaN=(���⊬DC3⨽∃⊬E21)+⇶⊼(∃⊬61D⪐)","cot":[{"info":"∃⊬DC3⨽∃⊬E21=∃⊬-2384CDC","layer":1},{"info":"∃⊬61D⪐=∃⊬C3A","layer":1},{"info":"∃⊬-2384CDC+⇶⊼∃⊬C3A=NaN","layer":0}]}
+{"id":717,"expression_no_base_symbol":"(⋗⩬⋾$1637$)↺($7047$⪄$1089$)","expression":"(⋗⩬⋾∃⊬665)↺(∃⊬1B87⪄∃⊬441)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":100,"operation_count":3,"complexity_ratio":33.333333333333336,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1637,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7047,"base":16},"right_expr":{"type":"numeric_atoms","value":1089,"base":16}}},"used_operators":["7j4O788W3g","DpFCA1CohY","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬-FEBC9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1637","layer":2},{"info":"compute unary expreesion, input=1637, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4911","layer":1},{"info":"number node, value=7047","layer":2},{"info":"number node, value=1089","layer":2},{"info":"compute binary expreesion, left_input=7047, right_input=1089, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1043401","layer":1},{"info":"compute binary expreesion, left_input=-4911, right_input=-1043401, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1043401","layer":0}],"base":16,"result_base":16,"text":"(⋗⩬⋾∃⊬665)↺(∃⊬1B87⪄∃⊬441)=∃⊬-FEBC9","reverse_text":"∃⊬-FEBC9=(⋗⩬⋾∃⊬665)↺(∃⊬1B87⪄∃⊬441)","cot":[{"info":"⋗⩬⋾∃⊬665=∃⊬-132F","layer":1},{"info":"∃⊬1B87⪄∃⊬441=∃⊬-FEBC9","layer":1},{"info":"∃⊬-132F↺∃⊬-FEBC9=∃⊬-FEBC9","layer":0}]}
+{"id":718,"expression_no_base_symbol":"($1555$⪨≂$4637$)⊴($5186$⫡⨏$2068$)","expression":"(∃⊬613⪨≂∃⊬121D)⊴(∃⊬1442⫡⨏∃⊬814)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31537,"operation_count":3,"complexity_ratio":10512.333333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1555,"base":16},"right_expr":{"type":"numeric_atoms","value":4637,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5186,"base":16},"right_expr":{"type":"numeric_atoms","value":2068,"base":16}}},"used_operators":["Nsiff2A1zJ","sdazOOVcIp","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":2},{"info":"number node, value=4637","layer":2},{"info":"compute binary expreesion, left_input=1555, right_input=4637, 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=-6062","layer":1},{"info":"number node, value=5186","layer":2},{"info":"number node, value=2068","layer":2},{"info":"compute binary expreesion, left_input=5186, right_input=2068, 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=30849","layer":1},{"info":"compute binary expreesion, left_input=-6062, right_input=30849, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬613⪨≂∃⊬121D)⊴(∃⊬1442⫡⨏∃⊬814)=NaN","reverse_text":"NaN=(∃⊬613⪨≂∃⊬121D)⊴(∃⊬1442⫡⨏∃⊬814)","cot":[{"info":"∃⊬613⪨≂∃⊬121D=∃⊬-17AE","layer":1},{"info":"∃⊬1442⫡⨏∃⊬814=∃⊬7881","layer":1},{"info":"∃⊬-17AE⊴∃⊬7881=NaN","layer":0}]}
+{"id":719,"expression_no_base_symbol":"$1466$≹⇙⪍$1915$⪐","expression":"∃⊬5BA≹⇙⪍∃⊬77B⪐","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":1466,"base":16},"right_expr":{"type":"numeric_atoms","value":1915,"base":16}}},"used_operators":["eH2TOUuTDT","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1466","layer":2},{"info":"number node, value=1915","layer":2},{"info":"compute binary expreesion, left_input=1466, right_input=1915, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬5BA≹⇙⪍∃⊬77B⪐=NaN","reverse_text":"NaN=∃⊬5BA≹⇙⪍∃⊬77B⪐","cot":[{"info":"∃⊬5BA≹⇙⪍∃⊬77B=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
+{"id":720,"expression_no_base_symbol":"$4754$⪢$5378$∲⫓$8577$⊴$3576$","expression":"∃⊬1292⪢∃⊬1502∲⫓∃⊬2181⊴∃⊬DF8","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10711,"operation_count":3,"complexity_ratio":3570.3333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4754,"base":16},"right_expr":{"type":"numeric_atoms","value":5378,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8577,"base":16},"right_expr":{"type":"numeric_atoms","value":3576,"base":16}}},"used_operators":["i8ToyICDmI","dWAJyo7jo9","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4754","layer":2},{"info":"number node, value=5378","layer":2},{"info":"compute binary expreesion, left_input=4754, right_input=5378, 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=8577","layer":2},{"info":"number node, value=3576","layer":2},{"info":"compute binary expreesion, left_input=8577, right_input=3576, 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":16,"result_base":16,"text":"∃⊬1292⪢∃⊬1502∲⫓∃⊬2181⊴∃⊬DF8=NaN","reverse_text":"NaN=∃⊬1292⪢∃⊬1502∲⫓∃⊬2181⊴∃⊬DF8","cot":[{"info":"∃⊬1292⪢∃⊬1502=NaN","layer":1},{"info":"∃⊬2181⊴∃⊬DF8=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
+{"id":721,"expression_no_base_symbol":"(↣≠⋷$3948$)↺($2768$⋷$3821$)","expression":"(↣≠⋷∃⊬F6C)↺(∃⊬AD0⋷∃⊬EED)","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":3948,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2768,"base":16},"right_expr":{"type":"numeric_atoms","value":3821,"base":16}}},"used_operators":["7j4O788W3g","Asc51vEJeQ","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬130A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3948","layer":2},{"info":"compute unary expreesion, input=3948, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=2768","layer":2},{"info":"number node, value=3821","layer":2},{"info":"compute binary expreesion, left_input=2768, right_input=3821, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4874","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4874, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4874","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷∃⊬F6C)↺(∃⊬AD0⋷∃⊬EED)=∃⊬130A","reverse_text":"∃⊬130A=(↣≠⋷∃⊬F6C)↺(∃⊬AD0⋷∃⊬EED)","cot":[{"info":"↣≠⋷∃⊬F6C=NaN","layer":1},{"info":"∃⊬AD0⋷∃⊬EED=∃⊬130A","layer":1},{"info":"NaN↺∃⊬130A=∃⊬130A","layer":0}]}
+{"id":722,"expression_no_base_symbol":"$2844$⨟⋌⩍$1671$⨪↰⇹($3871$∑⇟⊟$7013$)","expression":"∃⊬B1C⨟⋌⩍∃⊬687⨪↰⇹(∃⊬F1F∑⇟⊟∃⊬1B65)","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":2844,"base":16},"right_expr":{"type":"numeric_atoms","value":1671,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3871,"base":16},"right_expr":{"type":"numeric_atoms","value":7013,"base":16}}},"used_operators":["tmPS8pqC7x","rGHVDoGpnC","U7g4x0WXJJ"],"dependent_operators":["rJVOvQCfKK","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2844","layer":2},{"info":"number node, value=1671","layer":2},{"info":"compute binary expreesion, left_input=2844, right_input=1671, 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=3871","layer":2},{"info":"number node, value=7013","layer":2},{"info":"compute binary expreesion, left_input=3871, right_input=7013, 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 = 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":16,"result_base":16,"text":"∃⊬B1C⨟⋌⩍∃⊬687⨪↰⇹(∃⊬F1F∑⇟⊟∃⊬1B65)=NaN","reverse_text":"NaN=∃⊬B1C⨟⋌⩍∃⊬687⨪↰⇹(∃⊬F1F∑⇟⊟∃⊬1B65)","cot":[{"info":"∃⊬B1C⨟⋌⩍∃⊬687=NaN","layer":1},{"info":"∃⊬F1F∑⇟⊟∃⊬1B65=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
+{"id":723,"expression_no_base_symbol":"(↯⪼$4688$)≋⫹","expression":"(↯⪼∃⊬1250)≋⫹","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4688,"base":16}}},"used_operators":["N41Kp7NANJ","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬2A","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4688","layer":2},{"info":"compute unary expreesion, input=4688, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=42","layer":0}],"base":16,"result_base":16,"text":"(↯⪼∃⊬1250)≋⫹=∃⊬2A","reverse_text":"∃⊬2A=(↯⪼∃⊬1250)≋⫹","cot":[{"info":"↯⪼∃⊬1250=∃⊬-15","layer":1},{"info":"∃⊬-15≋⫹=∃⊬2A","layer":0}]}
+{"id":724,"expression_no_base_symbol":"$1390$⫡⨏$7814$/(∂$3517$)","expression":"∃⊬56E⫡⨏∃⊬1E86/(∂∃⊬DBD)","highest_n_order":5,"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":1390,"base":16},"right_expr":{"type":"numeric_atoms","value":7814,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3517,"base":16}}},"used_operators":["XhwjNDsVaA","QMFrweE19q","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1390","layer":2},{"info":"number node, value=7814","layer":2},{"info":"compute binary expreesion, left_input=1390, right_input=7814, 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=23361","layer":1},{"info":"number node, value=3517","layer":2},{"info":"compute unary expreesion, input=3517, 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=23361, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬56E⫡⨏∃⊬1E86/(∂∃⊬DBD)=NaN","reverse_text":"NaN=∃⊬56E⫡⨏∃⊬1E86/(∂∃⊬DBD)","cot":[{"info":"∃⊬56E⫡⨏∃⊬1E86=∃⊬5B41","layer":1},{"info":"∂∃⊬DBD=NaN","layer":1},{"info":"∃⊬5B41/NaN=NaN","layer":0}]}
+{"id":725,"expression_no_base_symbol":"$3450$⫥∨⫟$3913$-(∥⊫$1668$)","expression":"∃⊬D7A⫥∨⫟∃⊬F49-(∥⊫∃⊬684)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":159,"operation_count":3,"complexity_ratio":53.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3450,"base":16},"right_expr":{"type":"numeric_atoms","value":3913,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1668,"base":16}}},"used_operators":["rysDP5nf3Z","KYD54nUTWz","P8v4zCKN1o"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3450","layer":2},{"info":"number node, value=3913","layer":2},{"info":"compute binary expreesion, left_input=3450, right_input=3913, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1668","layer":2},{"info":"compute unary expreesion, input=1668, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2536","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2536, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬D7A⫥∨⫟∃⊬F49-(∥⊫∃⊬684)=NaN","reverse_text":"NaN=∃⊬D7A⫥∨⫟∃⊬F49-(∥⊫∃⊬684)","cot":[{"info":"∃⊬D7A⫥∨⫟∃⊬F49=NaN","layer":1},{"info":"∥⊫∃⊬684=∃⊬9E8","layer":1},{"info":"NaN-∃⊬9E8=NaN","layer":0}]}
+{"id":726,"expression_no_base_symbol":"⫓⪴($2617$⋷$3646$)","expression":"⫓⪴(∃⊬A39⋷∃⊬E3E)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4678,"operation_count":2,"complexity_ratio":2339.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2617,"base":16},"right_expr":{"type":"numeric_atoms","value":3646,"base":16}}},"used_operators":["eLxqMNBOBk","23Mk6UjR3U"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬14D7D89","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2617","layer":2},{"info":"number node, value=3646","layer":2},{"info":"compute binary expreesion, left_input=2617, right_input=3646, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4675","layer":1},{"info":"compute unary expreesion, input=4675, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21855625","layer":0}],"base":16,"result_base":16,"text":"⫓⪴(∃⊬A39⋷∃⊬E3E)=∃⊬14D7D89","reverse_text":"∃⊬14D7D89=⫓⪴(∃⊬A39⋷∃⊬E3E)","cot":[{"info":"∃⊬A39⋷∃⊬E3E=∃⊬1243","layer":1},{"info":"⫓⪴∃⊬1243=∃⊬14D7D89","layer":0}]}
+{"id":727,"expression_no_base_symbol":"⨈⫕($1771$/$1355$)","expression":"⨈⫕(∃⊬6EB/∃⊬54B)","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":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1771,"base":16},"right_expr":{"type":"numeric_atoms","value":1355,"base":16}}},"used_operators":["megm06wKyl","XhwjNDsVaA"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1771","layer":2},{"info":"number node, value=1355","layer":2},{"info":"compute binary expreesion, left_input=1771, right_input=1355, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"⨈⫕(∃⊬6EB/∃⊬54B)=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕(∃⊬6EB/∃⊬54B)","cot":[{"info":"∃⊬6EB/∃⊬54B=∃⊬1","layer":1},{"info":"⨈⫕∃⊬1=∃⊬-15","layer":0}]}
+{"id":728,"expression_no_base_symbol":"⪲⇎$5933$⩷∴$5100$","expression":"⪲⇎∃⊬172D⩷∴∃⊬13EC","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":5933,"base":16},"right_expr":{"type":"numeric_atoms","value":5100,"base":16}}},"used_operators":["XPYlsWDdGa","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬CC4","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5933","layer":2},{"info":"number node, value=5100","layer":2},{"info":"compute binary expreesion, left_input=5933, right_input=5100, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1634","layer":1},{"info":"compute unary expreesion, input=1634, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3268","layer":0}],"base":16,"result_base":16,"text":"⪲⇎∃⊬172D⩷∴∃⊬13EC=∃⊬CC4","reverse_text":"∃⊬CC4=⪲⇎∃⊬172D⩷∴∃⊬13EC","cot":[{"info":"∃⊬172D⩷∴∃⊬13EC=∃⊬662","layer":1},{"info":"⪲⇎∃⊬662=∃⊬CC4","layer":0}]}
+{"id":729,"expression_no_base_symbol":"↯⪼($3066$⫡⨏$4752$)","expression":"↯⪼(∃⊬BFA⫡⨏∃⊬1290)","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":3066,"base":16},"right_expr":{"type":"numeric_atoms","value":4752,"base":16}}},"used_operators":["8jW3W4yZS5","QMFrweE19q"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3066","layer":2},{"info":"number node, value=4752","layer":2},{"info":"compute binary expreesion, left_input=3066, right_input=4752, 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=25617","layer":1},{"info":"compute unary expreesion, input=25617, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∃⊬BFA⫡⨏∃⊬1290)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(∃⊬BFA⫡⨏∃⊬1290)","cot":[{"info":"∃⊬BFA⫡⨏∃⊬1290=∃⊬6411","layer":1},{"info":"↯⪼∃⊬6411=∃⊬-15","layer":0}]}
+{"id":730,"expression_no_base_symbol":"↯⪼($7981$⇼⇔∾$1169$)","expression":"↯⪼(∃⊬1F2D⇼⇔∾∃⊬491)","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":7981,"base":16},"right_expr":{"type":"numeric_atoms","value":1169,"base":16}}},"used_operators":["8jW3W4yZS5","tifHPKVTfV"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬31A3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7981","layer":2},{"info":"number node, value=1169","layer":2},{"info":"compute binary expreesion, left_input=7981, right_input=1169, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6812","layer":1},{"info":"compute unary expreesion, input=-6812, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=12707","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∃⊬1F2D⇼⇔∾∃⊬491)=∃⊬31A3","reverse_text":"∃⊬31A3=↯⪼(∃⊬1F2D⇼⇔∾∃⊬491)","cot":[{"info":"∃⊬1F2D⇼⇔∾∃⊬491=∃⊬-1A9C","layer":1},{"info":"↯⪼∃⊬-1A9C=∃⊬31A3","layer":0}]}
+{"id":731,"expression_no_base_symbol":"⨑⩽⪐(⊄⩳↩$1717$)","expression":"⨑⩽⪐(⊄⩳↩∃⊬6B5)","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":1717,"base":16}}},"used_operators":["AF7qkfDlqP","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬2B53","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1717","layer":2},{"info":"compute unary expreesion, input=1717, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5151","layer":1},{"info":"compute unary expreesion, input=-5151, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=11091","layer":0}],"base":16,"result_base":16,"text":"⨑⩽⪐(⊄⩳↩∃⊬6B5)=∃⊬2B53","reverse_text":"∃⊬2B53=⨑⩽⪐(⊄⩳↩∃⊬6B5)","cot":[{"info":"⊄⩳↩∃⊬6B5=∃⊬-141F","layer":1},{"info":"⨑⩽⪐∃⊬-141F=∃⊬2B53","layer":0}]}
+{"id":732,"expression_no_base_symbol":"↯⪼($4182$⩚⊴⇥$1259$)","expression":"↯⪼(∃⊬1056⩚⊴⇥∃⊬4EB)","highest_n_order":2,"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":4182,"base":16},"right_expr":{"type":"numeric_atoms","value":1259,"base":16}}},"used_operators":["8jW3W4yZS5","NTOWxs364D"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬27DF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4182","layer":2},{"info":"number node, value=1259","layer":2},{"info":"compute binary expreesion, left_input=4182, right_input=1259, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5562","layer":1},{"info":"compute unary expreesion, input=-5562, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=10207","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∃⊬1056⩚⊴⇥∃⊬4EB)=∃⊬27DF","reverse_text":"∃⊬27DF=↯⪼(∃⊬1056⩚⊴⇥∃⊬4EB)","cot":[{"info":"∃⊬1056⩚⊴⇥∃⊬4EB=∃⊬-15BA","layer":1},{"info":"↯⪼∃⊬-15BA=∃⊬27DF","layer":0}]}
+{"id":733,"expression_no_base_symbol":"($1022$⫡⨏$6750$)⨳⩥⨓(↥$5760$)","expression":"(∃⊬3FE⫡⨏∃⊬1A5E)⨳⩥⨓(↥∃⊬1680)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":122,"operation_count":3,"complexity_ratio":40.666666666666664,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1022,"base":16},"right_expr":{"type":"numeric_atoms","value":6750,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5760,"base":16}}},"used_operators":["nCS4ZIUYfx","QMFrweE19q","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"∃⊬-4B91","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":2},{"info":"number node, value=6750","layer":2},{"info":"compute binary expreesion, left_input=1022, right_input=6750, 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=5760","layer":2},{"info":"compute unary expreesion, input=5760, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":1},{"info":"compute binary expreesion, left_input=19393, right_input=48, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-19345","layer":0}],"base":16,"result_base":16,"text":"(∃⊬3FE⫡⨏∃⊬1A5E)⨳⩥⨓(↥∃⊬1680)=∃⊬-4B91","reverse_text":"∃⊬-4B91=(∃⊬3FE⫡⨏∃⊬1A5E)⨳⩥⨓(↥∃⊬1680)","cot":[{"info":"∃⊬3FE⫡⨏∃⊬1A5E=∃⊬4BC1","layer":1},{"info":"↥∃⊬1680=∃⊬30","layer":1},{"info":"∃⊬4BC1⨳⩥⨓∃⊬30=∃⊬-4B91","layer":0}]}
+{"id":734,"expression_no_base_symbol":"(+⊝⨔$5451$)⋳⪒($1518$%$1102$)","expression":"(+⊝⨔∃⊬154B)⋳⪒(∃⊬5EE%∃⊬44E)","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":5451,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1518,"base":16},"right_expr":{"type":"numeric_atoms","value":1102,"base":16}}},"used_operators":["12rbrZMWeM","DhbWaqg5eL","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬925","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5451","layer":2},{"info":"compute unary expreesion, input=5451, 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=1518","layer":2},{"info":"number node, value=1102","layer":2},{"info":"compute binary expreesion, left_input=1518, right_input=1102, op_id = k8jYdgA6NY binary_op_definition= 'None', output=416","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=416, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2341","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔∃⊬154B)⋳⪒(∃⊬5EE%∃⊬44E)=∃⊬925","reverse_text":"∃⊬925=(+⊝⨔∃⊬154B)⋳⪒(∃⊬5EE%∃⊬44E)","cot":[{"info":"+⊝⨔∃⊬154B=∃⊬5F2","layer":1},{"info":"∃⊬5EE%∃⊬44E=∃⊬1A0","layer":1},{"info":"∃⊬5F2⋳⪒∃⊬1A0=∃⊬925","layer":0}]}
+{"id":735,"expression_no_base_symbol":"∥⊫($1612$⊭↱$3529$)","expression":"∥⊫(∃⊬64C⊭↱∃⊬DC9)","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":1612,"base":16},"right_expr":{"type":"numeric_atoms","value":3529,"base":16}}},"used_operators":["P8v4zCKN1o","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1263","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1612","layer":2},{"info":"number node, value=3529","layer":2},{"info":"compute binary expreesion, left_input=1612, right_input=3529, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3839","layer":1},{"info":"compute unary expreesion, input=3839, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4707","layer":0}],"base":16,"result_base":16,"text":"∥⊫(∃⊬64C⊭↱∃⊬DC9)=∃⊬1263","reverse_text":"∃⊬1263=∥⊫(∃⊬64C⊭↱∃⊬DC9)","cot":[{"info":"∃⊬64C⊭↱∃⊬DC9=∃⊬EFF","layer":1},{"info":"∥⊫∃⊬EFF=∃⊬1263","layer":0}]}
+{"id":736,"expression_no_base_symbol":"(∂$3968$)⇷$1235$⨟⋌⩍$3136$","expression":"(∂∃⊬F80)⇷∃⊬4D3⨟⋌⩍∃⊬C40","highest_n_order":5,"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":3968,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1235,"base":16},"right_expr":{"type":"numeric_atoms","value":3136,"base":16}}},"used_operators":["mp7IySMOzn","Uaa54Peajs","rGHVDoGpnC"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3968","layer":2},{"info":"compute unary expreesion, input=3968, 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=1235","layer":2},{"info":"number node, value=3136","layer":2},{"info":"compute binary expreesion, left_input=1235, right_input=3136, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∂∃⊬F80)⇷∃⊬4D3⨟⋌⩍∃⊬C40=NaN","reverse_text":"NaN=(∂∃⊬F80)⇷∃⊬4D3⨟⋌⩍∃⊬C40","cot":[{"info":"∂∃⊬F80=NaN","layer":1},{"info":"∃⊬4D3⨟⋌⩍∃⊬C40=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
+{"id":737,"expression_no_base_symbol":"$1151$⨪↰⇹$3678$≎⊠⪸$1361$≹⇙⪍$4455$","expression":"∃⊬47F⨪↰⇹∃⊬E5E≎⊠⪸∃⊬551≹⇙⪍∃⊬1167","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1163,"operation_count":3,"complexity_ratio":387.6666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1151,"base":16},"right_expr":{"type":"numeric_atoms","value":3678,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1361,"base":16},"right_expr":{"type":"numeric_atoms","value":4455,"base":16}}},"used_operators":["bJkvcejdHO","tmPS8pqC7x","AHs5Up7iyr"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","dWAJyo7jo9"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1151","layer":2},{"info":"number node, value=3678","layer":2},{"info":"compute binary expreesion, left_input=1151, right_input=3678, 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=1151","layer":1},{"info":"number node, value=1361","layer":2},{"info":"number node, value=4455","layer":2},{"info":"compute binary expreesion, left_input=1361, right_input=4455, 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=1151, 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":16,"result_base":16,"text":"∃⊬47F⨪↰⇹∃⊬E5E≎⊠⪸∃⊬551≹⇙⪍∃⊬1167=∃⊬43","reverse_text":"∃⊬43=∃⊬47F⨪↰⇹∃⊬E5E≎⊠⪸∃⊬551≹⇙⪍∃⊬1167","cot":[{"info":"∃⊬47F⨪↰⇹∃⊬E5E=∃⊬47F","layer":1},{"info":"∃⊬551≹⇙⪍∃⊬1167=NaN","layer":1},{"info":"∃⊬47F≎⊠⪸NaN=∃⊬43","layer":0}]}
+{"id":738,"expression_no_base_symbol":"(⋗⩬⋾$5670$)↺($1392$⩠)","expression":"(⋗⩬⋾∃⊬1626)↺(∃⊬570⩠)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5670,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1392,"base":16}}},"used_operators":["7j4O788W3g","DpFCA1CohY","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5670","layer":2},{"info":"compute unary expreesion, input=5670, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17010","layer":1},{"info":"number node, value=1392","layer":2},{"info":"compute unary expreesion, input=1392, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-17010, 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":16,"result_base":16,"text":"(⋗⩬⋾∃⊬1626)↺(∃⊬570⩠)=∃⊬0","reverse_text":"∃⊬0=(⋗⩬⋾∃⊬1626)↺(∃⊬570⩠)","cot":[{"info":"⋗⩬⋾∃⊬1626=∃⊬-4272","layer":1},{"info":"∃⊬570⩠=∃⊬0","layer":1},{"info":"∃⊬-4272↺∃⊬0=∃⊬0","layer":0}]}
+{"id":739,"expression_no_base_symbol":"($6248$⋳⪒$3551$)⩠","expression":"(∃⊬1868⋳⪒∃⊬DDF)⩠","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":6248,"base":16},"right_expr":{"type":"numeric_atoms","value":3551,"base":16}}},"used_operators":["sJAwomhLZr","12rbrZMWeM"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6248","layer":2},{"info":"number node, value=3551","layer":2},{"info":"compute binary expreesion, left_input=6248, right_input=3551, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8658","layer":1},{"info":"compute unary expreesion, input=8658, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1868⋳⪒∃⊬DDF)⩠=∃⊬0","reverse_text":"∃⊬0=(∃⊬1868⋳⪒∃⊬DDF)⩠","cot":[{"info":"∃⊬1868⋳⪒∃⊬DDF=∃⊬21D2","layer":1},{"info":"∃⊬21D2⩠=∃⊬0","layer":0}]}
+{"id":740,"expression_no_base_symbol":"⨰⫟⨤($1648$⨳⩥⨓$4085$)","expression":"⨰⫟⨤(∃⊬670⨳⩥⨓∃⊬FF5)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8911,"operation_count":2,"complexity_ratio":4455.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1648,"base":16},"right_expr":{"type":"numeric_atoms","value":4085,"base":16}}},"used_operators":["Tw270M8GLb","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1648","layer":2},{"info":"number node, value=4085","layer":2},{"info":"compute binary expreesion, left_input=1648, right_input=4085, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2437","layer":1},{"info":"compute unary expreesion, input=2437, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤(∃⊬670⨳⩥⨓∃⊬FF5)=NaN","reverse_text":"NaN=⨰⫟⨤(∃⊬670⨳⩥⨓∃⊬FF5)","cot":[{"info":"∃⊬670⨳⩥⨓∃⊬FF5=∃⊬985","layer":1},{"info":"⨰⫟⨤∃⊬985=NaN","layer":0}]}
+{"id":741,"expression_no_base_symbol":"(⫓⪴$1227$)⊭↱($1989$⩨$3007$)","expression":"(⫓⪴∃⊬4CB)⊭↱(∃⊬7C5⩨∃⊬BBF)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1237,"operation_count":3,"complexity_ratio":412.3333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1227,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1989,"base":16},"right_expr":{"type":"numeric_atoms","value":3007,"base":16}}},"used_operators":["COABgblf1C","eLxqMNBOBk","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬-2DF1F3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1227","layer":2},{"info":"compute unary expreesion, input=1227, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1505529","layer":1},{"info":"number node, value=1989","layer":2},{"info":"number node, value=3007","layer":2},{"info":"compute binary expreesion, left_input=1989, right_input=3007, 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=1505529, right_input=-3, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3011059","layer":0}],"base":16,"result_base":16,"text":"(⫓⪴∃⊬4CB)⊭↱(∃⊬7C5⩨∃⊬BBF)=∃⊬-2DF1F3","reverse_text":"∃⊬-2DF1F3=(⫓⪴∃⊬4CB)⊭↱(∃⊬7C5⩨∃⊬BBF)","cot":[{"info":"⫓⪴∃⊬4CB=∃⊬16F8F9","layer":1},{"info":"∃⊬7C5⩨∃⊬BBF=∃⊬-3","layer":1},{"info":"∃⊬16F8F9⊭↱∃⊬-3=∃⊬-2DF1F3","layer":0}]}
+{"id":742,"expression_no_base_symbol":"$4313$⊉≛↸$6234$-($1195$⨵⪆$5036$)","expression":"∃⊬10D9⊉≛↸∃⊬185A-(∃⊬4AB⨵⪆∃⊬13AC)","highest_n_order":1,"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":4313,"base":16},"right_expr":{"type":"numeric_atoms","value":6234,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1195,"base":16},"right_expr":{"type":"numeric_atoms","value":5036,"base":16}}},"used_operators":["rysDP5nf3Z","DZ8iAZOCBD","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬2112","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4313","layer":2},{"info":"number node, value=6234","layer":2},{"info":"compute binary expreesion, left_input=4313, right_input=6234, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8626","layer":1},{"info":"number node, value=1195","layer":2},{"info":"number node, value=5036","layer":2},{"info":"compute binary expreesion, left_input=1195, right_input=5036, 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=8626, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8466","layer":0}],"base":16,"result_base":16,"text":"∃⊬10D9⊉≛↸∃⊬185A-(∃⊬4AB⨵⪆∃⊬13AC)=∃⊬2112","reverse_text":"∃⊬2112=∃⊬10D9⊉≛↸∃⊬185A-(∃⊬4AB⨵⪆∃⊬13AC)","cot":[{"info":"∃⊬10D9⊉≛↸∃⊬185A=∃⊬21B2","layer":1},{"info":"∃⊬4AB⨵⪆∃⊬13AC=∃⊬A0","layer":1},{"info":"∃⊬21B2-∃⊬A0=∃⊬2112","layer":0}]}
+{"id":743,"expression_no_base_symbol":"($1246$⋳⪒$1370$)⨓($6426$⫸⊐$1228$)","expression":"(∃⊬4DE⋳⪒∃⊬55A)⨓(∃⊬191A⫸⊐∃⊬4CC)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4824,"operation_count":3,"complexity_ratio":1608.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1246,"base":16},"right_expr":{"type":"numeric_atoms","value":1370,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6426,"base":16},"right_expr":{"type":"numeric_atoms","value":1228,"base":16}}},"used_operators":["3ViojmjbAp","12rbrZMWeM","mqXw5SEYmG"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬-12B6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1246","layer":2},{"info":"number node, value=1370","layer":2},{"info":"compute binary expreesion, left_input=1246, right_input=1370, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=835","layer":1},{"info":"number node, value=6426","layer":2},{"info":"number node, value=1228","layer":2},{"info":"compute binary expreesion, left_input=6426, right_input=1228, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4787","layer":1},{"info":"compute binary expreesion, left_input=835, right_input=4787, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4790","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4DE⋳⪒∃⊬55A)⨓(∃⊬191A⫸⊐∃⊬4CC)=∃⊬-12B6","reverse_text":"∃⊬-12B6=(∃⊬4DE⋳⪒∃⊬55A)⨓(∃⊬191A⫸⊐∃⊬4CC)","cot":[{"info":"∃⊬4DE⋳⪒∃⊬55A=∃⊬343","layer":1},{"info":"∃⊬191A⫸⊐∃⊬4CC=∃⊬12B3","layer":1},{"info":"∃⊬343⨓∃⊬12B3=∃⊬-12B6","layer":0}]}
+{"id":744,"expression_no_base_symbol":"($5148$≋⫹)↬($4346$⩚⊴⇥$1147$)","expression":"(∃⊬141C≋⫹)↬(∃⊬10FA⩚⊴⇥∃⊬47B)","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":5148,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4346,"base":16},"right_expr":{"type":"numeric_atoms","value":1147,"base":16}}},"used_operators":["B5M0gjZbta","N41Kp7NANJ","NTOWxs364D"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5148","layer":2},{"info":"compute unary expreesion, input=5148, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10296","layer":1},{"info":"number node, value=4346","layer":2},{"info":"number node, value=1147","layer":2},{"info":"compute binary expreesion, left_input=4346, right_input=1147, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5614","layer":1},{"info":"compute binary expreesion, left_input=-10296, right_input=-5614, 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":16,"result_base":16,"text":"(∃⊬141C≋⫹)↬(∃⊬10FA⩚⊴⇥∃⊬47B)=NaN","reverse_text":"NaN=(∃⊬141C≋⫹)↬(∃⊬10FA⩚⊴⇥∃⊬47B)","cot":[{"info":"∃⊬141C≋⫹=∃⊬-2838","layer":1},{"info":"∃⊬10FA⩚⊴⇥∃⊬47B=∃⊬-15EE","layer":1},{"info":"∃⊬-2838↬∃⊬-15EE=NaN","layer":0}]}
+{"id":745,"expression_no_base_symbol":"⊄⩳↩($4512$/$1343$)","expression":"⊄⩳↩(∃⊬11A0/∃⊬53F)","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":4512,"base":16},"right_expr":{"type":"numeric_atoms","value":1343,"base":16}}},"used_operators":["8w2t5hMYqp","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4512","layer":2},{"info":"number node, value=1343","layer":2},{"info":"compute binary expreesion, left_input=4512, right_input=1343, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"compute unary expreesion, input=3, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(∃⊬11A0/∃⊬53F)=∃⊬-9","reverse_text":"∃⊬-9=⊄⩳↩(∃⊬11A0/∃⊬53F)","cot":[{"info":"∃⊬11A0/∃⊬53F=∃⊬3","layer":1},{"info":"⊄⩳↩∃⊬3=∃⊬-9","layer":0}]}
+{"id":746,"expression_no_base_symbol":"⨈⫕$1597$⇷$7060$","expression":"⨈⫕∃⊬63D⇷∃⊬1B94","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22750,"operation_count":2,"complexity_ratio":11375.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1597,"base":16},"right_expr":{"type":"numeric_atoms","value":7060,"base":16}}},"used_operators":["megm06wKyl","mp7IySMOzn"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1597","layer":2},{"info":"number node, value=7060","layer":2},{"info":"compute binary expreesion, left_input=1597, right_input=7060, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14120","layer":1},{"info":"compute unary expreesion, input=14120, 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":16,"result_base":16,"text":"⨈⫕∃⊬63D⇷∃⊬1B94=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕∃⊬63D⇷∃⊬1B94","cot":[{"info":"∃⊬63D⇷∃⊬1B94=∃⊬3728","layer":1},{"info":"⨈⫕∃⊬3728=∃⊬-15","layer":0}]}
+{"id":747,"expression_no_base_symbol":"(↣≠⋷$4955$)⋥≓≎$4557$+⇶⊼$4849$","expression":"(↣≠⋷∃⊬135B)⋥≓≎∃⊬11CD+⇶⊼∃⊬12F1","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":4955,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4557,"base":16},"right_expr":{"type":"numeric_atoms","value":4849,"base":16}}},"used_operators":["Qy55tPpLXF","Asc51vEJeQ","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4955","layer":2},{"info":"compute unary expreesion, input=4955, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=4557","layer":2},{"info":"number node, value=4849","layer":2},{"info":"compute binary expreesion, left_input=4557, right_input=4849, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷∃⊬135B)⋥≓≎∃⊬11CD+⇶⊼∃⊬12F1=∃⊬43","reverse_text":"∃⊬43=(↣≠⋷∃⊬135B)⋥≓≎∃⊬11CD+⇶⊼∃⊬12F1","cot":[{"info":"↣≠⋷∃⊬135B=NaN","layer":1},{"info":"∃⊬11CD+⇶⊼∃⊬12F1=NaN","layer":1},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":0}]}
+{"id":748,"expression_no_base_symbol":"$1810$⪢$1980$∸","expression":"∃⊬712⪢∃⊬7BC∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2157,"operation_count":2,"complexity_ratio":1078.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1810,"base":16},"right_expr":{"type":"numeric_atoms","value":1980,"base":16}}},"used_operators":["o20kRiQErp","dWAJyo7jo9"],"dependent_operators":["tmPS8pqC7x","k8jYdgA6NY"],"result":"∃⊬B1","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1810","layer":2},{"info":"number node, value=1980","layer":2},{"info":"compute binary expreesion, left_input=1810, right_input=1980, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":16,"result_base":16,"text":"∃⊬712⪢∃⊬7BC∸=∃⊬B1","reverse_text":"∃⊬B1=∃⊬712⪢∃⊬7BC∸","cot":[{"info":"∃⊬712⪢∃⊬7BC=NaN","layer":1},{"info":"NaN∸=∃⊬B1","layer":0}]}
+{"id":749,"expression_no_base_symbol":"$2119$⋝⋈⪟$3800$/$2542$⪒$1058$","expression":"∃⊬847⋝⋈⪟∃⊬ED8/∃⊬9EE⪒∃⊬422","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":2119,"base":16},"right_expr":{"type":"numeric_atoms","value":3800,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2542,"base":16},"right_expr":{"type":"numeric_atoms","value":1058,"base":16}}},"used_operators":["XhwjNDsVaA","2DDjHMKMc0","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2119","layer":2},{"info":"number node, value=3800","layer":2},{"info":"compute binary expreesion, left_input=2119, right_input=3800, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2119","layer":1},{"info":"number node, value=2542","layer":2},{"info":"number node, value=1058","layer":2},{"info":"compute binary expreesion, left_input=2542, right_input=1058, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3600","layer":1},{"info":"compute binary expreesion, left_input=2119, right_input=-3600, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":16,"result_base":16,"text":"∃⊬847⋝⋈⪟∃⊬ED8/∃⊬9EE⪒∃⊬422=∃⊬-1","reverse_text":"∃⊬-1=∃⊬847⋝⋈⪟∃⊬ED8/∃⊬9EE⪒∃⊬422","cot":[{"info":"∃⊬847⋝⋈⪟∃⊬ED8=∃⊬847","layer":1},{"info":"∃⊬9EE⪒∃⊬422=∃⊬-E10","layer":1},{"info":"∃⊬847/∃⊬-E10=∃⊬-1","layer":0}]}
+{"id":750,"expression_no_base_symbol":"($5550$⪠⩆⊳)⩨($1191$+$3772$)","expression":"(∃⊬15AE⪠⩆⊳)⩨(∃⊬4A7+∃⊬EBC)","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":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5550,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1191,"base":16},"right_expr":{"type":"numeric_atoms","value":3772,"base":16}}},"used_operators":["2DlMacCsIx","JLbD19bQDL","W4YGzv6Whe"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5550","layer":2},{"info":"compute unary expreesion, input=5550, 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=1191","layer":2},{"info":"number node, value=3772","layer":2},{"info":"compute binary expreesion, left_input=1191, right_input=3772, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4963","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4963, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬15AE⪠⩆⊳)⩨(∃⊬4A7+∃⊬EBC)=NaN","reverse_text":"NaN=(∃⊬15AE⪠⩆⊳)⩨(∃⊬4A7+∃⊬EBC)","cot":[{"info":"∃⊬15AE⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬4A7+∃⊬EBC=∃⊬1363","layer":1},{"info":"∃⊬0⩨∃⊬1363=NaN","layer":0}]}
+{"id":751,"expression_no_base_symbol":"$3348$⪢$1066$≧⫂∧(⊙↵-$6473$)","expression":"∃⊬D14⪢∃⊬42A≧⫂∧(⊙↵-∃⊬1949)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7769,"operation_count":3,"complexity_ratio":2589.6666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3348,"base":16},"right_expr":{"type":"numeric_atoms","value":1066,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6473,"base":16}}},"used_operators":["Ph9nP6C5qx","dWAJyo7jo9","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬-1DA","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3348","layer":2},{"info":"number node, value=1066","layer":2},{"info":"compute binary expreesion, left_input=3348, right_input=1066, 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=6473","layer":2},{"info":"compute unary expreesion, input=6473, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-474","layer":0}],"base":16,"result_base":16,"text":"∃⊬D14⪢∃⊬42A≧⫂∧(⊙↵-∃⊬1949)=∃⊬-1DA","reverse_text":"∃⊬-1DA=∃⊬D14⪢∃⊬42A≧⫂∧(⊙↵-∃⊬1949)","cot":[{"info":"∃⊬D14⪢∃⊬42A=NaN","layer":1},{"info":"⊙↵-∃⊬1949=∃⊬-1","layer":1},{"info":"NaN≧⫂∧∃⊬-1=∃⊬-1DA","layer":0}]}
+{"id":752,"expression_no_base_symbol":"$7307$⨟⋌⩍$5024$-($1563$⪨≂$1229$)","expression":"∃⊬1C8B⨟⋌⩍∃⊬13A0-(∃⊬61B⪨≂∃⊬4CD)","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":7307,"base":16},"right_expr":{"type":"numeric_atoms","value":5024,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1563,"base":16},"right_expr":{"type":"numeric_atoms","value":1229,"base":16}}},"used_operators":["rysDP5nf3Z","rGHVDoGpnC","sdazOOVcIp"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7307","layer":2},{"info":"number node, value=5024","layer":2},{"info":"compute binary expreesion, left_input=7307, right_input=5024, 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=1563","layer":2},{"info":"number node, value=1229","layer":2},{"info":"compute binary expreesion, left_input=1563, right_input=1229, 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=770","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=770, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1C8B⨟⋌⩍∃⊬13A0-(∃⊬61B⪨≂∃⊬4CD)=NaN","reverse_text":"NaN=∃⊬1C8B⨟⋌⩍∃⊬13A0-(∃⊬61B⪨≂∃⊬4CD)","cot":[{"info":"∃⊬1C8B⨟⋌⩍∃⊬13A0=NaN","layer":1},{"info":"∃⊬61B⪨≂∃⊬4CD=∃⊬302","layer":1},{"info":"NaN-∃⊬302=NaN","layer":0}]}
+{"id":753,"expression_no_base_symbol":"($6513$⊘)⨰($7749$↺$1583$)","expression":"(∃⊬1971⊘)⨰(∃⊬1E45↺∃⊬62F)","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":6513,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7749,"base":16},"right_expr":{"type":"numeric_atoms","value":1583,"base":16}}},"used_operators":["eewbuw0ToL","gu96TGCTMs","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-625","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6513","layer":2},{"info":"compute unary expreesion, input=6513, 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=7749","layer":2},{"info":"number node, value=1583","layer":2},{"info":"compute binary expreesion, left_input=7749, right_input=1583, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1583","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1583, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1573","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1971⊘)⨰(∃⊬1E45↺∃⊬62F)=∃⊬-625","reverse_text":"∃⊬-625=(∃⊬1971⊘)⨰(∃⊬1E45↺∃⊬62F)","cot":[{"info":"∃⊬1971⊘=∃⊬0","layer":1},{"info":"∃⊬1E45↺∃⊬62F=∃⊬62F","layer":1},{"info":"∃⊬0⨰∃⊬62F=∃⊬-625","layer":0}]}
+{"id":754,"expression_no_base_symbol":"$5780$⨸⪁$1029$⨸⪁$5950$⨐⩸⫘$4055$","expression":"∃⊬1694⨸⪁∃⊬405⨸⪁∃⊬173E⨐⩸⫘∃⊬FD7","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":5780,"base":16},"right_expr":{"type":"numeric_atoms","value":1029,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5950,"base":16},"right_expr":{"type":"numeric_atoms","value":4055,"base":16}}},"used_operators":["g55IO6H4Gj","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5780","layer":2},{"info":"number node, value=1029","layer":2},{"info":"compute binary expreesion, left_input=5780, right_input=1029, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13618","layer":1},{"info":"number node, value=5950","layer":2},{"info":"number node, value=4055","layer":2},{"info":"compute binary expreesion, left_input=5950, right_input=4055, 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=13618, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1694⨸⪁∃⊬405⨸⪁∃⊬173E⨐⩸⫘∃⊬FD7=NaN","reverse_text":"NaN=∃⊬1694⨸⪁∃⊬405⨸⪁∃⊬173E⨐⩸⫘∃⊬FD7","cot":[{"info":"∃⊬1694⨸⪁∃⊬405=∃⊬3532","layer":1},{"info":"∃⊬173E⨐⩸⫘∃⊬FD7=NaN","layer":1},{"info":"∃⊬3532⨸⪁NaN=NaN","layer":0}]}
+{"id":755,"expression_no_base_symbol":"(∂$2275$)⪢($5249$≦≮≮)","expression":"(∂∃⊬8E3)⪢(∃⊬1481≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15751,"operation_count":3,"complexity_ratio":5250.333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2275,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5249,"base":16}}},"used_operators":["dWAJyo7jo9","Uaa54Peajs","D4vGDi5EA2"],"dependent_operators":["k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2275","layer":2},{"info":"compute unary expreesion, input=2275, 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=5249","layer":2},{"info":"compute unary expreesion, input=5249, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-15747","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15747, 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":16,"result_base":16,"text":"(∂∃⊬8E3)⪢(∃⊬1481≦≮≮)=NaN","reverse_text":"NaN=(∂∃⊬8E3)⪢(∃⊬1481≦≮≮)","cot":[{"info":"∂∃⊬8E3=NaN","layer":1},{"info":"∃⊬1481≦≮≮=∃⊬-3D83","layer":1},{"info":"NaN⪢∃⊬-3D83=NaN","layer":0}]}
+{"id":756,"expression_no_base_symbol":"$1795$⪮%⊝$1920$⋓($2331$⪠⩆⊳)","expression":"∃⊬703⪮%⊝∃⊬780⋓(∃⊬91B⪠⩆⊳)","highest_n_order":3,"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":1795,"base":16},"right_expr":{"type":"numeric_atoms","value":1920,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2331,"base":16}}},"used_operators":["T2fj7uvVaJ","IWmyXbctLI","JLbD19bQDL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1795","layer":2},{"info":"number node, value=1920","layer":2},{"info":"compute binary expreesion, left_input=1795, right_input=1920, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3906","layer":1},{"info":"number node, value=2331","layer":2},{"info":"compute unary expreesion, input=2331, 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=3906, 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":16,"result_base":16,"text":"∃⊬703⪮%⊝∃⊬780⋓(∃⊬91B⪠⩆⊳)=∃⊬0","reverse_text":"∃⊬0=∃⊬703⪮%⊝∃⊬780⋓(∃⊬91B⪠⩆⊳)","cot":[{"info":"∃⊬703⪮%⊝∃⊬780=∃⊬F42","layer":1},{"info":"∃⊬91B⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬F42⋓∃⊬0=∃⊬0","layer":0}]}
+{"id":757,"expression_no_base_symbol":"$2317$⊉≛↸$8327$⊭↱$2639$⊴$1113$","expression":"∃⊬90D⊉≛↸∃⊬2087⊭↱∃⊬A4F⊴∃⊬459","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1610,"operation_count":3,"complexity_ratio":536.6666666666666,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2317,"base":16},"right_expr":{"type":"numeric_atoms","value":8327,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2639,"base":16},"right_expr":{"type":"numeric_atoms","value":1113,"base":16}}},"used_operators":["COABgblf1C","DZ8iAZOCBD","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2317","layer":2},{"info":"number node, value=8327","layer":2},{"info":"compute binary expreesion, left_input=2317, right_input=8327, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4634","layer":1},{"info":"number node, value=2639","layer":2},{"info":"number node, value=1113","layer":2},{"info":"compute binary expreesion, left_input=2639, right_input=1113, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4634, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬90D⊉≛↸∃⊬2087⊭↱∃⊬A4F⊴∃⊬459=NaN","reverse_text":"NaN=∃⊬90D⊉≛↸∃⊬2087⊭↱∃⊬A4F⊴∃⊬459","cot":[{"info":"∃⊬90D⊉≛↸∃⊬2087=∃⊬121A","layer":1},{"info":"∃⊬A4F⊴∃⊬459=NaN","layer":1},{"info":"∃⊬121A⊭↱NaN=NaN","layer":0}]}
+{"id":758,"expression_no_base_symbol":"($1198$⨳⩥⨓$3348$)∼($3494$∧)","expression":"(∃⊬4AE⨳⩥⨓∃⊬D14)∼(∃⊬DA6∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":53,"operation_count":3,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1198,"base":16},"right_expr":{"type":"numeric_atoms","value":3348,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3494,"base":16}}},"used_operators":["DyGG3AbaNP","nCS4ZIUYfx","z63VuFQld9"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1198","layer":2},{"info":"number node, value=3348","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=3348, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2150","layer":1},{"info":"number node, value=3494","layer":2},{"info":"compute unary expreesion, input=3494, 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=2150, 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":16,"result_base":16,"text":"(∃⊬4AE⨳⩥⨓∃⊬D14)∼(∃⊬DA6∧)=NaN","reverse_text":"NaN=(∃⊬4AE⨳⩥⨓∃⊬D14)∼(∃⊬DA6∧)","cot":[{"info":"∃⊬4AE⨳⩥⨓∃⊬D14=∃⊬866","layer":1},{"info":"∃⊬DA6∧=NaN","layer":1},{"info":"∃⊬866∼NaN=NaN","layer":0}]}
+{"id":759,"expression_no_base_symbol":"($3583$⊠≄⫣)⇋≉","expression":"(∃⊬DFF⊠≄⫣)⇋≉","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":3583,"base":16}}},"used_operators":["XIabStNQrY","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-62","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3583","layer":2},{"info":"compute unary expreesion, input=3583, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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":16,"result_base":16,"text":"(∃⊬DFF⊠≄⫣)⇋≉=∃⊬-62","reverse_text":"∃⊬-62=(∃⊬DFF⊠≄⫣)⇋≉","cot":[{"info":"∃⊬DFF⊠≄⫣=∃⊬0","layer":1},{"info":"∃⊬0⇋≉=∃⊬-62","layer":0}]}
+{"id":760,"expression_no_base_symbol":"($1974$-$6892$)⋳⪒(∂$6198$)","expression":"(∃⊬7B6-∃⊬1AEC)⋳⪒(∂∃⊬1836)","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":1974,"base":16},"right_expr":{"type":"numeric_atoms","value":6892,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6198,"base":16}}},"used_operators":["12rbrZMWeM","rysDP5nf3Z","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1974","layer":2},{"info":"number node, value=6892","layer":2},{"info":"compute binary expreesion, left_input=1974, right_input=6892, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4918","layer":1},{"info":"number node, value=6198","layer":2},{"info":"compute unary expreesion, input=6198, 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=-4918, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬7B6-∃⊬1AEC)⋳⪒(∂∃⊬1836)=NaN","reverse_text":"NaN=(∃⊬7B6-∃⊬1AEC)⋳⪒(∂∃⊬1836)","cot":[{"info":"∃⊬7B6-∃⊬1AEC=∃⊬-1336","layer":1},{"info":"∂∃⊬1836=NaN","layer":1},{"info":"∃⊬-1336⋳⪒NaN=NaN","layer":0}]}
+{"id":761,"expression_no_base_symbol":"($2063$≦≮≮)⨎($1453$⪄$1716$)","expression":"(∃⊬80F≦≮≮)⨎(∃⊬5AD⪄∃⊬6B4)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2063,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1453,"base":16},"right_expr":{"type":"numeric_atoms","value":1716,"base":16}}},"used_operators":["rJVOvQCfKK","D4vGDi5EA2","SUmda5xLS4"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬-3538D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2063","layer":2},{"info":"compute unary expreesion, input=2063, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6189","layer":1},{"info":"number node, value=1453","layer":2},{"info":"number node, value=1716","layer":2},{"info":"compute binary expreesion, left_input=1453, right_input=1716, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-217997","layer":1},{"info":"compute binary expreesion, left_input=-6189, right_input=-217997, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-217997","layer":0}],"base":16,"result_base":16,"text":"(∃⊬80F≦≮≮)⨎(∃⊬5AD⪄∃⊬6B4)=∃⊬-3538D","reverse_text":"∃⊬-3538D=(∃⊬80F≦≮≮)⨎(∃⊬5AD⪄∃⊬6B4)","cot":[{"info":"∃⊬80F≦≮≮=∃⊬-182D","layer":1},{"info":"∃⊬5AD⪄∃⊬6B4=∃⊬-3538D","layer":1},{"info":"∃⊬-182D⨎∃⊬-3538D=∃⊬-3538D","layer":0}]}
+{"id":762,"expression_no_base_symbol":"$1828$⇼⇔∾$1838$⇼⇔∾$1515$⨰$1254$","expression":"∃⊬724⇼⇔∾∃⊬72E⇼⇔∾∃⊬5EB⨰∃⊬4E6","highest_n_order":1,"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":1828,"base":16},"right_expr":{"type":"numeric_atoms","value":1838,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1515,"base":16},"right_expr":{"type":"numeric_atoms","value":1254,"base":16}}},"used_operators":["tifHPKVTfV","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬105","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1828","layer":2},{"info":"number node, value=1838","layer":2},{"info":"compute binary expreesion, left_input=1828, right_input=1838, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=10","layer":1},{"info":"number node, value=1515","layer":2},{"info":"number node, value=1254","layer":2},{"info":"compute binary expreesion, left_input=1515, right_input=1254, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=271","layer":1},{"info":"compute binary expreesion, left_input=10, right_input=271, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=261","layer":0}],"base":16,"result_base":16,"text":"∃⊬724⇼⇔∾∃⊬72E⇼⇔∾∃⊬5EB⨰∃⊬4E6=∃⊬105","reverse_text":"∃⊬105=∃⊬724⇼⇔∾∃⊬72E⇼⇔∾∃⊬5EB⨰∃⊬4E6","cot":[{"info":"∃⊬724⇼⇔∾∃⊬72E=∃⊬A","layer":1},{"info":"∃⊬5EB⨰∃⊬4E6=∃⊬10F","layer":1},{"info":"∃⊬A⇼⇔∾∃⊬10F=∃⊬105","layer":0}]}
+{"id":763,"expression_no_base_symbol":"⨑⩽⪐$1627$⫥∨⫟$3345$","expression":"⨑⩽⪐∃⊬65B⫥∨⫟∃⊬D11","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":161,"operation_count":2,"complexity_ratio":80.5,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1627,"base":16},"right_expr":{"type":"numeric_atoms","value":3345,"base":16}}},"used_operators":["AF7qkfDlqP","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1627","layer":2},{"info":"number node, value=3345","layer":2},{"info":"compute binary expreesion, left_input=1627, right_input=3345, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":16,"result_base":16,"text":"⨑⩽⪐∃⊬65B⫥∨⫟∃⊬D11=NaN","reverse_text":"NaN=⨑⩽⪐∃⊬65B⫥∨⫟∃⊬D11","cot":[{"info":"∃⊬65B⫥∨⫟∃⊬D11=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
+{"id":764,"expression_no_base_symbol":"($1763$⩨$2029$)⋫","expression":"(∃⊬6E3⩨∃⊬7ED)⋫","highest_n_order":3,"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":1763,"base":16},"right_expr":{"type":"numeric_atoms","value":2029,"base":16}}},"used_operators":["JL8yIekQnl","2DlMacCsIx"],"dependent_operators":["tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬3","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1763","layer":2},{"info":"number node, value=2029","layer":2},{"info":"compute binary expreesion, left_input=1763, right_input=2029, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6E3⩨∃⊬7ED)⋫=∃⊬3","reverse_text":"∃⊬3=(∃⊬6E3⩨∃⊬7ED)⋫","cot":[{"info":"∃⊬6E3⩨∃⊬7ED=∃⊬-3","layer":1},{"info":"∃⊬-3⋫=∃⊬3","layer":0}]}
+{"id":765,"expression_no_base_symbol":"(⨈⫕$3169$)⨓($3756$∲⫓$3104$)","expression":"(⨈⫕∃⊬C61)⨓(∃⊬EAC∲⫓∃⊬C20)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":395,"operation_count":3,"complexity_ratio":131.66666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3169,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3756,"base":16},"right_expr":{"type":"numeric_atoms","value":3104,"base":16}}},"used_operators":["3ViojmjbAp","megm06wKyl","i8ToyICDmI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3169","layer":2},{"info":"compute unary expreesion, input=3169, 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=3756","layer":2},{"info":"number node, value=3104","layer":2},{"info":"compute binary expreesion, left_input=3756, right_input=3104, 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=-21, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨈⫕∃⊬C61)⨓(∃⊬EAC∲⫓∃⊬C20)=NaN","reverse_text":"NaN=(⨈⫕∃⊬C61)⨓(∃⊬EAC∲⫓∃⊬C20)","cot":[{"info":"⨈⫕∃⊬C61=∃⊬-15","layer":1},{"info":"∃⊬EAC∲⫓∃⊬C20=∃⊬0","layer":1},{"info":"∃⊬-15⨓∃⊬0=NaN","layer":0}]}
+{"id":766,"expression_no_base_symbol":"$1540$⨟⋌⩍$5473$∼($3401$⫸⊐$1122$)","expression":"∃⊬604⨟⋌⩍∃⊬1561∼(∃⊬D49⫸⊐∃⊬462)","highest_n_order":4,"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":1540,"base":16},"right_expr":{"type":"numeric_atoms","value":5473,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3401,"base":16},"right_expr":{"type":"numeric_atoms","value":1122,"base":16}}},"used_operators":["DyGG3AbaNP","rGHVDoGpnC","mqXw5SEYmG"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1540","layer":2},{"info":"number node, value=5473","layer":2},{"info":"compute binary expreesion, left_input=1540, right_input=5473, 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=3401","layer":2},{"info":"number node, value=1122","layer":2},{"info":"compute binary expreesion, left_input=3401, right_input=1122, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4363","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4363, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬604⨟⋌⩍∃⊬1561∼(∃⊬D49⫸⊐∃⊬462)=NaN","reverse_text":"NaN=∃⊬604⨟⋌⩍∃⊬1561∼(∃⊬D49⫸⊐∃⊬462)","cot":[{"info":"∃⊬604⨟⋌⩍∃⊬1561=NaN","layer":1},{"info":"∃⊬D49⫸⊐∃⊬462=∃⊬110B","layer":1},{"info":"NaN∼∃⊬110B=NaN","layer":0}]}
+{"id":767,"expression_no_base_symbol":"$6195$∼$3616$⫸⊐(⨑⩽⪐$2797$)","expression":"∃⊬1833∼∃⊬E20⫸⊐(⨑⩽⪐∃⊬AED)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":131,"operation_count":3,"complexity_ratio":43.666666666666664,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6195,"base":16},"right_expr":{"type":"numeric_atoms","value":3616,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2797,"base":16}}},"used_operators":["mqXw5SEYmG","DyGG3AbaNP","AF7qkfDlqP"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6195","layer":2},{"info":"number node, value=3616","layer":2},{"info":"compute binary expreesion, left_input=6195, right_input=3616, 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=2797","layer":2},{"info":"compute unary expreesion, input=2797, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2524","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2524, 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":16,"result_base":16,"text":"∃⊬1833∼∃⊬E20⫸⊐(⨑⩽⪐∃⊬AED)=NaN","reverse_text":"NaN=∃⊬1833∼∃⊬E20⫸⊐(⨑⩽⪐∃⊬AED)","cot":[{"info":"∃⊬1833∼∃⊬E20=NaN","layer":1},{"info":"⨑⩽⪐∃⊬AED=∃⊬-9DC","layer":1},{"info":"NaN⫸⊐∃⊬-9DC=NaN","layer":0}]}
+{"id":768,"expression_no_base_symbol":"$3263$⪮%⊝$2930$⫥∨⫟($2316$⨵⪆$9169$)","expression":"∃⊬CBF⪮%⊝∃⊬B72⫥∨⫟(∃⊬90C⨵⪆∃⊬23D1)","highest_n_order":4,"priority_hierarchical_complexity":3,"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":3263,"base":16},"right_expr":{"type":"numeric_atoms","value":2930,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2316,"base":16},"right_expr":{"type":"numeric_atoms","value":9169,"base":16}}},"used_operators":["KYD54nUTWz","IWmyXbctLI","2DQ55sFlQl"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3263","layer":2},{"info":"number node, value=2930","layer":2},{"info":"compute binary expreesion, left_input=3263, right_input=2930, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6842","layer":1},{"info":"number node, value=2316","layer":2},{"info":"number node, value=9169","layer":2},{"info":"compute binary expreesion, left_input=2316, right_input=9169, 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=6842, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬CBF⪮%⊝∃⊬B72⫥∨⫟(∃⊬90C⨵⪆∃⊬23D1)=NaN","reverse_text":"NaN=∃⊬CBF⪮%⊝∃⊬B72⫥∨⫟(∃⊬90C⨵⪆∃⊬23D1)","cot":[{"info":"∃⊬CBF⪮%⊝∃⊬B72=∃⊬1ABA","layer":1},{"info":"∃⊬90C⨵⪆∃⊬23D1=∃⊬A0","layer":1},{"info":"∃⊬1ABA⫥∨⫟∃⊬A0=NaN","layer":0}]}
+{"id":769,"expression_no_base_symbol":"($1255$⋓$1167$)⨟⋌⩍($1500$+⇶⊼$4129$)","expression":"(∃⊬4E7⋓∃⊬48F)⨟⋌⩍(∃⊬5DC+⇶⊼∃⊬1021)","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":1255,"base":16},"right_expr":{"type":"numeric_atoms","value":1167,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1500,"base":16},"right_expr":{"type":"numeric_atoms","value":4129,"base":16}}},"used_operators":["rGHVDoGpnC","T2fj7uvVaJ","TpPTUOHfaN"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1255","layer":2},{"info":"number node, value=1167","layer":2},{"info":"compute binary expreesion, left_input=1255, right_input=1167, 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=1500","layer":2},{"info":"number node, value=4129","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=4129, 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 = 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":16,"result_base":16,"text":"(∃⊬4E7⋓∃⊬48F)⨟⋌⩍(∃⊬5DC+⇶⊼∃⊬1021)=NaN","reverse_text":"NaN=(∃⊬4E7⋓∃⊬48F)⨟⋌⩍(∃⊬5DC+⇶⊼∃⊬1021)","cot":[{"info":"∃⊬4E7⋓∃⊬48F=∃⊬0","layer":1},{"info":"∃⊬5DC+⇶⊼∃⊬1021=NaN","layer":1},{"info":"∃⊬0⨟⋌⩍NaN=NaN","layer":0}]}
+{"id":770,"expression_no_base_symbol":"$7558$⫥∨⫟$1481$⩨(⩦⩻⨪$7222$)","expression":"∃⊬1D86⫥∨⫟∃⊬5C9⩨(⩦⩻⨪∃⊬1C36)","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":7558,"base":16},"right_expr":{"type":"numeric_atoms","value":1481,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7222,"base":16}}},"used_operators":["2DlMacCsIx","KYD54nUTWz","2td37pGCOC"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7558","layer":2},{"info":"number node, value=1481","layer":2},{"info":"compute binary expreesion, left_input=7558, right_input=1481, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=7222","layer":2},{"info":"compute unary expreesion, input=7222, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7222","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7222, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1D86⫥∨⫟∃⊬5C9⩨(⩦⩻⨪∃⊬1C36)=NaN","reverse_text":"NaN=∃⊬1D86⫥∨⫟∃⊬5C9⩨(⩦⩻⨪∃⊬1C36)","cot":[{"info":"∃⊬1D86⫥∨⫟∃⊬5C9=NaN","layer":1},{"info":"⩦⩻⨪∃⊬1C36=∃⊬1C36","layer":1},{"info":"NaN⩨∃⊬1C36=NaN","layer":0}]}
+{"id":771,"expression_no_base_symbol":"($2705$⊭↱$2821$)⨽$2950$⨎$1188$","expression":"(∃⊬A91⊭↱∃⊬B05)⨽∃⊬B86⨎∃⊬4A4","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":253,"operation_count":3,"complexity_ratio":84.33333333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2705,"base":16},"right_expr":{"type":"numeric_atoms","value":2821,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2950,"base":16},"right_expr":{"type":"numeric_atoms","value":1188,"base":16}}},"used_operators":["8HhzD0ZcuI","COABgblf1C","rJVOvQCfKK"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬-29B05","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2705","layer":2},{"info":"number node, value=2821","layer":2},{"info":"compute binary expreesion, left_input=2705, right_input=2821, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=237","layer":1},{"info":"number node, value=2950","layer":2},{"info":"number node, value=1188","layer":2},{"info":"compute binary expreesion, left_input=2950, right_input=1188, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1188","layer":1},{"info":"compute binary expreesion, left_input=237, right_input=1188, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-170757","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A91⊭↱∃⊬B05)⨽∃⊬B86⨎∃⊬4A4=∃⊬-29B05","reverse_text":"∃⊬-29B05=(∃⊬A91⊭↱∃⊬B05)⨽∃⊬B86⨎∃⊬4A4","cot":[{"info":"∃⊬A91⊭↱∃⊬B05=∃⊬ED","layer":1},{"info":"∃⊬B86⨎∃⊬4A4=∃⊬4A4","layer":1},{"info":"∃⊬ED⨽∃⊬4A4=∃⊬-29B05","layer":0}]}
+{"id":772,"expression_no_base_symbol":"$1860$⨟⋌⩍$1814$⊉≛↸$3620$⨰$4432$","expression":"∃⊬744⨟⋌⩍∃⊬716⊉≛↸∃⊬E24⨰∃⊬1150","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":1860,"base":16},"right_expr":{"type":"numeric_atoms","value":1814,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3620,"base":16},"right_expr":{"type":"numeric_atoms","value":4432,"base":16}}},"used_operators":["DZ8iAZOCBD","rGHVDoGpnC","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1860","layer":2},{"info":"number node, value=1814","layer":2},{"info":"compute binary expreesion, left_input=1860, right_input=1814, 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=3620","layer":2},{"info":"number node, value=4432","layer":2},{"info":"compute binary expreesion, left_input=3620, right_input=4432, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-802","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-802, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬744⨟⋌⩍∃⊬716⊉≛↸∃⊬E24⨰∃⊬1150=NaN","reverse_text":"NaN=∃⊬744⨟⋌⩍∃⊬716⊉≛↸∃⊬E24⨰∃⊬1150","cot":[{"info":"∃⊬744⨟⋌⩍∃⊬716=NaN","layer":1},{"info":"∃⊬E24⨰∃⊬1150=∃⊬-322","layer":1},{"info":"NaN⊉≛↸∃⊬-322=NaN","layer":0}]}
+{"id":773,"expression_no_base_symbol":"$3093$⪮%⊝$4033$⪛(⨈⫕$7785$)","expression":"∃⊬C15⪮%⊝∃⊬FC1⪛(⨈⫕∃⊬1E69)","highest_n_order":5,"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":3093,"base":16},"right_expr":{"type":"numeric_atoms","value":4033,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7785,"base":16}}},"used_operators":["uFcxV4UQCh","IWmyXbctLI","megm06wKyl"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬-8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3093","layer":2},{"info":"number node, value=4033","layer":2},{"info":"compute binary expreesion, left_input=3093, right_input=4033, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6502","layer":1},{"info":"number node, value=7785","layer":2},{"info":"compute unary expreesion, input=7785, 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=6502, right_input=-21, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-8","layer":0}],"base":16,"result_base":16,"text":"∃⊬C15⪮%⊝∃⊬FC1⪛(⨈⫕∃⊬1E69)=∃⊬-8","reverse_text":"∃⊬-8=∃⊬C15⪮%⊝∃⊬FC1⪛(⨈⫕∃⊬1E69)","cot":[{"info":"∃⊬C15⪮%⊝∃⊬FC1=∃⊬1966","layer":1},{"info":"⨈⫕∃⊬1E69=∃⊬-15","layer":1},{"info":"∃⊬1966⪛∃⊬-15=∃⊬-8","layer":0}]}
+{"id":774,"expression_no_base_symbol":"(⨈⫕$1590$)⨎(⩦⩻⨪$4258$)","expression":"(⨈⫕∃⊬636)⨎(⩦⩻⨪∃⊬10A2)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":390,"operation_count":3,"complexity_ratio":130.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1590,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4258,"base":16}}},"used_operators":["rJVOvQCfKK","megm06wKyl","2td37pGCOC"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬10A2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1590","layer":2},{"info":"compute unary expreesion, input=1590, 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=4258","layer":2},{"info":"compute unary expreesion, input=4258, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4258","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=4258, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4258","layer":0}],"base":16,"result_base":16,"text":"(⨈⫕∃⊬636)⨎(⩦⩻⨪∃⊬10A2)=∃⊬10A2","reverse_text":"∃⊬10A2=(⨈⫕∃⊬636)⨎(⩦⩻⨪∃⊬10A2)","cot":[{"info":"⨈⫕∃⊬636=∃⊬-15","layer":1},{"info":"⩦⩻⨪∃⊬10A2=∃⊬10A2","layer":1},{"info":"∃⊬-15⨎∃⊬10A2=∃⊬10A2","layer":0}]}
+{"id":775,"expression_no_base_symbol":"$3611$⊴$1189$↺$3205$≭$1785$","expression":"∃⊬E1B⊴∃⊬4A5↺∃⊬C85≭∃⊬6F9","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7897,"operation_count":3,"complexity_ratio":2632.3333333333335,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3611,"base":16},"right_expr":{"type":"numeric_atoms","value":1189,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3205,"base":16},"right_expr":{"type":"numeric_atoms","value":1785,"base":16}}},"used_operators":["7j4O788W3g","Nsiff2A1zJ","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3611","layer":2},{"info":"number node, value=1189","layer":2},{"info":"compute binary expreesion, left_input=3611, right_input=1189, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3205","layer":2},{"info":"number node, value=1785","layer":2},{"info":"compute binary expreesion, left_input=3205, right_input=1785, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬E1B⊴∃⊬4A5↺∃⊬C85≭∃⊬6F9=NaN","reverse_text":"NaN=∃⊬E1B⊴∃⊬4A5↺∃⊬C85≭∃⊬6F9","cot":[{"info":"∃⊬E1B⊴∃⊬4A5=NaN","layer":1},{"info":"∃⊬C85≭∃⊬6F9=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
+{"id":776,"expression_no_base_symbol":"$3920$⨐⩸⫘$3707$⩨(⨈⫕$1174$)","expression":"∃⊬F50⨐⩸⫘∃⊬E7B⩨(⨈⫕∃⊬496)","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":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3920,"base":16},"right_expr":{"type":"numeric_atoms","value":3707,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1174,"base":16}}},"used_operators":["2DlMacCsIx","fu6greOZ01","megm06wKyl"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3920","layer":2},{"info":"number node, value=3707","layer":2},{"info":"compute binary expreesion, left_input=3920, right_input=3707, 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=1174","layer":2},{"info":"compute unary expreesion, input=1174, 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=nan, right_input=-21, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬F50⨐⩸⫘∃⊬E7B⩨(⨈⫕∃⊬496)=NaN","reverse_text":"NaN=∃⊬F50⨐⩸⫘∃⊬E7B⩨(⨈⫕∃⊬496)","cot":[{"info":"∃⊬F50⨐⩸⫘∃⊬E7B=NaN","layer":1},{"info":"⨈⫕∃⊬496=∃⊬-15","layer":1},{"info":"NaN⩨∃⊬-15=NaN","layer":0}]}
+{"id":777,"expression_no_base_symbol":"($3154$↛⩡⫤)⪢$2447$⪢$3477$","expression":"(∃⊬C52↛⩡⫤)⪢∃⊬98F⪢∃⊬D95","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13074,"operation_count":3,"complexity_ratio":4358.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3154,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2447,"base":16},"right_expr":{"type":"numeric_atoms","value":3477,"base":16}}},"used_operators":["dWAJyo7jo9","FU0Cs4j7VP"],"dependent_operators":["k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3154","layer":2},{"info":"compute unary expreesion, input=3154, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-472343","layer":1},{"info":"number node, value=2447","layer":2},{"info":"number node, value=3477","layer":2},{"info":"compute binary expreesion, left_input=2447, right_input=3477, 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=-472343, 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":16,"result_base":16,"text":"(∃⊬C52↛⩡⫤)⪢∃⊬98F⪢∃⊬D95=NaN","reverse_text":"NaN=(∃⊬C52↛⩡⫤)⪢∃⊬98F⪢∃⊬D95","cot":[{"info":"∃⊬C52↛⩡⫤=∃⊬-73517","layer":1},{"info":"∃⊬98F⪢∃⊬D95=NaN","layer":1},{"info":"∃⊬-73517⪢NaN=NaN","layer":0}]}
+{"id":778,"expression_no_base_symbol":"$1083$⪢$4770$⪄(⨰⫟⨤$2752$)","expression":"∃⊬43B⪢∃⊬12A2⪄(⨰⫟⨤∃⊬AC0)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14959,"operation_count":3,"complexity_ratio":4986.333333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1083,"base":16},"right_expr":{"type":"numeric_atoms","value":4770,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2752,"base":16}}},"used_operators":["SUmda5xLS4","dWAJyo7jo9","Tw270M8GLb"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1083","layer":2},{"info":"number node, value=4770","layer":2},{"info":"compute binary expreesion, left_input=1083, right_input=4770, 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=2752","layer":2},{"info":"compute unary expreesion, input=2752, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":16,"result_base":16,"text":"∃⊬43B⪢∃⊬12A2⪄(⨰⫟⨤∃⊬AC0)=∃⊬F8B","reverse_text":"∃⊬F8B=∃⊬43B⪢∃⊬12A2⪄(⨰⫟⨤∃⊬AC0)","cot":[{"info":"∃⊬43B⪢∃⊬12A2=NaN","layer":1},{"info":"⨰⫟⨤∃⊬AC0=NaN","layer":1},{"info":"NaN⪄NaN=∃⊬F8B","layer":0}]}
+{"id":779,"expression_no_base_symbol":"($3363$⨵⪆$2027$)∀⇚≩(-$1349$)","expression":"(∃⊬D23⨵⪆∃⊬7EB)∀⇚≩(-∃⊬545)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1122,"operation_count":3,"complexity_ratio":374.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3363,"base":16},"right_expr":{"type":"numeric_atoms","value":2027,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1349,"base":16}}},"used_operators":["LRNGc0VcxI","2DQ55sFlQl","t8gj7n24qd"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3363","layer":2},{"info":"number node, value=2027","layer":2},{"info":"compute binary expreesion, left_input=3363, right_input=2027, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1349","layer":2},{"info":"compute unary expreesion, input=1349, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1349","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-1349, 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":16,"result_base":16,"text":"(∃⊬D23⨵⪆∃⊬7EB)∀⇚≩(-∃⊬545)=NaN","reverse_text":"NaN=(∃⊬D23⨵⪆∃⊬7EB)∀⇚≩(-∃⊬545)","cot":[{"info":"∃⊬D23⨵⪆∃⊬7EB=∃⊬A0","layer":1},{"info":"-∃⊬545=∃⊬-545","layer":1},{"info":"∃⊬A0∀⇚≩∃⊬-545=NaN","layer":0}]}
+{"id":780,"expression_no_base_symbol":"($1433$%$1952$)⩚⊴⇥($2854$⨵⪆$1310$)","expression":"(∃⊬599%∃⊬7A0)⩚⊴⇥(∃⊬B26⨵⪆∃⊬51E)","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":1433,"base":16},"right_expr":{"type":"numeric_atoms","value":1952,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2854,"base":16},"right_expr":{"type":"numeric_atoms","value":1310,"base":16}}},"used_operators":["NTOWxs364D","k8jYdgA6NY","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-6B2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1433","layer":2},{"info":"number node, value=1952","layer":2},{"info":"compute binary expreesion, left_input=1433, right_input=1952, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1433","layer":1},{"info":"number node, value=2854","layer":2},{"info":"number node, value=1310","layer":2},{"info":"compute binary expreesion, left_input=2854, right_input=1310, 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=1433, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1714","layer":0}],"base":16,"result_base":16,"text":"(∃⊬599%∃⊬7A0)⩚⊴⇥(∃⊬B26⨵⪆∃⊬51E)=∃⊬-6B2","reverse_text":"∃⊬-6B2=(∃⊬599%∃⊬7A0)⩚⊴⇥(∃⊬B26⨵⪆∃⊬51E)","cot":[{"info":"∃⊬599%∃⊬7A0=∃⊬599","layer":1},{"info":"∃⊬B26⨵⪆∃⊬51E=∃⊬A0","layer":1},{"info":"∃⊬599⩚⊴⇥∃⊬A0=∃⊬-6B2","layer":0}]}
+{"id":781,"expression_no_base_symbol":"($4243$⋷$1029$)*$2322$↬$1317$","expression":"(∃⊬1093⋷∃⊬405)*∃⊬912↬∃⊬525","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":4243,"base":16},"right_expr":{"type":"numeric_atoms","value":1029,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2322,"base":16},"right_expr":{"type":"numeric_atoms","value":1317,"base":16}}},"used_operators":["9HNa5Wba9A","23Mk6UjR3U","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4243","layer":2},{"info":"number node, value=1029","layer":2},{"info":"compute binary expreesion, left_input=4243, right_input=1029, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2185","layer":1},{"info":"number node, value=2322","layer":2},{"info":"number node, value=1317","layer":2},{"info":"compute binary expreesion, left_input=2322, right_input=1317, 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=-2185, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1093⋷∃⊬405)*∃⊬912↬∃⊬525=NaN","reverse_text":"NaN=(∃⊬1093⋷∃⊬405)*∃⊬912↬∃⊬525","cot":[{"info":"∃⊬1093⋷∃⊬405=∃⊬-889","layer":1},{"info":"∃⊬912↬∃⊬525=NaN","layer":1},{"info":"∃⊬-889*NaN=NaN","layer":0}]}
+{"id":782,"expression_no_base_symbol":"(↔$3695$)⨎($1882$/$2660$)","expression":"(↔∃⊬E6F)⨎(∃⊬75A/∃⊬A64)","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":3695,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1882,"base":16},"right_expr":{"type":"numeric_atoms","value":2660,"base":16}}},"used_operators":["rJVOvQCfKK","ruOEQAzv1W","XhwjNDsVaA"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3695","layer":2},{"info":"compute unary expreesion, input=3695, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3422","layer":1},{"info":"number node, value=1882","layer":2},{"info":"number node, value=2660","layer":2},{"info":"compute binary expreesion, left_input=1882, right_input=2660, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-3422, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(↔∃⊬E6F)⨎(∃⊬75A/∃⊬A64)=∃⊬0","reverse_text":"∃⊬0=(↔∃⊬E6F)⨎(∃⊬75A/∃⊬A64)","cot":[{"info":"↔∃⊬E6F=∃⊬-D5E","layer":1},{"info":"∃⊬75A/∃⊬A64=∃⊬0","layer":1},{"info":"∃⊬-D5E⨎∃⊬0=∃⊬0","layer":0}]}
+{"id":783,"expression_no_base_symbol":"(⪝⪂⫅$4234$)⋳⪒($1664$⫥∨⫟$2306$)","expression":"(⪝⪂⫅∃⊬108A)⋳⪒(∃⊬680⫥∨⫟∃⊬902)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":311,"operation_count":3,"complexity_ratio":103.66666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4234,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1664,"base":16},"right_expr":{"type":"numeric_atoms","value":2306,"base":16}}},"used_operators":["12rbrZMWeM","XTarYq4gQB","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4234","layer":2},{"info":"compute unary expreesion, input=4234, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-622398","layer":1},{"info":"number node, value=1664","layer":2},{"info":"number node, value=2306","layer":2},{"info":"compute binary expreesion, left_input=1664, right_input=2306, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-622398, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅∃⊬108A)⋳⪒(∃⊬680⫥∨⫟∃⊬902)=NaN","reverse_text":"NaN=(⪝⪂⫅∃⊬108A)⋳⪒(∃⊬680⫥∨⫟∃⊬902)","cot":[{"info":"⪝⪂⫅∃⊬108A=∃⊬-97F3E","layer":1},{"info":"∃⊬680⫥∨⫟∃⊬902=NaN","layer":1},{"info":"∃⊬-97F3E⋳⪒NaN=NaN","layer":0}]}
+{"id":784,"expression_no_base_symbol":"(↽≂$4864$)⊘","expression":"(↽≂∃⊬1300)⊘","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":4864,"base":16}}},"used_operators":["gu96TGCTMs","u6S6b8DprG"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4864","layer":2},{"info":"compute unary expreesion, input=4864, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9728","layer":1},{"info":"compute unary expreesion, input=-9728, 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":16,"result_base":16,"text":"(↽≂∃⊬1300)⊘=∃⊬-1","reverse_text":"∃⊬-1=(↽≂∃⊬1300)⊘","cot":[{"info":"↽≂∃⊬1300=∃⊬-2600","layer":1},{"info":"∃⊬-2600⊘=∃⊬-1","layer":0}]}
+{"id":785,"expression_no_base_symbol":"$1485$⊭↱$1282$-$2870$⋳⪒$3923$","expression":"∃⊬5CD⊭↱∃⊬502-∃⊬B36⋳⪒∃⊬F53","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":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1485,"base":16},"right_expr":{"type":"numeric_atoms","value":1282,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2870,"base":16},"right_expr":{"type":"numeric_atoms","value":3923,"base":16}}},"used_operators":["rysDP5nf3Z","COABgblf1C","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-78B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1485","layer":2},{"info":"number node, value=1282","layer":2},{"info":"compute binary expreesion, left_input=1485, right_input=1282, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-401","layer":1},{"info":"number node, value=2870","layer":2},{"info":"number node, value=3923","layer":2},{"info":"compute binary expreesion, left_input=2870, right_input=3923, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1530","layer":1},{"info":"compute binary expreesion, left_input=-401, right_input=1530, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1931","layer":0}],"base":16,"result_base":16,"text":"∃⊬5CD⊭↱∃⊬502-∃⊬B36⋳⪒∃⊬F53=∃⊬-78B","reverse_text":"∃⊬-78B=∃⊬5CD⊭↱∃⊬502-∃⊬B36⋳⪒∃⊬F53","cot":[{"info":"∃⊬5CD⊭↱∃⊬502=∃⊬-191","layer":1},{"info":"∃⊬B36⋳⪒∃⊬F53=∃⊬5FA","layer":1},{"info":"∃⊬-191-∃⊬5FA=∃⊬-78B","layer":0}]}
+{"id":786,"expression_no_base_symbol":"$3960$⫥∨⫟$2739$⫡⨏($5846$⋷$1544$)","expression":"∃⊬F78⫥∨⫟∃⊬AB3⫡⨏(∃⊬16D6⋷∃⊬608)","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":3960,"base":16},"right_expr":{"type":"numeric_atoms","value":2739,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5846,"base":16},"right_expr":{"type":"numeric_atoms","value":1544,"base":16}}},"used_operators":["QMFrweE19q","KYD54nUTWz","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3960","layer":2},{"info":"number node, value=2739","layer":2},{"info":"compute binary expreesion, left_input=3960, right_input=2739, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5846","layer":2},{"info":"number node, value=1544","layer":2},{"info":"compute binary expreesion, left_input=5846, right_input=1544, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2758","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2758, 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":16,"result_base":16,"text":"∃⊬F78⫥∨⫟∃⊬AB3⫡⨏(∃⊬16D6⋷∃⊬608)=NaN","reverse_text":"NaN=∃⊬F78⫥∨⫟∃⊬AB3⫡⨏(∃⊬16D6⋷∃⊬608)","cot":[{"info":"∃⊬F78⫥∨⫟∃⊬AB3=NaN","layer":1},{"info":"∃⊬16D6⋷∃⊬608=∃⊬-AC6","layer":1},{"info":"NaN⫡⨏∃⊬-AC6=NaN","layer":0}]}
+{"id":787,"expression_no_base_symbol":"($2316$∸)↬($1791$⫌⩹⨱)","expression":"(∃⊬90C∸)↬(∃⊬6FF⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":185,"operation_count":3,"complexity_ratio":61.666666666666664,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2316,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1791,"base":16}}},"used_operators":["B5M0gjZbta","o20kRiQErp","EBcxylXtPf"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2316","layer":2},{"info":"compute unary expreesion, input=2316, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1791","layer":2},{"info":"compute unary expreesion, input=1791, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4983","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=4983, 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":16,"result_base":16,"text":"(∃⊬90C∸)↬(∃⊬6FF⫌⩹⨱)=NaN","reverse_text":"NaN=(∃⊬90C∸)↬(∃⊬6FF⫌⩹⨱)","cot":[{"info":"∃⊬90C∸=∃⊬B1","layer":1},{"info":"∃⊬6FF⫌⩹⨱=∃⊬1377","layer":1},{"info":"∃⊬B1↬∃⊬1377=NaN","layer":0}]}
+{"id":788,"expression_no_base_symbol":"$3147$∑⇟⊟$3230$⫸⊐($1570$≫≃)","expression":"∃⊬C4B∑⇟⊟∃⊬C9E⫸⊐(∃⊬622≫≃)","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":3147,"base":16},"right_expr":{"type":"numeric_atoms","value":3230,"base":16}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1570,"base":16}}},"used_operators":["mqXw5SEYmG","U7g4x0WXJJ","X99M06cbEe"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3147","layer":2},{"info":"number node, value=3230","layer":2},{"info":"compute binary expreesion, left_input=3147, right_input=3230, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1570","layer":2},{"info":"compute unary expreesion, input=1570, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4541","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4541, 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":16,"result_base":16,"text":"∃⊬C4B∑⇟⊟∃⊬C9E⫸⊐(∃⊬622≫≃)=NaN","reverse_text":"NaN=∃⊬C4B∑⇟⊟∃⊬C9E⫸⊐(∃⊬622≫≃)","cot":[{"info":"∃⊬C4B∑⇟⊟∃⊬C9E=NaN","layer":1},{"info":"∃⊬622≫≃=∃⊬11BD","layer":1},{"info":"NaN⫸⊐∃⊬11BD=NaN","layer":0}]}
+{"id":789,"expression_no_base_symbol":"↯⪼(∂$1397$)","expression":"↯⪼(∂∃⊬575)","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":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1397,"base":16}}},"used_operators":["8jW3W4yZS5","Uaa54Peajs"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1397","layer":2},{"info":"compute unary expreesion, input=1397, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∂∃⊬575)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(∂∃⊬575)","cot":[{"info":"∂∃⊬575=NaN","layer":1},{"info":"↯⪼NaN=∃⊬-15","layer":0}]}
+{"id":790,"expression_no_base_symbol":"⩦⩻⨪(↩$3174$)","expression":"⩦⩻⨪(↩∃⊬C66)","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":3174,"base":16}}},"used_operators":["2td37pGCOC","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"∃⊬-5854","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3174","layer":2},{"info":"compute unary expreesion, input=3174, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22612","layer":1},{"info":"compute unary expreesion, input=-22612, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-22612","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪(↩∃⊬C66)=∃⊬-5854","reverse_text":"∃⊬-5854=⩦⩻⨪(↩∃⊬C66)","cot":[{"info":"↩∃⊬C66=∃⊬-5854","layer":1},{"info":"⩦⩻⨪∃⊬-5854=∃⊬-5854","layer":0}]}
+{"id":791,"expression_no_base_symbol":"($2589$⋳⪒$2035$)≭($2000$⪨≂$5690$)","expression":"(∃⊬A1D⋳⪒∃⊬7F3)≭(∃⊬7D0⪨≂∃⊬163A)","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":2589,"base":16},"right_expr":{"type":"numeric_atoms","value":2035,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2000,"base":16},"right_expr":{"type":"numeric_atoms","value":5690,"base":16}}},"used_operators":["rxpJgHHUmx","12rbrZMWeM","sdazOOVcIp"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":2},{"info":"number node, value=2035","layer":2},{"info":"compute binary expreesion, left_input=2589, right_input=2035, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2856","layer":1},{"info":"number node, value=2000","layer":2},{"info":"number node, value=5690","layer":2},{"info":"compute binary expreesion, left_input=2000, right_input=5690, 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=-7278","layer":1},{"info":"compute binary expreesion, left_input=2856, right_input=-7278, 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":16,"result_base":16,"text":"(∃⊬A1D⋳⪒∃⊬7F3)≭(∃⊬7D0⪨≂∃⊬163A)=NaN","reverse_text":"NaN=(∃⊬A1D⋳⪒∃⊬7F3)≭(∃⊬7D0⪨≂∃⊬163A)","cot":[{"info":"∃⊬A1D⋳⪒∃⊬7F3=∃⊬B28","layer":1},{"info":"∃⊬7D0⪨≂∃⊬163A=∃⊬-1C6E","layer":1},{"info":"∃⊬B28≭∃⊬-1C6E=NaN","layer":0}]}
+{"id":792,"expression_no_base_symbol":"∂$3017$∼$6019$","expression":"∂∃⊬BC9∼∃⊬1783","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":62,"operation_count":2,"complexity_ratio":31.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3017,"base":16},"right_expr":{"type":"numeric_atoms","value":6019,"base":16}}},"used_operators":["Uaa54Peajs","DyGG3AbaNP"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3017","layer":2},{"info":"number node, value=6019","layer":2},{"info":"compute binary expreesion, left_input=3017, right_input=6019, 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 = 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":16,"result_base":16,"text":"∂∃⊬BC9∼∃⊬1783=NaN","reverse_text":"NaN=∂∃⊬BC9∼∃⊬1783","cot":[{"info":"∃⊬BC9∼∃⊬1783=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
+{"id":793,"expression_no_base_symbol":"(⨰⫟⨤$1936$)⋫","expression":"(⨰⫟⨤∃⊬790)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6905,"operation_count":2,"complexity_ratio":3452.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1936,"base":16}}},"used_operators":["JL8yIekQnl","Tw270M8GLb"],"dependent_operators":["tmPS8pqC7x","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1936","layer":2},{"info":"compute unary expreesion, input=1936, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨰⫟⨤∃⊬790)⋫=NaN","reverse_text":"NaN=(⨰⫟⨤∃⊬790)⋫","cot":[{"info":"⨰⫟⨤∃⊬790=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
+{"id":794,"expression_no_base_symbol":"$2536$∲⫓$2094$/$6308$*$1262$","expression":"∃⊬9E8∲⫓∃⊬82E/∃⊬18A4*∃⊬4EE","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1265,"operation_count":3,"complexity_ratio":421.6666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2536,"base":16},"right_expr":{"type":"numeric_atoms","value":2094,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6308,"base":16},"right_expr":{"type":"numeric_atoms","value":1262,"base":16}}},"used_operators":["XhwjNDsVaA","i8ToyICDmI","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2536","layer":2},{"info":"number node, value=2094","layer":2},{"info":"compute binary expreesion, left_input=2536, right_input=2094, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=6308","layer":2},{"info":"number node, value=1262","layer":2},{"info":"compute binary expreesion, left_input=6308, right_input=1262, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7960696","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=7960696, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬9E8∲⫓∃⊬82E/∃⊬18A4*∃⊬4EE=∃⊬0","reverse_text":"∃⊬0=∃⊬9E8∲⫓∃⊬82E/∃⊬18A4*∃⊬4EE","cot":[{"info":"∃⊬9E8∲⫓∃⊬82E=∃⊬0","layer":1},{"info":"∃⊬18A4*∃⊬4EE=∃⊬797878","layer":1},{"info":"∃⊬0/∃⊬797878=∃⊬0","layer":0}]}
+{"id":795,"expression_no_base_symbol":"$3990$∀⇚≩$1652$⨳⩥⨓$1289$⇷$1004$","expression":"∃⊬F96∀⇚≩∃⊬674⨳⩥⨓∃⊬509⇷∃⊬3EC","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":45985,"operation_count":3,"complexity_ratio":15328.333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3990,"base":16},"right_expr":{"type":"numeric_atoms","value":1652,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1289,"base":16},"right_expr":{"type":"numeric_atoms","value":1004,"base":16}}},"used_operators":["nCS4ZIUYfx","LRNGc0VcxI","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3990","layer":2},{"info":"number node, value=1652","layer":2},{"info":"compute binary expreesion, left_input=3990, right_input=1652, 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=1289","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=1289, right_input=1004, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2008","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2008, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬F96∀⇚≩∃⊬674⨳⩥⨓∃⊬509⇷∃⊬3EC=NaN","reverse_text":"NaN=∃⊬F96∀⇚≩∃⊬674⨳⩥⨓∃⊬509⇷∃⊬3EC","cot":[{"info":"∃⊬F96∀⇚≩∃⊬674=NaN","layer":1},{"info":"∃⊬509⇷∃⊬3EC=∃⊬7D8","layer":1},{"info":"NaN⨳⩥⨓∃⊬7D8=NaN","layer":0}]}
+{"id":796,"expression_no_base_symbol":"⊥(∂$6790$)","expression":"⊥(∂∃⊬1A86)","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":6790,"base":16}}},"used_operators":["Q3PJZHRvZv","Uaa54Peajs"],"dependent_operators":["fu6greOZ01","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6790","layer":2},{"info":"compute unary expreesion, input=6790, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(∂∃⊬1A86)=NaN","reverse_text":"NaN=⊥(∂∃⊬1A86)","cot":[{"info":"∂∃⊬1A86=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
+{"id":797,"expression_no_base_symbol":"($1236$⊘)%$3351$+⇶⊼$2750$","expression":"(∃⊬4D4⊘)%∃⊬D17+⇶⊼∃⊬ABE","highest_n_order":5,"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":1236,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3351,"base":16},"right_expr":{"type":"numeric_atoms","value":2750,"base":16}}},"used_operators":["k8jYdgA6NY","gu96TGCTMs","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1236","layer":2},{"info":"compute unary expreesion, input=1236, 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=3351","layer":2},{"info":"number node, value=2750","layer":2},{"info":"compute binary expreesion, left_input=3351, right_input=2750, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4D4⊘)%∃⊬D17+⇶⊼∃⊬ABE=NaN","reverse_text":"NaN=(∃⊬4D4⊘)%∃⊬D17+⇶⊼∃⊬ABE","cot":[{"info":"∃⊬4D4⊘=∃⊬0","layer":1},{"info":"∃⊬D17+⇶⊼∃⊬ABE=NaN","layer":1},{"info":"∃⊬0%NaN=NaN","layer":0}]}
+{"id":798,"expression_no_base_symbol":"+⊝⨔($1561$⇋≉)","expression":"+⊝⨔(∃⊬619⇋≉)","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":1561,"base":16}}},"used_operators":["DhbWaqg5eL","XIabStNQrY"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1561","layer":2},{"info":"compute unary expreesion, input=1561, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3024","layer":1},{"info":"compute unary expreesion, input=3024, 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":16,"result_base":16,"text":"+⊝⨔(∃⊬619⇋≉)=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(∃⊬619⇋≉)","cot":[{"info":"∃⊬619⇋≉=∃⊬BD0","layer":1},{"info":"+⊝⨔∃⊬BD0=∃⊬5F2","layer":0}]}
+{"id":799,"expression_no_base_symbol":"$4460$⋥≓≎$7680$∲⫓(⨞⊢$2278$)","expression":"∃⊬116C⋥≓≎∃⊬1E00∲⫓(⨞⊢∃⊬8E6)","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":4460,"base":16},"right_expr":{"type":"numeric_atoms","value":7680,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2278,"base":16}}},"used_operators":["i8ToyICDmI","Qy55tPpLXF","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬2AB5","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4460","layer":2},{"info":"number node, value=7680","layer":2},{"info":"compute binary expreesion, left_input=4460, right_input=7680, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10933","layer":1},{"info":"number node, value=2278","layer":2},{"info":"compute unary expreesion, input=2278, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2452","layer":1},{"info":"compute binary expreesion, left_input=10933, right_input=-2452, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=10933","layer":0}],"base":16,"result_base":16,"text":"∃⊬116C⋥≓≎∃⊬1E00∲⫓(⨞⊢∃⊬8E6)=∃⊬2AB5","reverse_text":"∃⊬2AB5=∃⊬116C⋥≓≎∃⊬1E00∲⫓(⨞⊢∃⊬8E6)","cot":[{"info":"∃⊬116C⋥≓≎∃⊬1E00=∃⊬2AB5","layer":1},{"info":"⨞⊢∃⊬8E6=∃⊬-994","layer":1},{"info":"∃⊬2AB5∲⫓∃⊬-994=∃⊬2AB5","layer":0}]}
+{"id":800,"expression_no_base_symbol":"↥(↣≠⋷$2264$)","expression":"↥(↣≠⋷∃⊬8D8)","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":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2264,"base":16}}},"used_operators":["A8NUZmVepG","Asc51vEJeQ"],"dependent_operators":["k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2264","layer":2},{"info":"compute unary expreesion, input=2264, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↥(↣≠⋷∃⊬8D8)=NaN","reverse_text":"NaN=↥(↣≠⋷∃⊬8D8)","cot":[{"info":"↣≠⋷∃⊬8D8=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
+{"id":801,"expression_no_base_symbol":"$3286$↺$5697$↛⩡⫤","expression":"∃⊬CD6↺∃⊬1641↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17227,"operation_count":2,"complexity_ratio":8613.5,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3286,"base":16},"right_expr":{"type":"numeric_atoms","value":5697,"base":16}}},"used_operators":["FU0Cs4j7VP","7j4O788W3g"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-D1110","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3286","layer":2},{"info":"number node, value=5697","layer":2},{"info":"compute binary expreesion, left_input=3286, right_input=5697, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5697","layer":1},{"info":"compute unary expreesion, input=5697, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-856336","layer":0}],"base":16,"result_base":16,"text":"∃⊬CD6↺∃⊬1641↛⩡⫤=∃⊬-D1110","reverse_text":"∃⊬-D1110=∃⊬CD6↺∃⊬1641↛⩡⫤","cot":[{"info":"∃⊬CD6↺∃⊬1641=∃⊬1641","layer":1},{"info":"∃⊬1641↛⩡⫤=∃⊬-D1110","layer":0}]}
+{"id":802,"expression_no_base_symbol":"($2380$⪐)∼($2962$⋳⪒$2354$)","expression":"(∃⊬94C⪐)∼(∃⊬B92⋳⪒∃⊬932)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2380,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2962,"base":16},"right_expr":{"type":"numeric_atoms","value":2354,"base":16}}},"used_operators":["DyGG3AbaNP","eH2TOUuTDT","12rbrZMWeM"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2380","layer":2},{"info":"compute unary expreesion, input=2380, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4760","layer":1},{"info":"number node, value=2962","layer":2},{"info":"number node, value=2354","layer":2},{"info":"compute binary expreesion, left_input=2962, right_input=2354, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3283","layer":1},{"info":"compute binary expreesion, left_input=4760, right_input=3283, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬94C⪐)∼(∃⊬B92⋳⪒∃⊬932)=NaN","reverse_text":"NaN=(∃⊬94C⪐)∼(∃⊬B92⋳⪒∃⊬932)","cot":[{"info":"∃⊬94C⪐=∃⊬1298","layer":1},{"info":"∃⊬B92⋳⪒∃⊬932=∃⊬CD3","layer":1},{"info":"∃⊬1298∼∃⊬CD3=NaN","layer":0}]}
+{"id":803,"expression_no_base_symbol":"↽≂$1609$⨎$3468$","expression":"↽≂∃⊬649⨎∃⊬D8C","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":1609,"base":16},"right_expr":{"type":"numeric_atoms","value":3468,"base":16}}},"used_operators":["u6S6b8DprG","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬-1B18","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":2},{"info":"number node, value=3468","layer":2},{"info":"compute binary expreesion, left_input=1609, right_input=3468, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3468","layer":1},{"info":"compute unary expreesion, input=3468, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6936","layer":0}],"base":16,"result_base":16,"text":"↽≂∃⊬649⨎∃⊬D8C=∃⊬-1B18","reverse_text":"∃⊬-1B18=↽≂∃⊬649⨎∃⊬D8C","cot":[{"info":"∃⊬649⨎∃⊬D8C=∃⊬D8C","layer":1},{"info":"↽≂∃⊬D8C=∃⊬-1B18","layer":0}]}
+{"id":804,"expression_no_base_symbol":"($3798$⨎$4334$)⋝⋈⪟($2771$⋥≓≎$6922$)","expression":"(∃⊬ED6⨎∃⊬10EE)⋝⋈⪟(∃⊬AD3⋥≓≎∃⊬1B0A)","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":3798,"base":16},"right_expr":{"type":"numeric_atoms","value":4334,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2771,"base":16},"right_expr":{"type":"numeric_atoms","value":6922,"base":16}}},"used_operators":["2DDjHMKMc0","rJVOvQCfKK","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬10EE","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3798","layer":2},{"info":"number node, value=4334","layer":2},{"info":"compute binary expreesion, left_input=3798, right_input=4334, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4334","layer":1},{"info":"number node, value=2771","layer":2},{"info":"number node, value=6922","layer":2},{"info":"compute binary expreesion, left_input=2771, right_input=6922, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11106","layer":1},{"info":"compute binary expreesion, left_input=4334, right_input=11106, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4334","layer":0}],"base":16,"result_base":16,"text":"(∃⊬ED6⨎∃⊬10EE)⋝⋈⪟(∃⊬AD3⋥≓≎∃⊬1B0A)=∃⊬10EE","reverse_text":"∃⊬10EE=(∃⊬ED6⨎∃⊬10EE)⋝⋈⪟(∃⊬AD3⋥≓≎∃⊬1B0A)","cot":[{"info":"∃⊬ED6⨎∃⊬10EE=∃⊬10EE","layer":1},{"info":"∃⊬AD3⋥≓≎∃⊬1B0A=∃⊬2B62","layer":1},{"info":"∃⊬10EE⋝⋈⪟∃⊬2B62=∃⊬10EE","layer":0}]}
+{"id":805,"expression_no_base_symbol":"$1517$↬$1865$⋷(∂$8258$)","expression":"∃⊬5ED↬∃⊬749⋷(∂∃⊬2042)","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":1517,"base":16},"right_expr":{"type":"numeric_atoms","value":1865,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8258,"base":16}}},"used_operators":["23Mk6UjR3U","B5M0gjZbta","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1517","layer":2},{"info":"number node, value=1865","layer":2},{"info":"compute binary expreesion, left_input=1517, right_input=1865, 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=8258","layer":2},{"info":"compute unary expreesion, input=8258, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬5ED↬∃⊬749⋷(∂∃⊬2042)=NaN","reverse_text":"NaN=∃⊬5ED↬∃⊬749⋷(∂∃⊬2042)","cot":[{"info":"∃⊬5ED↬∃⊬749=NaN","layer":1},{"info":"∂∃⊬2042=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
+{"id":806,"expression_no_base_symbol":"($7922$⊉≛↸$1390$)⪛(⊙↵-$1195$)","expression":"(∃⊬1EF2⊉≛↸∃⊬56E)⪛(⊙↵-∃⊬4AB)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17090,"operation_count":3,"complexity_ratio":5696.666666666667,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7922,"base":16},"right_expr":{"type":"numeric_atoms","value":1390,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1195,"base":16}}},"used_operators":["uFcxV4UQCh","DZ8iAZOCBD","oWn0xqSxBt"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7922","layer":2},{"info":"number node, value=1390","layer":2},{"info":"compute binary expreesion, left_input=7922, right_input=1390, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15844","layer":1},{"info":"number node, value=1195","layer":2},{"info":"compute unary expreesion, input=1195, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=15844, right_input=-1, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1EF2⊉≛↸∃⊬56E)⪛(⊙↵-∃⊬4AB)=∃⊬0","reverse_text":"∃⊬0=(∃⊬1EF2⊉≛↸∃⊬56E)⪛(⊙↵-∃⊬4AB)","cot":[{"info":"∃⊬1EF2⊉≛↸∃⊬56E=∃⊬3DE4","layer":1},{"info":"⊙↵-∃⊬4AB=∃⊬-1","layer":1},{"info":"∃⊬3DE4⪛∃⊬-1=∃⊬0","layer":0}]}
+{"id":807,"expression_no_base_symbol":"($2234$⋥≓≎$2883$)⨟⋌⩍(-$6456$)","expression":"(∃⊬8BA⋥≓≎∃⊬B43)⨟⋌⩍(-∃⊬1938)","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":2234,"base":16},"right_expr":{"type":"numeric_atoms","value":2883,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6456,"base":16}}},"used_operators":["rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2234","layer":2},{"info":"number node, value=2883","layer":2},{"info":"compute binary expreesion, left_input=2234, right_input=2883, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3565","layer":1},{"info":"number node, value=6456","layer":2},{"info":"compute unary expreesion, input=6456, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6456","layer":1},{"info":"compute binary expreesion, left_input=3565, right_input=-6456, 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":16,"result_base":16,"text":"(∃⊬8BA⋥≓≎∃⊬B43)⨟⋌⩍(-∃⊬1938)=NaN","reverse_text":"NaN=(∃⊬8BA⋥≓≎∃⊬B43)⨟⋌⩍(-∃⊬1938)","cot":[{"info":"∃⊬8BA⋥≓≎∃⊬B43=∃⊬DED","layer":1},{"info":"-∃⊬1938=∃⊬-1938","layer":1},{"info":"∃⊬DED⨟⋌⩍∃⊬-1938=NaN","layer":0}]}
+{"id":808,"expression_no_base_symbol":"($2651$⨁⊸⫻)⪢$4625$⪮%⊝$3814$","expression":"(∃⊬A5B⨁⊸⫻)⪢∃⊬1211⪮%⊝∃⊬EE6","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9576,"operation_count":3,"complexity_ratio":3192.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2651,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4625,"base":16},"right_expr":{"type":"numeric_atoms","value":3814,"base":16}}},"used_operators":["dWAJyo7jo9","glklzrTFfD","IWmyXbctLI"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2651","layer":2},{"info":"compute unary expreesion, input=2651, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2651","layer":1},{"info":"number node, value=4625","layer":2},{"info":"number node, value=3814","layer":2},{"info":"compute binary expreesion, left_input=4625, right_input=3814, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9566","layer":1},{"info":"compute binary expreesion, left_input=2651, right_input=9566, 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":16,"result_base":16,"text":"(∃⊬A5B⨁⊸⫻)⪢∃⊬1211⪮%⊝∃⊬EE6=NaN","reverse_text":"NaN=(∃⊬A5B⨁⊸⫻)⪢∃⊬1211⪮%⊝∃⊬EE6","cot":[{"info":"∃⊬A5B⨁⊸⫻=∃⊬A5B","layer":1},{"info":"∃⊬1211⪮%⊝∃⊬EE6=∃⊬255E","layer":1},{"info":"∃⊬A5B⪢∃⊬255E=NaN","layer":0}]}
+{"id":809,"expression_no_base_symbol":"$6410$⩷∴$1425$⨰$5118$∀⇚≩$3303$","expression":"∃⊬190A⩷∴∃⊬591⨰∃⊬13FE∀⇚≩∃⊬CE7","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35838,"operation_count":3,"complexity_ratio":11946.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6410,"base":16},"right_expr":{"type":"numeric_atoms","value":1425,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5118,"base":16},"right_expr":{"type":"numeric_atoms","value":3303,"base":16}}},"used_operators":["eewbuw0ToL","9FxExcQeMw","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6410","layer":2},{"info":"number node, value=1425","layer":2},{"info":"compute binary expreesion, left_input=6410, right_input=1425, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9938","layer":1},{"info":"number node, value=5118","layer":2},{"info":"number node, value=3303","layer":2},{"info":"compute binary expreesion, left_input=5118, right_input=3303, 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=9938, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬190A⩷∴∃⊬591⨰∃⊬13FE∀⇚≩∃⊬CE7=NaN","reverse_text":"NaN=∃⊬190A⩷∴∃⊬591⨰∃⊬13FE∀⇚≩∃⊬CE7","cot":[{"info":"∃⊬190A⩷∴∃⊬591=∃⊬26D2","layer":1},{"info":"∃⊬13FE∀⇚≩∃⊬CE7=NaN","layer":1},{"info":"∃⊬26D2⨰NaN=NaN","layer":0}]}
+{"id":810,"expression_no_base_symbol":"($2573$⩤)⊉≛↸$2072$⪄$2300$","expression":"(∃⊬A0D⩤)⊉≛↸∃⊬818⪄∃⊬8FC","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":100,"operation_count":3,"complexity_ratio":33.333333333333336,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2573,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2072,"base":16},"right_expr":{"type":"numeric_atoms","value":2300,"base":16}}},"used_operators":["DZ8iAZOCBD","Z2TMIBDE3Q","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬4C289","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2573","layer":2},{"info":"compute unary expreesion, input=2573, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2573","layer":1},{"info":"number node, value=2072","layer":2},{"info":"number node, value=2300","layer":2},{"info":"compute binary expreesion, left_input=2072, right_input=2300, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-311945","layer":1},{"info":"compute binary expreesion, left_input=-2573, right_input=-311945, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=311945","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A0D⩤)⊉≛↸∃⊬818⪄∃⊬8FC=∃⊬4C289","reverse_text":"∃⊬4C289=(∃⊬A0D⩤)⊉≛↸∃⊬818⪄∃⊬8FC","cot":[{"info":"∃⊬A0D⩤=∃⊬-A0D","layer":1},{"info":"∃⊬818⪄∃⊬8FC=∃⊬-4C289","layer":1},{"info":"∃⊬-A0D⊉≛↸∃⊬-4C289=∃⊬4C289","layer":0}]}
+{"id":811,"expression_no_base_symbol":"$2673$↬$1174$⪄$6658$≹⇙⪍$4749$","expression":"∃⊬A71↬∃⊬496⪄∃⊬1A02≹⇙⪍∃⊬128D","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2673,"base":16},"right_expr":{"type":"numeric_atoms","value":1174,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6658,"base":16},"right_expr":{"type":"numeric_atoms","value":4749,"base":16}}},"used_operators":["SUmda5xLS4","B5M0gjZbta","AHs5Up7iyr"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","dWAJyo7jo9"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2673","layer":2},{"info":"number node, value=1174","layer":2},{"info":"compute binary expreesion, left_input=2673, right_input=1174, 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=6658","layer":2},{"info":"number node, value=4749","layer":2},{"info":"compute binary expreesion, left_input=6658, right_input=4749, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":16,"result_base":16,"text":"∃⊬A71↬∃⊬496⪄∃⊬1A02≹⇙⪍∃⊬128D=∃⊬F8B","reverse_text":"∃⊬F8B=∃⊬A71↬∃⊬496⪄∃⊬1A02≹⇙⪍∃⊬128D","cot":[{"info":"∃⊬A71↬∃⊬496=NaN","layer":1},{"info":"∃⊬1A02≹⇙⪍∃⊬128D=NaN","layer":1},{"info":"NaN⪄NaN=∃⊬F8B","layer":0}]}
+{"id":812,"expression_no_base_symbol":"($2912$+$1069$)⇷$1338$⪛$4277$","expression":"(∃⊬B60+∃⊬42D)⇷∃⊬53A⪛∃⊬10B5","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55745,"operation_count":3,"complexity_ratio":18581.666666666668,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2912,"base":16},"right_expr":{"type":"numeric_atoms","value":1069,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1338,"base":16},"right_expr":{"type":"numeric_atoms","value":4277,"base":16}}},"used_operators":["mp7IySMOzn","W4YGzv6Whe","uFcxV4UQCh"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬A74","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2912","layer":2},{"info":"number node, value=1069","layer":2},{"info":"compute binary expreesion, left_input=2912, right_input=1069, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3981","layer":1},{"info":"number node, value=1338","layer":2},{"info":"number node, value=4277","layer":2},{"info":"compute binary expreesion, left_input=1338, right_input=4277, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1338","layer":1},{"info":"compute binary expreesion, left_input=3981, right_input=1338, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2676","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B60+∃⊬42D)⇷∃⊬53A⪛∃⊬10B5=∃⊬A74","reverse_text":"∃⊬A74=(∃⊬B60+∃⊬42D)⇷∃⊬53A⪛∃⊬10B5","cot":[{"info":"∃⊬B60+∃⊬42D=∃⊬F8D","layer":1},{"info":"∃⊬53A⪛∃⊬10B5=∃⊬53A","layer":1},{"info":"∃⊬F8D⇷∃⊬53A=∃⊬A74","layer":0}]}
+{"id":813,"expression_no_base_symbol":"($9502$⨪↰⇹$1422$)↬($1357$⩠)","expression":"(∃⊬251E⨪↰⇹∃⊬58E)↬(∃⊬54D⩠)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9521,"operation_count":3,"complexity_ratio":3173.6666666666665,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":9502,"base":16},"right_expr":{"type":"numeric_atoms","value":1422,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1357,"base":16}}},"used_operators":["B5M0gjZbta","tmPS8pqC7x","sJAwomhLZr"],"dependent_operators":["rGHVDoGpnC","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=9502","layer":2},{"info":"number node, value=1422","layer":2},{"info":"compute binary expreesion, left_input=9502, right_input=1422, 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=9502","layer":1},{"info":"number node, value=1357","layer":2},{"info":"compute unary expreesion, input=1357, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=9502, 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":16,"result_base":16,"text":"(∃⊬251E⨪↰⇹∃⊬58E)↬(∃⊬54D⩠)=NaN","reverse_text":"NaN=(∃⊬251E⨪↰⇹∃⊬58E)↬(∃⊬54D⩠)","cot":[{"info":"∃⊬251E⨪↰⇹∃⊬58E=∃⊬251E","layer":1},{"info":"∃⊬54D⩠=∃⊬0","layer":1},{"info":"∃⊬251E↬∃⊬0=NaN","layer":0}]}
+{"id":814,"expression_no_base_symbol":"$2081$⨪↰⇹$1697$⨳⩥⨓(⨑⩽⪐$2404$)","expression":"∃⊬821⨪↰⇹∃⊬6A1⨳⩥⨓(⨑⩽⪐∃⊬964)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2088,"operation_count":3,"complexity_ratio":696.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2081,"base":16},"right_expr":{"type":"numeric_atoms","value":1697,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2404,"base":16}}},"used_operators":["nCS4ZIUYfx","tmPS8pqC7x","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-1074","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2081","layer":2},{"info":"number node, value=1697","layer":2},{"info":"compute binary expreesion, left_input=2081, right_input=1697, 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=2081","layer":1},{"info":"number node, value=2404","layer":2},{"info":"compute unary expreesion, input=2404, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2131","layer":1},{"info":"compute binary expreesion, left_input=2081, right_input=-2131, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4212","layer":0}],"base":16,"result_base":16,"text":"∃⊬821⨪↰⇹∃⊬6A1⨳⩥⨓(⨑⩽⪐∃⊬964)=∃⊬-1074","reverse_text":"∃⊬-1074=∃⊬821⨪↰⇹∃⊬6A1⨳⩥⨓(⨑⩽⪐∃⊬964)","cot":[{"info":"∃⊬821⨪↰⇹∃⊬6A1=∃⊬821","layer":1},{"info":"⨑���⪐∃⊬964=∃⊬-853","layer":1},{"info":"∃⊬821⨳⩥⨓∃⊬-853=∃⊬-1074","layer":0}]}
+{"id":815,"expression_no_base_symbol":"$2289$⊴$6104$⨵⪆(↔$4166$)","expression":"∃⊬8F1⊴∃⊬17D8⨵⪆(↔∃⊬1046)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6118,"operation_count":3,"complexity_ratio":2039.3333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2289,"base":16},"right_expr":{"type":"numeric_atoms","value":6104,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4166,"base":16}}},"used_operators":["2DQ55sFlQl","Nsiff2A1zJ","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2289","layer":2},{"info":"number node, value=6104","layer":2},{"info":"compute binary expreesion, left_input=2289, right_input=6104, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4166","layer":2},{"info":"compute unary expreesion, input=4166, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3893","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3893, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬8F1⊴∃⊬17D8⨵⪆(↔∃⊬1046)=∃⊬A0","reverse_text":"∃⊬A0=∃⊬8F1⊴∃⊬17D8⨵⪆(↔∃⊬1046)","cot":[{"info":"∃⊬8F1⊴∃⊬17D8=NaN","layer":1},{"info":"↔∃⊬1046=∃⊬-F35","layer":1},{"info":"NaN⨵⪆∃⊬-F35=∃⊬A0","layer":0}]}
+{"id":816,"expression_no_base_symbol":"$3432$⇷$1911$⫸⊐$4413$⪮%⊝$2440$","expression":"∃⊬D68⇷∃⊬777⫸⊐∃⊬113D⪮%⊝∃⊬988","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48087,"operation_count":3,"complexity_ratio":16029.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3432,"base":16},"right_expr":{"type":"numeric_atoms","value":1911,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4413,"base":16},"right_expr":{"type":"numeric_atoms","value":2440,"base":16}}},"used_operators":["mqXw5SEYmG","mp7IySMOzn","IWmyXbctLI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬8E5B","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3432","layer":2},{"info":"number node, value=1911","layer":2},{"info":"compute binary expreesion, left_input=3432, right_input=1911, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3822","layer":1},{"info":"number node, value=4413","layer":2},{"info":"number node, value=2440","layer":2},{"info":"compute binary expreesion, left_input=4413, right_input=2440, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9142","layer":1},{"info":"compute binary expreesion, left_input=3822, right_input=9142, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=36443","layer":0}],"base":16,"result_base":16,"text":"∃⊬D68⇷∃⊬777⫸⊐∃⊬113D⪮%⊝∃⊬988=∃⊬8E5B","reverse_text":"∃⊬8E5B=∃⊬D68⇷∃⊬777⫸⊐∃⊬113D⪮%⊝∃⊬988","cot":[{"info":"∃⊬D68⇷∃⊬777=∃⊬EEE","layer":1},{"info":"∃⊬113D⪮%⊝∃⊬988=∃⊬23B6","layer":1},{"info":"∃⊬EEE⫸⊐∃⊬23B6=∃⊬8E5B","layer":0}]}
+{"id":817,"expression_no_base_symbol":"↥(∂$1989$)","expression":"↥(∂∃⊬7C5)","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":1989,"base":16}}},"used_operators":["A8NUZmVepG","Uaa54Peajs"],"dependent_operators":["k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1989","layer":2},{"info":"compute unary expreesion, input=1989, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↥(∂∃⊬7C5)=NaN","reverse_text":"NaN=↥(∂∃⊬7C5)","cot":[{"info":"∂∃⊬7C5=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
+{"id":818,"expression_no_base_symbol":"(⊙↵-$1147$)≋⫹","expression":"(⊙↵-∃⊬47B)≋⫹","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1196,"operation_count":2,"complexity_ratio":598.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1147,"base":16}}},"used_operators":["N41Kp7NANJ","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1147","layer":2},{"info":"compute unary expreesion, input=1147, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=2","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-∃⊬47B)≋⫹=∃⊬2","reverse_text":"∃⊬2=(⊙↵-∃⊬47B)≋⫹","cot":[{"info":"⊙↵-∃⊬47B=∃⊬-1","layer":1},{"info":"∃⊬-1≋⫹=∃⊬2","layer":0}]}
+{"id":819,"expression_no_base_symbol":"(↯⪼$4956$)↺(⪝⪂⫅$1407$)","expression":"(↯⪼∃⊬135C)↺(⪝⪂⫅∃⊬57F)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":183,"operation_count":3,"complexity_ratio":61.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4956,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1407,"base":16}}},"used_operators":["7j4O788W3g","8jW3W4yZS5","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp"],"result":"∃⊬-327ED","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4956","layer":2},{"info":"compute unary expreesion, input=4956, 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=1407","layer":2},{"info":"compute unary expreesion, input=1407, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-206829","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-206829, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-206829","layer":0}],"base":16,"result_base":16,"text":"(↯⪼∃⊬135C)↺(⪝⪂⫅∃⊬57F)=∃⊬-327ED","reverse_text":"∃⊬-327ED=(↯⪼∃⊬135C)↺(⪝⪂⫅∃⊬57F)","cot":[{"info":"↯⪼∃⊬135C=∃⊬-15","layer":1},{"info":"⪝⪂⫅∃⊬57F=∃⊬-327ED","layer":1},{"info":"∃⊬-15↺∃⊬-327ED=∃⊬-327ED","layer":0}]}
+{"id":820,"expression_no_base_symbol":"$3307$%$3018$⫡⨏(↔$3347$)","expression":"∃⊬CEB%∃⊬BCA⫡⨏(↔∃⊬D13)","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":3307,"base":16},"right_expr":{"type":"numeric_atoms","value":3018,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3347,"base":16}}},"used_operators":["QMFrweE19q","k8jYdgA6NY","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬-F50","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3307","layer":2},{"info":"number node, value=3018","layer":2},{"info":"compute binary expreesion, left_input=3307, right_input=3018, op_id = k8jYdgA6NY binary_op_definition= 'None', output=289","layer":1},{"info":"number node, value=3347","layer":2},{"info":"compute unary expreesion, input=3347, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3074","layer":1},{"info":"compute binary expreesion, left_input=289, right_input=-3074, 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=-3920","layer":0}],"base":16,"result_base":16,"text":"∃⊬CEB%∃⊬BCA⫡⨏(↔∃⊬D13)=∃���-F50","reverse_text":"∃⊬-F50=∃⊬CEB%∃⊬BCA⫡⨏(↔∃⊬D13)","cot":[{"info":"∃⊬CEB%∃⊬BCA=∃⊬121","layer":1},{"info":"↔∃⊬D13=∃⊬-C02","layer":1},{"info":"∃⊬121⫡⨏∃⊬-C02=∃⊬-F50","layer":0}]}
+{"id":821,"expression_no_base_symbol":"$2354$∼$2320$⫸⊐$1634$⪘⫢$2286$","expression":"∃⊬932∼∃⊬910⫸⊐∃⊬662⪘⫢∃⊬8EE","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2354,"base":16},"right_expr":{"type":"numeric_atoms","value":2320,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1634,"base":16},"right_expr":{"type":"numeric_atoms","value":2286,"base":16}}},"used_operators":["mqXw5SEYmG","DyGG3AbaNP","oacrs7FA3X"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2354","layer":2},{"info":"number node, value=2320","layer":2},{"info":"compute binary expreesion, left_input=2354, right_input=2320, 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=1634","layer":2},{"info":"number node, value=2286","layer":2},{"info":"compute binary expreesion, left_input=1634, right_input=2286, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3144","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3144, 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":16,"result_base":16,"text":"∃⊬932∼∃⊬910⫸⊐∃⊬662⪘⫢∃⊬8EE=NaN","reverse_text":"NaN=∃⊬932∼∃⊬910⫸⊐∃⊬662⪘⫢∃⊬8EE","cot":[{"info":"∃⊬932∼∃⊬910=NaN","layer":1},{"info":"∃⊬662⪘⫢∃⊬8EE=∃⊬C48","layer":1},{"info":"NaN⫸⊐∃⊬C48=NaN","layer":0}]}
+{"id":822,"expression_no_base_symbol":"(-$2367$)⫩⊇","expression":"(-∃⊬93F)⫩⊇","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":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2367,"base":16}}},"used_operators":["BjRHVeLaeN","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬969","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2367","layer":2},{"info":"compute unary expreesion, input=2367, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2367","layer":1},{"info":"compute unary expreesion, input=-2367, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2409","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬93F)⫩⊇=∃⊬969","reverse_text":"∃⊬969=(-∃⊬93F)⫩⊇","cot":[{"info":"-∃⊬93F=∃⊬-93F","layer":1},{"info":"∃⊬-93F⫩⊇=∃⊬969","layer":0}]}
+{"id":823,"expression_no_base_symbol":"⫛⫱⨽($3101$∑⇟⊟$7451$)","expression":"⫛⫱⨽(∃⊬C1D∑⇟⊟∃⊬1D1B)","highest_n_order":4,"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":3101,"base":16},"right_expr":{"type":"numeric_atoms","value":7451,"base":16}}},"used_operators":["DlLNRPXxWL","U7g4x0WXJJ"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3101","layer":2},{"info":"number node, value=7451","layer":2},{"info":"compute binary expreesion, left_input=3101, right_input=7451, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⫛⫱⨽(∃⊬C1D∑⇟⊟∃⊬1D1B)=NaN","reverse_text":"NaN=⫛⫱⨽(∃⊬C1D∑⇟⊟∃⊬1D1B)","cot":[{"info":"∃⊬C1D∑⇟⊟∃⊬1D1B=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
+{"id":824,"expression_no_base_symbol":"⨈⫕($3226$⪒$1047$)","expression":"⨈⫕(∃⊬C9A⪒∃⊬417)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3226,"base":16},"right_expr":{"type":"numeric_atoms","value":1047,"base":16}}},"used_operators":["megm06wKyl","f6k1SAg4EE"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3226","layer":2},{"info":"number node, value=1047","layer":2},{"info":"compute binary expreesion, left_input=3226, right_input=1047, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4273","layer":1},{"info":"compute unary expreesion, input=-4273, 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":16,"result_base":16,"text":"⨈⫕(∃⊬C9A⪒∃⊬417)=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕(∃⊬C9A⪒∃⊬417)","cot":[{"info":"∃⊬C9A⪒∃⊬417=∃⊬-10B1","layer":1},{"info":"⨈⫕∃⊬-10B1=∃⊬-15","layer":0}]}
+{"id":825,"expression_no_base_symbol":"$1010$≎⊠⪸$3323$⫌⩹⨱","expression":"∃⊬3F2≎⊠⪸∃⊬CFB⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":277,"operation_count":2,"complexity_ratio":138.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1010,"base":16},"right_expr":{"type":"numeric_atoms","value":3323,"base":16}}},"used_operators":["EBcxylXtPf","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬7FD73","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":2},{"info":"number node, value=3323","layer":2},{"info":"compute binary expreesion, left_input=1010, right_input=3323, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=261117","layer":1},{"info":"compute unary expreesion, input=261117, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=523635","layer":0}],"base":16,"result_base":16,"text":"∃⊬3F2≎⊠⪸∃⊬CFB⫌⩹⨱=∃⊬7FD73","reverse_text":"∃⊬7FD73=∃⊬3F2≎⊠⪸∃⊬CFB⫌⩹⨱","cot":[{"info":"∃⊬3F2≎⊠⪸∃⊬CFB=∃⊬3FBFD","layer":1},{"info":"∃⊬3FBFD⫌⩹⨱=∃⊬7FD73","layer":0}]}
+{"id":826,"expression_no_base_symbol":"($2439$⨳⩥⨓$1388$)⋫","expression":"(∃⊬987⨳⩥⨓∃⊬56C)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1054,"operation_count":2,"complexity_ratio":527.0,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2439,"base":16},"right_expr":{"type":"numeric_atoms","value":1388,"base":16}}},"used_operators":["JL8yIekQnl","nCS4ZIUYfx"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬41B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2439","layer":2},{"info":"number node, value=1388","layer":2},{"info":"compute binary expreesion, left_input=2439, right_input=1388, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1051","layer":1},{"info":"compute unary expreesion, input=-1051, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1051","layer":0}],"base":16,"result_base":16,"text":"(∃⊬987⨳⩥⨓∃⊬56C)⋫=∃⊬41B","reverse_text":"∃⊬41B=(∃⊬987⨳⩥⨓∃⊬56C)⋫","cot":[{"info":"∃⊬987⨳⩥⨓∃⊬56C=∃⊬-41B","layer":1},{"info":"∃⊬-41B⋫=∃⊬41B","layer":0}]}
+{"id":827,"expression_no_base_symbol":"(≦∁$3686$)⨓(≤/$2414$)","expression":"(≦∁∃⊬E66)⨓(≤/∃⊬96E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1938,"operation_count":3,"complexity_ratio":646.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3686,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2414,"base":16}}},"used_operators":["3ViojmjbAp","9ICcGScMcE","eLAdDNolq6"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"∃⊬787","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3686","layer":2},{"info":"compute unary expreesion, input=3686, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3686","layer":1},{"info":"number node, value=2414","layer":2},{"info":"compute unary expreesion, input=2414, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1930","layer":1},{"info":"compute binary expreesion, left_input=3686, right_input=-1930, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1927","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬E66)⨓(≤/∃⊬96E)=∃⊬787","reverse_text":"∃⊬787=(≦∁∃⊬E66)⨓(≤/∃⊬96E)","cot":[{"info":"≦∁∃⊬E66=∃⊬E66","layer":1},{"info":"≤/∃⊬96E=∃⊬-78A","layer":1},{"info":"∃⊬E66⨓∃⊬-78A=∃⊬787","layer":0}]}
+{"id":828,"expression_no_base_symbol":"($5271$⋫)⋓$1642$⨟⋌⩍$6500$","expression":"(∃⊬1497⋫)⋓∃⊬66A⨟⋌⩍∃⊬1964","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5285,"operation_count":3,"complexity_ratio":1761.6666666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5271,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1642,"base":16},"right_expr":{"type":"numeric_atoms","value":6500,"base":16}}},"used_operators":["T2fj7uvVaJ","JL8yIekQnl","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5271","layer":2},{"info":"compute unary expreesion, input=5271, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5271","layer":1},{"info":"number node, value=1642","layer":2},{"info":"number node, value=6500","layer":2},{"info":"compute binary expreesion, left_input=1642, right_input=6500, 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=5271, 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":16,"result_base":16,"text":"(∃⊬1497⋫)⋓∃⊬66A⨟⋌⩍∃⊬1964=NaN","reverse_text":"NaN=(∃⊬1497⋫)⋓∃⊬66A⨟⋌⩍∃⊬1964","cot":[{"info":"∃⊬1497⋫=∃⊬1497","layer":1},{"info":"∃⊬66A⨟⋌⩍∃⊬1964=NaN","layer":1},{"info":"∃⊬1497⋓NaN=NaN","layer":0}]}
+{"id":829,"expression_no_base_symbol":"$1232$≹⇙⪍$2549$∼($1951$⨓$1332$)","expression":"∃⊬4D0≹⇙⪍∃⊬9F5∼(∃⊬79F⨓∃⊬534)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1342,"operation_count":3,"complexity_ratio":447.3333333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1232,"base":16},"right_expr":{"type":"numeric_atoms","value":2549,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1951,"base":16},"right_expr":{"type":"numeric_atoms","value":1332,"base":16}}},"used_operators":["DyGG3AbaNP","AHs5Up7iyr","3ViojmjbAp"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":2},{"info":"number node, value=2549","layer":2},{"info":"compute binary expreesion, left_input=1232, right_input=2549, 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=1951","layer":2},{"info":"number node, value=1332","layer":2},{"info":"compute binary expreesion, left_input=1951, right_input=1332, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1335","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1335, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬4D0≹⇙⪍∃⊬9F5∼(∃⊬79F⨓∃⊬534)=NaN","reverse_text":"NaN=∃⊬4D0≹⇙⪍∃⊬9F5∼(∃⊬79F⨓∃⊬534)","cot":[{"info":"∃⊬4D0≹⇙⪍∃⊬9F5=NaN","layer":1},{"info":"∃⊬79F⨓∃⊬534=∃⊬-537","layer":1},{"info":"NaN∼∃⊬-537=NaN","layer":0}]}
+{"id":830,"expression_no_base_symbol":"(⨑⩽⪐$2651$)⫸⊐(↯⪼$1268$)","expression":"(⨑⩽⪐∃⊬A5B)⫸⊐(↯⪼∃⊬4F4)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2651,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1268,"base":16}}},"used_operators":["mqXw5SEYmG","AF7qkfDlqP","8jW3W4yZS5"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬3C8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2651","layer":2},{"info":"compute unary expreesion, input=2651, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2378","layer":1},{"info":"number node, value=1268","layer":2},{"info":"compute unary expreesion, input=1268, 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=-2378, right_input=-21, 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":16,"result_base":16,"text":"(⨑⩽⪐∃⊬A5B)⫸⊐(↯⪼∃⊬4F4)=∃⊬3C8","reverse_text":"∃⊬3C8=(⨑⩽⪐∃⊬A5B)⫸⊐(↯⪼∃⊬4F4)","cot":[{"info":"⨑⩽⪐∃⊬A5B=∃⊬-94A","layer":1},{"info":"↯⪼∃⊬4F4=∃⊬-15","layer":1},{"info":"∃⊬-94A⫸⊐∃⊬-15=∃⊬3C8","layer":0}]}
+{"id":831,"expression_no_base_symbol":"$1175$∑⇟⊟$3092$⨰($1260$⇼⇔∾$9494$)","expression":"∃⊬497∑⇟⊟∃⊬C14⨰(∃⊬4EC⇼⇔∾∃⊬2516)","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":1175,"base":16},"right_expr":{"type":"numeric_atoms","value":3092,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1260,"base":16},"right_expr":{"type":"numeric_atoms","value":9494,"base":16}}},"used_operators":["eewbuw0ToL","U7g4x0WXJJ","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1175","layer":2},{"info":"number node, value=3092","layer":2},{"info":"compute binary expreesion, left_input=1175, right_input=3092, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1260","layer":2},{"info":"number node, value=9494","layer":2},{"info":"compute binary expreesion, left_input=1260, right_input=9494, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=8234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8234, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬497∑⇟⊟∃⊬C14⨰(∃⊬4EC⇼⇔∾∃⊬2516)=NaN","reverse_text":"NaN=∃⊬497∑⇟⊟∃⊬C14⨰(∃⊬4EC⇼⇔∾∃⊬2516)","cot":[{"info":"∃⊬497∑⇟⊟∃⊬C14=NaN","layer":1},{"info":"∃⊬4EC⇼⇔∾∃⊬2516=∃⊬202A","layer":1},{"info":"NaN⨰∃⊬202A=NaN","layer":0}]}
+{"id":832,"expression_no_base_symbol":"$1308$⪢$1081$⨵⪆$3416$≎⊠⪸$3239$","expression":"∃⊬51C⪢∃⊬439⨵⪆∃⊬D58≎⊠⪸∃⊬CA7","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1710,"operation_count":3,"complexity_ratio":570.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1308,"base":16},"right_expr":{"type":"numeric_atoms","value":1081,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3416,"base":16},"right_expr":{"type":"numeric_atoms","value":3239,"base":16}}},"used_operators":["2DQ55sFlQl","dWAJyo7jo9","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1308","layer":2},{"info":"number node, value=1081","layer":2},{"info":"compute binary expreesion, left_input=1308, right_input=1081, 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=3416","layer":2},{"info":"number node, value=3239","layer":2},{"info":"compute binary expreesion, left_input=3416, right_input=3239, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=884271","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=884271, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬51C⪢∃⊬439⨵⪆∃⊬D58≎⊠⪸∃⊬CA7=∃⊬A0","reverse_text":"∃⊬A0=∃⊬51C⪢∃⊬439⨵⪆∃⊬D58≎⊠⪸∃⊬CA7","cot":[{"info":"∃⊬51C⪢∃⊬439=NaN","layer":1},{"info":"∃⊬D58≎⊠⪸∃⊬CA7=∃⊬D7E2F","layer":1},{"info":"NaN⨵⪆∃⊬D7E2F=∃⊬A0","layer":0}]}
+{"id":833,"expression_no_base_symbol":"$4696$⫡⨏$5324$+(≤/$1322$)","expression":"∃⊬1258⫡⨏∃⊬14CC+(≤/∃⊬52A)","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":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4696,"base":16},"right_expr":{"type":"numeric_atoms","value":5324,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1322,"base":16}}},"used_operators":["W4YGzv6Whe","QMFrweE19q","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬8519","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4696","layer":2},{"info":"number node, value=5324","layer":2},{"info":"compute binary expreesion, left_input=4696, right_input=5324, 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=34911","layer":1},{"info":"number node, value=1322","layer":2},{"info":"compute unary expreesion, input=1322, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-838","layer":1},{"info":"compute binary expreesion, left_input=34911, right_input=-838, op_id = W4YGzv6Whe binary_op_definition= 'None', output=34073","layer":0}],"base":16,"result_base":16,"text":"∃⊬1258⫡⨏∃⊬14CC+(≤/∃⊬52A)=∃⊬8519","reverse_text":"∃⊬8519=∃⊬1258⫡⨏∃⊬14CC+(≤/∃⊬52A)","cot":[{"info":"∃⊬1258⫡⨏∃⊬14CC=∃⊬885F","layer":1},{"info":"≤/∃⊬52A=∃⊬-346","layer":1},{"info":"∃⊬885F+∃⊬-346=∃⊬8519","layer":0}]}
+{"id":834,"expression_no_base_symbol":"⨵≀≌(↽≂$3968$)","expression":"⨵≀≌(↽≂∃⊬F80)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7944,"operation_count":2,"complexity_ratio":3972.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3968,"base":16}}},"used_operators":["srAu1WTS94","u6S6b8DprG"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬3C10000","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3968","layer":2},{"info":"compute unary expreesion, input=3968, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7936","layer":1},{"info":"compute unary expreesion, input=-7936, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=62980096","layer":0}],"base":16,"result_base":16,"text":"⨵≀≌(↽≂∃⊬F80)=∃⊬3C10000","reverse_text":"∃⊬3C10000=⨵≀≌(↽≂∃⊬F80)","cot":[{"info":"↽≂∃⊬F80=∃⊬-1F00","layer":1},{"info":"⨵≀≌∃⊬-1F00=∃⊬3C10000","layer":0}]}
+{"id":835,"expression_no_base_symbol":"($1279$%$5663$)⫸⊐$1463$+⇶⊼$1940$","expression":"(∃⊬4FF%∃⊬161F)⫸⊐∃⊬5B7+⇶⊼∃⊬794","highest_n_order":5,"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":1279,"base":16},"right_expr":{"type":"numeric_atoms","value":5663,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1463,"base":16},"right_expr":{"type":"numeric_atoms","value":1940,"base":16}}},"used_operators":["mqXw5SEYmG","k8jYdgA6NY","TpPTUOHfaN"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1279","layer":2},{"info":"number node, value=5663","layer":2},{"info":"compute binary expreesion, left_input=1279, right_input=5663, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1279","layer":1},{"info":"number node, value=1463","layer":2},{"info":"number node, value=1940","layer":2},{"info":"compute binary expreesion, left_input=1463, right_input=1940, 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=1279, 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":16,"result_base":16,"text":"(∃⊬4FF%∃⊬161F)⫸⊐∃⊬5B7+⇶⊼∃⊬794=NaN","reverse_text":"NaN=(∃⊬4FF%∃⊬161F)⫸⊐∃⊬5B7+⇶⊼∃⊬794","cot":[{"info":"∃⊬4FF%∃⊬161F=∃⊬4FF","layer":1},{"info":"∃⊬5B7+⇶⊼∃⊬794=NaN","layer":1},{"info":"∃⊬4FF⫸⊐NaN=NaN","layer":0}]}
+{"id":836,"expression_no_base_symbol":"$1195$⨳⩥⨓$1004$%$1021$*$1169$","expression":"∃⊬4AB⨳⩥⨓∃⊬3EC%∃⊬3FD*∃⊬491","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1025,"operation_count":3,"complexity_ratio":341.6666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1195,"base":16},"right_expr":{"type":"numeric_atoms","value":1004,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1021,"base":16},"right_expr":{"type":"numeric_atoms","value":1169,"base":16}}},"used_operators":["k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe"],"result":"∃⊬12358E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1195","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=1195, right_input=1004, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-191","layer":1},{"info":"number node, value=1021","layer":2},{"info":"number node, value=1169","layer":2},{"info":"compute binary expreesion, left_input=1021, right_input=1169, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1193549","layer":1},{"info":"compute binary expreesion, left_input=-191, right_input=1193549, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1193358","layer":0}],"base":16,"result_base":16,"text":"∃⊬4AB⨳⩥⨓∃⊬3EC%∃⊬3FD*∃⊬491=∃⊬12358E","reverse_text":"∃⊬12358E=∃⊬4AB⨳⩥⨓∃⊬3EC%∃⊬3FD*∃⊬491","cot":[{"info":"∃⊬4AB⨳⩥⨓∃⊬3EC=∃⊬-BF","layer":1},{"info":"∃⊬3FD*∃⊬491=∃⊬12364D","layer":1},{"info":"∃⊬-BF%∃⊬12364D=∃⊬12358E","layer":0}]}
+{"id":837,"expression_no_base_symbol":"(≉$1105$)⨰($2376$∲⫓$3225$)","expression":"(≉∃⊬451)⨰(∃⊬948∲⫓∃⊬C99)","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":1105,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2376,"base":16},"right_expr":{"type":"numeric_atoms","value":3225,"base":16}}},"used_operators":["eewbuw0ToL","e1ybzncUwg","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬66E","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1105","layer":2},{"info":"compute unary expreesion, input=1105, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1636","layer":1},{"info":"number node, value=2376","layer":2},{"info":"number node, value=3225","layer":2},{"info":"compute binary expreesion, left_input=2376, right_input=3225, 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=1636, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1646","layer":0}],"base":16,"result_base":16,"text":"(≉∃⊬451)⨰(∃⊬948∲⫓∃⊬C99)=∃⊬66E","reverse_text":"∃⊬66E=(≉∃⊬451)⨰(∃⊬948∲⫓∃⊬C99)","cot":[{"info":"≉∃⊬451=∃⊬664","layer":1},{"info":"∃⊬948∲⫓∃⊬C99=∃��0","layer":1},{"info":"∃⊬664⨰∃⊬0=∃⊬66E","layer":0}]}
+{"id":838,"expression_no_base_symbol":"$3208$⋥≓≎$1710$⇼⇔∾$1666$≹⇙⪍$2824$","expression":"∃⊬C88⋥≓≎∃⊬6AE⇼⇔∾∃⊬682≹⇙⪍∃⊬B08","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":3208,"base":16},"right_expr":{"type":"numeric_atoms","value":1710,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1666,"base":16},"right_expr":{"type":"numeric_atoms","value":2824,"base":16}}},"used_operators":["tifHPKVTfV","Qy55tPpLXF","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3208","layer":2},{"info":"number node, value=1710","layer":2},{"info":"compute binary expreesion, left_input=3208, right_input=1710, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=245","layer":1},{"info":"number node, value=1666","layer":2},{"info":"number node, value=2824","layer":2},{"info":"compute binary expreesion, left_input=1666, right_input=2824, 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=245, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬C88⋥≓≎∃⊬6AE⇼⇔∾∃⊬682≹⇙⪍∃⊬B08=NaN","reverse_text":"NaN=∃⊬C88⋥≓≎∃⊬6AE⇼⇔∾∃⊬682≹⇙⪍∃⊬B08","cot":[{"info":"∃⊬C88⋥≓≎∃⊬6AE=∃⊬F5","layer":1},{"info":"∃⊬682≹⇙⪍∃⊬B08=NaN","layer":1},{"info":"∃⊬F5⇼⇔∾NaN=NaN","layer":0}]}
+{"id":839,"expression_no_base_symbol":"⫓⪴($1616$⊭∹↮)","expression":"⫓⪴(∃⊬650⊭∹↮)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3238,"operation_count":2,"complexity_ratio":1619.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1616,"base":16}}},"used_operators":["eLxqMNBOBk","xNBdhnnwKq"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬9F6400","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1616","layer":2},{"info":"compute unary expreesion, input=1616, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3232","layer":1},{"info":"compute unary expreesion, input=3232, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10445824","layer":0}],"base":16,"result_base":16,"text":"⫓⪴(∃⊬650⊭∹↮)=∃⊬9F6400","reverse_text":"∃⊬9F6400=⫓⪴(∃⊬650⊭∹↮)","cot":[{"info":"∃⊬650⊭∹↮=∃⊬CA0","layer":1},{"info":"⫓⪴∃⊬CA0=∃⊬9F6400","layer":0}]}
+{"id":840,"expression_no_base_symbol":"$2000$⨐⩸⫘$8509$↺($3947$⪄$1736$)","expression":"∃⊬7D0⨐⩸⫘∃⊬213D↺(∃⊬F6B⪄∃⊬6C8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2000,"base":16},"right_expr":{"type":"numeric_atoms","value":8509,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3947,"base":16},"right_expr":{"type":"numeric_atoms","value":1736,"base":16}}},"used_operators":["7j4O788W3g","fu6greOZ01","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬-8F5B5","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2000","layer":2},{"info":"number node, value=8509","layer":2},{"info":"compute binary expreesion, left_input=2000, right_input=8509, 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=3947","layer":2},{"info":"number node, value=1736","layer":2},{"info":"compute binary expreesion, left_input=3947, right_input=1736, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-587189","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-587189, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-587189","layer":0}],"base":16,"result_base":16,"text":"∃⊬7D0⨐⩸⫘∃⊬213D↺(∃⊬F6B⪄∃⊬6C8)=∃⊬-8F5B5","reverse_text":"∃⊬-8F5B5=∃⊬7D0⨐⩸⫘∃⊬213D↺(∃⊬F6B⪄∃⊬6C8)","cot":[{"info":"∃⊬7D0⨐⩸⫘∃⊬213D=NaN","layer":1},{"info":"∃⊬F6B⪄∃⊬6C8=∃⊬-8F5B5","layer":1},{"info":"NaN↺∃⊬-8F5B5=∃⊬-8F5B5","layer":0}]}
+{"id":841,"expression_no_base_symbol":"$1601$⨐⩸⫘$3134$↺(⫓⪴$5522$)","expression":"∃⊬641⨐⩸⫘∃⊬C3E↺(⫓⪴∃⊬1592)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5525,"operation_count":3,"complexity_ratio":1841.6666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1601,"base":16},"right_expr":{"type":"numeric_atoms","value":3134,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5522,"base":16}}},"used_operators":["7j4O788W3g","fu6greOZ01","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","9HNa5Wba9A"],"result":"∃⊬1D14744","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1601","layer":2},{"info":"number node, value=3134","layer":2},{"info":"compute binary expreesion, left_input=1601, right_input=3134, 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=5522","layer":2},{"info":"compute unary expreesion, input=5522, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=30492484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=30492484, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=30492484","layer":0}],"base":16,"result_base":16,"text":"∃⊬641⨐⩸⫘∃⊬C3E↺(⫓⪴∃⊬1592)=∃⊬1D14744","reverse_text":"∃⊬1D14744=∃⊬641⨐⩸⫘∃⊬C3E↺(⫓⪴∃⊬1592)","cot":[{"info":"∃⊬641⨐⩸⫘∃⊬C3E=NaN","layer":1},{"info":"⫓⪴∃⊬1592=∃⊬1D14744","layer":1},{"info":"NaN↺∃⊬1D14744=∃⊬1D14744","layer":0}]}
+{"id":842,"expression_no_base_symbol":"($4875$⫡⨏$2081$)⋳⪒(↯⪼$3848$)","expression":"(∃⊬130B⫡⨏∃⊬821)⋳⪒(↯⪼∃⊬F08)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4875,"base":16},"right_expr":{"type":"numeric_atoms","value":2081,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3848,"base":16}}},"used_operators":["12rbrZMWeM","QMFrweE19q","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬E406","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4875","layer":2},{"info":"number node, value=2081","layer":2},{"info":"compute binary expreesion, left_input=4875, right_input=2081, 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=29320","layer":1},{"info":"number node, value=3848","layer":2},{"info":"compute unary expreesion, input=3848, 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=29320, right_input=-21, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=58374","layer":0}],"base":16,"result_base":16,"text":"(∃⊬130B⫡⨏∃⊬821)⋳⪒(↯⪼∃⊬F08)=∃⊬E406","reverse_text":"∃⊬E406=(∃⊬130B⫡⨏∃⊬821)⋳⪒(↯⪼∃⊬F08)","cot":[{"info":"∃⊬130B⫡⨏∃⊬821=∃⊬7288","layer":1},{"info":"↯⪼∃⊬F08=∃⊬-15","layer":1},{"info":"∃⊬7288⋳⪒∃⊬-15=∃⊬E406","layer":0}]}
+{"id":843,"expression_no_base_symbol":"$4183$↬$8380$⊉≛↸(↔$2654$)","expression":"∃⊬1057↬∃⊬20BC⊉≛↸(↔∃⊬A5E)","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":4183,"base":16},"right_expr":{"type":"numeric_atoms","value":8380,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2654,"base":16}}},"used_operators":["DZ8iAZOCBD","B5M0gjZbta","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4183","layer":2},{"info":"number node, value=8380","layer":2},{"info":"compute binary expreesion, left_input=4183, right_input=8380, 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=2654","layer":2},{"info":"compute unary expreesion, input=2654, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2381","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2381, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1057↬∃⊬20BC⊉≛↸(↔∃⊬A5E)=NaN","reverse_text":"NaN=∃⊬1057↬∃⊬20BC⊉≛↸(↔∃⊬A5E)","cot":[{"info":"∃⊬1057↬∃⊬20BC=NaN","layer":1},{"info":"↔∃⊬A5E=∃⊬-94D","layer":1},{"info":"NaN⊉≛↸∃⊬-94D=NaN","layer":0}]}
+{"id":844,"expression_no_base_symbol":"($1977$⨸⪁$3682$)⊴(-$6926$)","expression":"(∃⊬7B9⨸⪁∃⊬E62)⊴(-∃⊬1B0E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14470,"operation_count":3,"complexity_ratio":4823.333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1977,"base":16},"right_expr":{"type":"numeric_atoms","value":3682,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6926,"base":16}}},"used_operators":["Nsiff2A1zJ","g55IO6H4Gj","t8gj7n24qd"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1977","layer":2},{"info":"number node, value=3682","layer":2},{"info":"compute binary expreesion, left_input=1977, right_input=3682, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11318","layer":1},{"info":"number node, value=6926","layer":2},{"info":"compute unary expreesion, input=6926, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6926","layer":1},{"info":"compute binary expreesion, left_input=11318, right_input=-6926, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬7B9⨸⪁∃⊬E62)⊴(-∃⊬1B0E)=NaN","reverse_text":"NaN=(∃⊬7B9⨸⪁∃⊬E62)⊴(-∃⊬1B0E)","cot":[{"info":"∃⊬7B9⨸⪁∃⊬E62=∃⊬2C36","layer":1},{"info":"-∃⊬1B0E=∃⊬-1B0E","layer":1},{"info":"∃⊬2C36⊴∃⊬-1B0E=NaN","layer":0}]}
+{"id":845,"expression_no_base_symbol":"$2608$⨰$5830$⫥∨⫟(↩$1143$)","expression":"∃⊬A30⨰∃⊬16C6⫥∨⫟(↩∃⊬477)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":176,"operation_count":3,"complexity_ratio":58.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2608,"base":16},"right_expr":{"type":"numeric_atoms","value":5830,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1143,"base":16}}},"used_operators":["KYD54nUTWz","eewbuw0ToL","jLgFTUHLKL"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2608","layer":2},{"info":"number node, value=5830","layer":2},{"info":"compute binary expreesion, left_input=2608, right_input=5830, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3212","layer":1},{"info":"number node, value=1143","layer":2},{"info":"compute unary expreesion, input=1143, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6364","layer":1},{"info":"compute binary expreesion, left_input=-3212, right_input=-6364, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬A30⨰∃⊬16C6⫥∨⫟(↩∃⊬477)=NaN","reverse_text":"NaN=��⊬A30⨰∃⊬16C6⫥∨⫟(↩∃⊬477)","cot":[{"info":"∃⊬A30⨰∃⊬16C6=∃⊬-C8C","layer":1},{"info":"↩∃⊬477=∃⊬-18DC","layer":1},{"info":"∃⊬-C8C⫥∨⫟∃⊬-18DC=NaN","layer":0}]}
+{"id":846,"expression_no_base_symbol":"($2721$⪒$3477$)⫥∨⫟(∥⊫$1266$)","expression":"(∃⊬AA1⪒∃⊬D95)⫥∨⫟(∥⊫∃⊬4F2)","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":2721,"base":16},"right_expr":{"type":"numeric_atoms","value":3477,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1266,"base":16}}},"used_operators":["KYD54nUTWz","f6k1SAg4EE","P8v4zCKN1o"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2721","layer":2},{"info":"number node, value=3477","layer":2},{"info":"compute binary expreesion, left_input=2721, right_input=3477, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6198","layer":1},{"info":"number node, value=1266","layer":2},{"info":"compute unary expreesion, input=1266, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2134","layer":1},{"info":"compute binary expreesion, left_input=-6198, right_input=2134, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬AA1⪒∃⊬D95)⫥∨⫟(∥⊫∃⊬4F2)=NaN","reverse_text":"NaN=(∃⊬AA1⪒∃⊬D95)⫥∨⫟(∥⊫∃⊬4F2)","cot":[{"info":"∃⊬AA1⪒∃⊬D95=∃⊬-1836","layer":1},{"info":"∥⊫∃⊬4F2=∃⊬856","layer":1},{"info":"∃⊬-1836⫥∨⫟∃⊬856=NaN","layer":0}]}
+{"id":847,"expression_no_base_symbol":"($2082$⋷$5342$)%$4566$⨐⩸⫘$7530$","expression":"(∃⊬822⋷∃⊬14DE)%∃⊬11D6⨐⩸⫘∃⊬1D6A","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":2082,"base":16},"right_expr":{"type":"numeric_atoms","value":5342,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4566,"base":16},"right_expr":{"type":"numeric_atoms","value":7530,"base":16}}},"used_operators":["k8jYdgA6NY","23Mk6UjR3U","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2082","layer":2},{"info":"number node, value=5342","layer":2},{"info":"compute binary expreesion, left_input=2082, right_input=5342, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8602","layer":1},{"info":"number node, value=4566","layer":2},{"info":"number node, value=7530","layer":2},{"info":"compute binary expreesion, left_input=4566, right_input=7530, 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=8602, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬822⋷∃⊬14DE)%∃⊬11D6⨐⩸⫘∃⊬1D6A=NaN","reverse_text":"NaN=(∃⊬822⋷∃⊬14DE)%∃⊬11D6⨐⩸⫘∃⊬1D6A","cot":[{"info":"∃⊬822⋷∃⊬14DE=∃⊬219A","layer":1},{"info":"∃⊬11D6⨐⩸⫘∃⊬1D6A=NaN","layer":1},{"info":"∃⊬219A%NaN=NaN","layer":0}]}
+{"id":848,"expression_no_base_symbol":"($4367$/$2958$)⨽($3463$⪄$2074$)","expression":"(∃⊬110F/∃⊬B8E)⨽(∃⊬D87⪄∃⊬81A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":106,"operation_count":3,"complexity_ratio":35.333333333333336,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4367,"base":16},"right_expr":{"type":"numeric_atoms","value":2958,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3463,"base":16},"right_expr":{"type":"numeric_atoms","value":2074,"base":16}}},"used_operators":["8HhzD0ZcuI","XhwjNDsVaA","SUmda5xLS4"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬17AEA6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4367","layer":2},{"info":"number node, value=2958","layer":2},{"info":"compute binary expreesion, left_input=4367, right_input=2958, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=3463","layer":2},{"info":"number node, value=2074","layer":2},{"info":"compute binary expreesion, left_input=3463, right_input=2074, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-516909","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=-516909, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1552038","layer":0}],"base":16,"result_base":16,"text":"(∃⊬110F/∃⊬B8E)⨽(∃⊬D87⪄∃⊬81A)=∃⊬17AEA6","reverse_text":"∃⊬17AEA6=(∃⊬110F/∃⊬B8E)⨽(∃⊬D87⪄∃⊬81A)","cot":[{"info":"∃⊬110F/∃⊬B8E=∃⊬1","layer":1},{"info":"∃⊬D87⪄∃⊬81A=∃⊬-7E32D","layer":1},{"info":"∃⊬1⨽∃⊬-7E32D=∃⊬17AEA6","layer":0}]}
+{"id":849,"expression_no_base_symbol":"($2390$⫡⨏$1426$)⩚⊴⇥($2171$⩨$1081$)","expression":"(∃⊬956⫡⨏∃⊬592)⩚⊴⇥(∃⊬87B⩨∃⊬439)","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":2390,"base":16},"right_expr":{"type":"numeric_atoms","value":1426,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2171,"base":16},"right_expr":{"type":"numeric_atoms","value":1081,"base":16}}},"used_operators":["NTOWxs364D","QMFrweE19q","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬-3D5A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2390","layer":2},{"info":"number node, value=1426","layer":2},{"info":"compute binary expreesion, left_input=2390, right_input=1426, 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=15585","layer":1},{"info":"number node, value=2171","layer":2},{"info":"number node, value=1081","layer":2},{"info":"compute binary expreesion, left_input=2171, right_input=1081, 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=15585, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-15706","layer":0}],"base":16,"result_base":16,"text":"(∃⊬956⫡⨏∃⊬592)⩚⊴⇥(∃⊬87B⩨∃⊬439)=∃⊬-3D5A","reverse_text":"∃⊬-3D5A=(∃⊬956⫡⨏∃⊬592)⩚⊴⇥(∃⊬87B⩨∃⊬439)","cot":[{"info":"∃⊬956⫡⨏∃⊬592=∃⊬3CE1","layer":1},{"info":"∃⊬87B⩨∃⊬439=∃⊬0","layer":1},{"info":"∃⊬3CE1⩚⊴⇥∃⊬0=∃⊬-3D5A","layer":0}]}
+{"id":850,"expression_no_base_symbol":"(≦∁$2890$)⊴($2290$⫩⊇)","expression":"(≦∁∃⊬B4A)⊴(∃⊬8F2⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4425,"operation_count":3,"complexity_ratio":1475.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2890,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2290,"base":16}}},"used_operators":["Nsiff2A1zJ","9ICcGScMcE","BjRHVeLaeN"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2890","layer":2},{"info":"compute unary expreesion, input=2890, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2890","layer":1},{"info":"number node, value=2290","layer":2},{"info":"compute unary expreesion, input=2290, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2248","layer":1},{"info":"compute binary expreesion, left_input=2890, right_input=-2248, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬B4A)⊴(∃⊬8F2⫩⊇)=NaN","reverse_text":"NaN=(≦∁∃⊬B4A)⊴(∃⊬8F2⫩⊇)","cot":[{"info":"≦∁∃⊬B4A=∃⊬B4A","layer":1},{"info":"∃⊬8F2⫩⊇=∃⊬-8C8","layer":1},{"info":"∃⊬B4A⊴∃⊬-8C8=NaN","layer":0}]}
+{"id":851,"expression_no_base_symbol":"(↩$1782$)≹⇙⪍($1002$⊴$1524$)","expression":"(↩∃⊬6F6)≹⇙⪍(∃⊬3EA⊴∃⊬5F4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1547,"operation_count":3,"complexity_ratio":515.6666666666666,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1782,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1002,"base":16},"right_expr":{"type":"numeric_atoms","value":1524,"base":16}}},"used_operators":["AHs5Up7iyr","jLgFTUHLKL","Nsiff2A1zJ"],"dependent_operators":["dWAJyo7jo9","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1782","layer":2},{"info":"compute unary expreesion, input=1782, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11476","layer":1},{"info":"number node, value=1002","layer":2},{"info":"number node, value=1524","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=1524, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-11476, 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":16,"result_base":16,"text":"(↩∃⊬6F6)≹⇙⪍(∃⊬3EA⊴∃⊬5F4)=NaN","reverse_text":"NaN=(↩∃⊬6F6)≹⇙⪍(∃⊬3EA⊴∃⊬5F4)","cot":[{"info":"↩∃⊬6F6=∃⊬-2CD4","layer":1},{"info":"∃⊬3EA⊴∃⊬5F4=NaN","layer":1},{"info":"∃⊬-2CD4≹⇙⪍NaN=NaN","layer":0}]}
+{"id":852,"expression_no_base_symbol":"$1830$⪒$2124$+$4099$⪛$8489$","expression":"∃⊬726⪒∃⊬84C+∃⊬1003⪛∃⊬2129","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":1830,"base":16},"right_expr":{"type":"numeric_atoms","value":2124,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4099,"base":16},"right_expr":{"type":"numeric_atoms","value":8489,"base":16}}},"used_operators":["W4YGzv6Whe","f6k1SAg4EE","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬91","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":2},{"info":"number node, value=2124","layer":2},{"info":"compute binary expreesion, left_input=1830, right_input=2124, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3954","layer":1},{"info":"number node, value=4099","layer":2},{"info":"number node, value=8489","layer":2},{"info":"compute binary expreesion, left_input=4099, right_input=8489, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4099","layer":1},{"info":"compute binary expreesion, left_input=-3954, right_input=4099, op_id = W4YGzv6Whe binary_op_definition= 'None', output=145","layer":0}],"base":16,"result_base":16,"text":"∃⊬726⪒∃⊬84C+∃⊬1003⪛∃⊬2129=∃⊬91","reverse_text":"∃⊬91=∃⊬726⪒∃⊬84C+∃⊬1003⪛∃⊬2129","cot":[{"info":"∃⊬726⪒∃⊬84C=∃⊬-F72","layer":1},{"info":"∃⊬1003⪛∃⊬2129=∃⊬1003","layer":1},{"info":"∃⊬-F72+∃⊬1003=∃⊬91","layer":0}]}
+{"id":853,"expression_no_base_symbol":"⨑⩽⪐$1472$∀⇚≩$5740$","expression":"⨑⩽⪐∃⊬5C0∀⇚≩∃⊬166C","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10311,"operation_count":2,"complexity_ratio":5155.5,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1472,"base":16},"right_expr":{"type":"numeric_atoms","value":5740,"base":16}}},"used_operators":["AF7qkfDlqP","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1472","layer":2},{"info":"number node, value=5740","layer":2},{"info":"compute binary expreesion, left_input=1472, right_input=5740, 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 = 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":16,"result_base":16,"text":"⨑⩽⪐∃⊬5C0∀⇚≩∃⊬166C=NaN","reverse_text":"NaN=⨑⩽⪐∃⊬5C0∀⇚≩∃⊬166C","cot":[{"info":"∃⊬5C0∀⇚≩∃⊬166C=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
+{"id":854,"expression_no_base_symbol":"⇁⨣⪵($2226$⊠≄⫣)","expression":"⇁⨣⪵(∃⊬8B2⊠≄⫣)","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":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2226,"base":16}}},"used_operators":["inkyxCbjAn","DIvbN7qnHd"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2226","layer":2},{"info":"compute unary expreesion, input=2226, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵(∃⊬8B2⊠≄⫣)=∃⊬0","reverse_text":"∃⊬0=⇁⨣⪵(∃⊬8B2⊠≄⫣)","cot":[{"info":"∃⊬8B2⊠≄⫣=∃⊬0","layer":1},{"info":"⇁⨣⪵∃⊬0=∃⊬0","layer":0}]}
+{"id":855,"expression_no_base_symbol":"$2660$⨪↰⇹$3409$≭($5265$⨽$1204$)","expression":"∃⊬A64⨪↰⇹∃⊬D51≭(∃⊬1491⨽∃⊬4B4)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7935,"operation_count":3,"complexity_ratio":2645.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2660,"base":16},"right_expr":{"type":"numeric_atoms","value":3409,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5265,"base":16},"right_expr":{"type":"numeric_atoms","value":1204,"base":16}}},"used_operators":["rxpJgHHUmx","tmPS8pqC7x","8HhzD0ZcuI"],"dependent_operators":["AHs5Up7iyr","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2660","layer":2},{"info":"number node, value=3409","layer":2},{"info":"compute binary expreesion, left_input=2660, right_input=3409, 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=2660","layer":1},{"info":"number node, value=5265","layer":2},{"info":"number node, value=1204","layer":2},{"info":"compute binary expreesion, left_input=5265, right_input=1204, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-83162973","layer":1},{"info":"compute binary expreesion, left_input=2660, right_input=-83162973, 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":16,"result_base":16,"text":"∃⊬A64⨪↰⇹∃⊬D51≭(∃⊬1491⨽∃⊬4B4)=NaN","reverse_text":"NaN=∃⊬A64⨪↰⇹∃⊬D51≭(∃⊬1491⨽∃⊬4B4)","cot":[{"info":"∃⊬A64⨪↰⇹∃⊬D51=∃⊬A64","layer":1},{"info":"∃⊬1491⨽∃⊬4B4=∃⊬-4F4F75D","layer":1},{"info":"∃⊬A64≭∃⊬-4F4F75D=NaN","layer":0}]}
+{"id":856,"expression_no_base_symbol":"(⨑⩽⪐$1111$)⨟⋌⩍($3112$⫡⨏$1111$)","expression":"(⨑⩽⪐∃⊬457)⨟⋌⩍(∃⊬C28⫡⨏∃⊬457)","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":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1111,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3112,"base":16},"right_expr":{"type":"numeric_atoms","value":1111,"base":16}}},"used_operators":["rGHVDoGpnC","AF7qkfDlqP","QMFrweE19q"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":2},{"info":"compute unary expreesion, input=1111, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-838","layer":1},{"info":"number node, value=3112","layer":2},{"info":"number node, value=1111","layer":2},{"info":"compute binary expreesion, left_input=3112, right_input=1111, 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=18565","layer":1},{"info":"compute binary expreesion, left_input=-838, right_input=18565, 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":16,"result_base":16,"text":"(⨑⩽⪐∃⊬457)⨟⋌⩍(∃⊬C28⫡⨏∃⊬457)=NaN","reverse_text":"NaN=(⨑⩽⪐∃⊬457)⨟⋌⩍(∃⊬C28⫡⨏∃⊬457)","cot":[{"info":"⨑⩽⪐∃⊬457=∃⊬-346","layer":1},{"info":"∃⊬C28⫡⨏∃⊬457=∃⊬4885","layer":1},{"info":"∃⊬-346⨟⋌⩍∃⊬4885=NaN","layer":0}]}
+{"id":857,"expression_no_base_symbol":"($3657$⪠⩆⊳)⊭↱($2969$⪠⩆⊳)","expression":"(∃⊬E49⪠⩆⊳)⊭↱(∃⊬B99⪠⩆⊳)","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":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3657,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2969,"base":16}}},"used_operators":["COABgblf1C","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬5","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3657","layer":2},{"info":"compute unary expreesion, input=3657, 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=2969","layer":2},{"info":"compute unary expreesion, input=2969, 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=0, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E49⪠⩆⊳)⊭↱(∃⊬B99⪠⩆⊳)=∃⊬5","reverse_text":"∃⊬5=(∃⊬E49⪠⩆⊳)⊭↱(∃⊬B99⪠⩆⊳)","cot":[{"info":"∃⊬E49⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬B99⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬0⊭↱∃⊬0=∃⊬5","layer":0}]}
+{"id":858,"expression_no_base_symbol":"($7644$⩚⊴⇥$1347$)⨰($3825$⪨≂$2995$)","expression":"(∃⊬1DDC⩚⊴⇥∃⊬543)⨰(∃⊬EF1⪨≂∃⊬BB3)","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":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7644,"base":16},"right_expr":{"type":"numeric_atoms","value":1347,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3825,"base":16},"right_expr":{"type":"numeric_atoms","value":2995,"base":16}}},"used_operators":["eewbuw0ToL","NTOWxs364D","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-2A70","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7644","layer":2},{"info":"number node, value=1347","layer":2},{"info":"compute binary expreesion, left_input=7644, right_input=1347, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9112","layer":1},{"info":"number node, value=3825","layer":2},{"info":"number node, value=2995","layer":2},{"info":"compute binary expreesion, left_input=3825, right_input=2995, 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=1762","layer":1},{"info":"compute binary expreesion, left_input=-9112, right_input=1762, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-10864","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1DDC⩚⊴⇥∃⊬543)⨰(∃⊬EF1⪨≂∃⊬BB3)=∃⊬-2A70","reverse_text":"∃⊬-2A70=(∃⊬1DDC⩚⊴⇥∃⊬543)⨰(∃⊬EF1⪨≂∃⊬BB3)","cot":[{"info":"∃⊬1DDC⩚⊴⇥∃⊬543=∃⊬-2398","layer":1},{"info":"∃⊬EF1⪨≂∃⊬BB3=∃⊬6E2","layer":1},{"info":"∃⊬-2398⨰∃⊬6E2=∃⊬-2A70","layer":0}]}
+{"id":859,"expression_no_base_symbol":"$6044$⨟⋌⩍$4529$*$3453$⋳⪒$1095$","expression":"∃⊬179C⨟⋌⩍∃⊬11B1*∃⊬D7D⋳⪒∃⊬447","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":6044,"base":16},"right_expr":{"type":"numeric_atoms","value":4529,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3453,"base":16},"right_expr":{"type":"numeric_atoms","value":1095,"base":16}}},"used_operators":["9HNa5Wba9A","rGHVDoGpnC","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6044","layer":2},{"info":"number node, value=4529","layer":2},{"info":"compute binary expreesion, left_input=6044, right_input=4529, 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=3453","layer":2},{"info":"number node, value=1095","layer":2},{"info":"compute binary expreesion, left_input=3453, right_input=1095, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5524","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5524, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬179C⨟⋌⩍∃⊬11B1*∃⊬D7D⋳⪒∃⊬447=NaN","reverse_text":"NaN=∃⊬179C⨟⋌⩍∃⊬11B1*∃⊬D7D⋳⪒∃⊬447","cot":[{"info":"∃⊬179C⨟⋌⩍∃⊬11B1=NaN","layer":1},{"info":"∃⊬D7D⋳⪒∃⊬447=∃⊬1594","layer":1},{"info":"NaN*∃⊬1594=NaN","layer":0}]}
+{"id":860,"expression_no_base_symbol":"(⨵≀≌$1656$)↺($2457$⪄$1430$)","expression":"(⨵≀≌∃⊬678)↺(∃⊬999⪄∃⊬596)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":100,"operation_count":3,"complexity_ratio":33.333333333333336,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1656,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2457,"base":16},"right_expr":{"type":"numeric_atoms","value":1430,"base":16}}},"used_operators":["7j4O788W3g","srAu1WTS94","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬-59385","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1656","layer":2},{"info":"compute unary expreesion, input=1656, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4968","layer":1},{"info":"number node, value=2457","layer":2},{"info":"number node, value=1430","layer":2},{"info":"compute binary expreesion, left_input=2457, right_input=1430, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-365445","layer":1},{"info":"compute binary expreesion, left_input=-4968, right_input=-365445, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-365445","layer":0}],"base":16,"result_base":16,"text":"(⨵≀≌∃⊬678)↺(∃⊬999⪄∃⊬596)=∃⊬-59385","reverse_text":"∃⊬-59385=(⨵≀≌∃⊬678)↺(∃⊬999⪄∃⊬596)","cot":[{"info":"⨵≀≌∃⊬678=∃⊬-1368","layer":1},{"info":"∃⊬999⪄∃⊬596=∃⊬-59385","layer":1},{"info":"∃⊬-1368↺∃⊬-59385=∃⊬-59385","layer":0}]}
+{"id":861,"expression_no_base_symbol":"$7078$⨸⪁$1775$⪨≂$9590$⩷∴$1909$","expression":"∃⊬1BA6⨸⪁∃⊬6EF⪨≂∃⊬2576⩷∴∃⊬775","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":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7078,"base":16},"right_expr":{"type":"numeric_atoms","value":1775,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":9590,"base":16},"right_expr":{"type":"numeric_atoms","value":1909,"base":16}}},"used_operators":["sdazOOVcIp","g55IO6H4Gj","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬12F6","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7078","layer":2},{"info":"number node, value=1775","layer":2},{"info":"compute binary expreesion, left_input=7078, right_input=1775, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17706","layer":1},{"info":"number node, value=9590","layer":2},{"info":"number node, value=1909","layer":2},{"info":"compute binary expreesion, left_input=9590, right_input=1909, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=15330","layer":1},{"info":"compute binary expreesion, left_input=17706, right_input=15330, 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=4854","layer":0}],"base":16,"result_base":16,"text":"∃⊬1BA6⨸⪁∃⊬6EF⪨≂∃���2576⩷∴∃⊬775=∃⊬12F6","reverse_text":"∃⊬12F6=∃⊬1BA6⨸⪁∃⊬6EF⪨≂∃⊬2576⩷∴∃⊬775","cot":[{"info":"∃⊬1BA6⨸⪁∃⊬6EF=∃⊬452A","layer":1},{"info":"∃⊬2576⩷∴∃⊬775=∃⊬3BE2","layer":1},{"info":"∃⊬452A⪨≂∃⊬3BE2=∃⊬12F6","layer":0}]}
+{"id":862,"expression_no_base_symbol":"⊄⩳↩($2073$≭$2428$)","expression":"⊄⩳↩(∃⊬819≭∃⊬97C)","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":2073,"base":16},"right_expr":{"type":"numeric_atoms","value":2428,"base":16}}},"used_operators":["8w2t5hMYqp","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2073","layer":2},{"info":"number node, value=2428","layer":2},{"info":"compute binary expreesion, left_input=2073, right_input=2428, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(∃⊬819≭∃⊬97C)=NaN","reverse_text":"NaN=⊄⩳↩(∃⊬819≭∃⊬97C)","cot":[{"info":"∃⊬819≭∃⊬97C=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
+{"id":863,"expression_no_base_symbol":"⊙↵-($3142$⪘⫢$1024$)","expression":"⊙↵-(∃⊬C46⪘⫢∃⊬400)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6221,"operation_count":2,"complexity_ratio":3110.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3142,"base":16},"right_expr":{"type":"numeric_atoms","value":1024,"base":16}}},"used_operators":["oWn0xqSxBt","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3142","layer":2},{"info":"number node, value=1024","layer":2},{"info":"compute binary expreesion, left_input=3142, right_input=1024, 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 unary expreesion, input=6160, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(∃⊬C46⪘⫢∃⊬400)=∃⊬-1","reverse_text":"∃⊬-1=⊙↵-(∃⊬C46⪘⫢∃⊬400)","cot":[{"info":"∃⊬C46⪘⫢∃⊬400=∃⊬1810","layer":1},{"info":"⊙↵-∃⊬1810=∃⊬-1","layer":0}]}
+{"id":864,"expression_no_base_symbol":"(+⊝⨔$3246$)∀⇚≩($8169$⨸⪁$6141$)","expression":"(+⊝⨔∃⊬CAE)∀⇚≩(∃⊬1FE9⨸⪁∃⊬17FD)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10697,"operation_count":3,"complexity_ratio":3565.6666666666665,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3246,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8169,"base":16},"right_expr":{"type":"numeric_atoms","value":6141,"base":16}}},"used_operators":["LRNGc0VcxI","DhbWaqg5eL","g55IO6H4Gj"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3246","layer":2},{"info":"compute unary expreesion, input=3246, 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=8169","layer":2},{"info":"number node, value=6141","layer":2},{"info":"compute binary expreesion, left_input=8169, right_input=6141, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=28620","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=28620, 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":16,"result_base":16,"text":"(+⊝⨔∃⊬CAE)∀⇚≩(∃⊬1FE9⨸⪁∃⊬17FD)=NaN","reverse_text":"NaN=(+⊝⨔∃⊬CAE)∀⇚≩(∃⊬1FE9⨸⪁∃⊬17FD)","cot":[{"info":"+⊝⨔∃⊬CAE=∃⊬5F2","layer":1},{"info":"∃⊬1FE9⨸⪁∃⊬17FD=∃⊬6FCC","layer":1},{"info":"∃⊬5F2∀⇚≩∃⊬6FCC=NaN","layer":0}]}
+{"id":865,"expression_no_base_symbol":"↯⪼($2452$⋥≓≎$2490$)","expression":"↯⪼(∃⊬994⋥≓≎∃⊬9BA)","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":2452,"base":16},"right_expr":{"type":"numeric_atoms","value":2490,"base":16}}},"used_operators":["8jW3W4yZS5","Qy55tPpLXF"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2452","layer":2},{"info":"number node, value=2490","layer":2},{"info":"compute binary expreesion, left_input=2452, right_input=2490, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2561","layer":1},{"info":"compute unary expreesion, input=2561, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":16,"result_base":16,"text":"↯⪼(∃⊬994⋥≓≎∃⊬9BA)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(∃⊬994⋥≓≎∃⊬9BA)","cot":[{"info":"∃⊬994⋥≓≎∃⊬9BA=∃⊬A01","layer":1},{"info":"↯⪼∃⊬A01=∃⊬-15","layer":0}]}
+{"id":866,"expression_no_base_symbol":"($4744$⪐)⫡⨏$6329$⨳⩥⨓$2856$","expression":"(∃⊬1288⪐)⫡⨏∃⊬18B9⨳⩥⨓∃⊬B28","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":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4744,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6329,"base":16},"right_expr":{"type":"numeric_atoms","value":2856,"base":16}}},"used_operators":["QMFrweE19q","eH2TOUuTDT","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬A13D","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4744","layer":2},{"info":"compute unary expreesion, input=4744, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=9488","layer":1},{"info":"number node, value=6329","layer":2},{"info":"number node, value=2856","layer":2},{"info":"compute binary expreesion, left_input=6329, right_input=2856, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3473","layer":1},{"info":"compute binary expreesion, left_input=9488, right_input=-3473, 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=41277","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1288⪐)⫡⨏∃⊬18B9⨳⩥⨓∃⊬B28=∃⊬A13D","reverse_text":"∃⊬A13D=(∃⊬1288⪐)⫡⨏∃⊬18B9⨳⩥⨓∃⊬B28","cot":[{"info":"∃⊬1288⪐=∃⊬2510","layer":1},{"info":"∃⊬18B9⨳⩥⨓∃⊬B28=∃⊬-D91","layer":1},{"info":"∃⊬2510⫡⨏∃⊬-D91=∃⊬A13D","layer":0}]}
+{"id":867,"expression_no_base_symbol":"($2765$⨎$9611$)≭($5829$∲⫓$3336$)","expression":"(∃⊬ACD⨎∃⊬258B)≭(∃⊬16C5∲⫓∃⊬D08)","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":2765,"base":16},"right_expr":{"type":"numeric_atoms","value":9611,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5829,"base":16},"right_expr":{"type":"numeric_atoms","value":3336,"base":16}}},"used_operators":["rxpJgHHUmx","rJVOvQCfKK","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-16","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2765","layer":2},{"info":"number node, value=9611","layer":2},{"info":"compute binary expreesion, left_input=2765, right_input=9611, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9611","layer":1},{"info":"number node, value=5829","layer":2},{"info":"number node, value=3336","layer":2},{"info":"compute binary expreesion, left_input=5829, right_input=3336, 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=9611, 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":16,"result_base":16,"text":"(∃⊬ACD⨎∃⊬258B)≭(∃⊬16C5∲⫓∃⊬D08)=∃⊬-16","reverse_text":"∃⊬-16=(∃⊬ACD⨎∃⊬258B)≭(∃⊬16C5∲⫓∃⊬D08)","cot":[{"info":"∃⊬ACD⨎∃⊬258B=∃⊬258B","layer":1},{"info":"∃⊬16C5∲⫓∃⊬D08=∃⊬0","layer":1},{"info":"∃⊬258B≭∃⊬0=∃⊬-16","layer":0}]}
+{"id":868,"expression_no_base_symbol":"$4697$∑⇟⊟$1556$%($5245$⊭∹↮)","expression":"∃⊬1259∑⇟⊟∃⊬614%(∃⊬147D⊭∹↮)","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":4697,"base":16},"right_expr":{"type":"numeric_atoms","value":1556,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5245,"base":16}}},"used_operators":["k8jYdgA6NY","U7g4x0WXJJ","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4697","layer":2},{"info":"number node, value=1556","layer":2},{"info":"compute binary expreesion, left_input=4697, right_input=1556, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=5245","layer":2},{"info":"compute unary expreesion, input=5245, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10490","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10490, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬1259∑⇟⊟∃⊬614%(∃⊬147D⊭∹↮)=NaN","reverse_text":"NaN=∃⊬1259∑⇟⊟∃⊬614%(∃⊬147D⊭∹↮)","cot":[{"info":"∃⊬1259∑⇟⊟∃⊬614=NaN","layer":1},{"info":"∃⊬147D⊭∹↮=∃⊬28FA","layer":1},{"info":"NaN%∃⊬28FA=NaN","layer":0}]}
+{"id":869,"expression_no_base_symbol":"($1868$⇼⇔∾$1903$)⨐⩸⫘(+⊝⨔$7079$)","expression":"(∃⊬74C⇼⇔∾∃⊬76F)⨐⩸⫘(+⊝⨔∃⊬1BA7)","highest_n_order":4,"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":1868,"base":16},"right_expr":{"type":"numeric_atoms","value":1903,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":7079,"base":16}}},"used_operators":["fu6greOZ01","tifHPKVTfV","DhbWaqg5eL"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1868","layer":2},{"info":"number node, value=1903","layer":2},{"info":"compute binary expreesion, left_input=1868, right_input=1903, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=35","layer":1},{"info":"number node, value=7079","layer":2},{"info":"compute unary expreesion, input=7079, 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=35, right_input=1522, 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":16,"result_base":16,"text":"(∃⊬74C⇼⇔∾∃⊬76F)⨐⩸⫘(+⊝⨔∃⊬1BA7)=NaN","reverse_text":"NaN=(∃⊬74C⇼⇔∾∃⊬76F)⨐⩸⫘(+⊝⨔∃⊬1BA7)","cot":[{"info":"∃⊬74C⇼⇔∾∃⊬76F=∃⊬23","layer":1},{"info":"+⊝⨔∃⊬1BA7=∃⊬5F2","layer":1},{"info":"∃⊬23⨐⩸⫘∃⊬5F2=NaN","layer":0}]}
+{"id":870,"expression_no_base_symbol":"+⊝⨔($1528$⩷∴$5181$)","expression":"+⊝⨔(∃⊬5F8⩷∴∃⊬143D)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1528,"base":16},"right_expr":{"type":"numeric_atoms","value":5181,"base":16}}},"used_operators":["DhbWaqg5eL","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1528","layer":2},{"info":"number node, value=5181","layer":2},{"info":"compute binary expreesion, left_input=1528, right_input=5181, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7338","layer":1},{"info":"compute unary expreesion, input=-7338, 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":16,"result_base":16,"text":"+⊝⨔(∃⊬5F8⩷∴∃⊬143D)=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(∃⊬5F8⩷∴∃⊬143D)","cot":[{"info":"∃⊬5F8⩷∴∃⊬143D=∃⊬-1CAA","layer":1},{"info":"+⊝⨔∃⊬-1CAA=∃⊬5F2","layer":0}]}
+{"id":871,"expression_no_base_symbol":"$1679$≭$2690$⨸⪁(⊄⩳↩$2889$)","expression":"∃⊬68F≭∃⊬A82⨸⪁(⊄⩳↩∃⊬B49)","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":1679,"base":16},"right_expr":{"type":"numeric_atoms","value":2690,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2889,"base":16}}},"used_operators":["g55IO6H4Gj","rxpJgHHUmx","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1679","layer":2},{"info":"number node, value=2690","layer":2},{"info":"compute binary expreesion, left_input=1679, right_input=2690, 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=2889","layer":2},{"info":"compute unary expreesion, input=2889, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8667","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8667, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬68F≭∃⊬A82⨸⪁(⊄⩳↩∃⊬B49)=NaN","reverse_text":"NaN=∃⊬68F≭∃⊬A82⨸⪁(⊄⩳↩∃⊬B49)","cot":[{"info":"∃⊬68F≭∃⊬A82=NaN","layer":1},{"info":"⊄⩳↩∃⊬B49=∃⊬-21DB","layer":1},{"info":"NaN⨸⪁∃⊬-21DB=NaN","layer":0}]}
+{"id":872,"expression_no_base_symbol":"($1993$⪐)⨁⊸⫻","expression":"(∃⊬7C9⪐)⨁⊸⫻","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":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1993,"base":16}}},"used_operators":["glklzrTFfD","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬F92","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1993","layer":2},{"info":"compute unary expreesion, input=1993, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3986","layer":1},{"info":"compute unary expreesion, input=3986, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3986","layer":0}],"base":16,"result_base":16,"text":"(∃⊬7C9⪐)⨁⊸⫻=∃⊬F92","reverse_text":"∃⊬F92=(∃⊬7C9⪐)⨁⊸⫻","cot":[{"info":"∃⊬7C9⪐=∃⊬F92","layer":1},{"info":"∃⊬F92⨁⊸⫻=∃⊬F92","layer":0}]}
+{"id":873,"expression_no_base_symbol":"⨰⫟⨤($3150$⋷$1356$)","expression":"⨰⫟⨤(∃⊬C4E⋷∃⊬54C)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2647,"operation_count":2,"complexity_ratio":1323.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3150,"base":16},"right_expr":{"type":"numeric_atoms","value":1356,"base":16}}},"used_operators":["Tw270M8GLb","23Mk6UjR3U"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3150","layer":2},{"info":"number node, value=1356","layer":2},{"info":"compute binary expreesion, left_input=3150, right_input=1356, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-438","layer":1},{"info":"compute unary expreesion, input=-438, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤(∃⊬C4E⋷∃⊬54C)=NaN","reverse_text":"NaN=⨰⫟⨤(∃⊬C4E⋷∃⊬54C)","cot":[{"info":"∃⊬C4E⋷∃⊬54C=∃⊬-1B6","layer":1},{"info":"⨰⫟⨤∃⊬-1B6=NaN","layer":0}]}
+{"id":874,"expression_no_base_symbol":"≉($2920$⇼⇔∾$4749$)","expression":"≉(∃⊬B68⇼⇔∾∃⊬128D)","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":2920,"base":16},"right_expr":{"type":"numeric_atoms","value":4749,"base":16}}},"used_operators":["e1ybzncUwg","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬938","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2920","layer":2},{"info":"number node, value=4749","layer":2},{"info":"compute binary expreesion, left_input=2920, right_input=4749, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1829","layer":1},{"info":"compute unary expreesion, input=1829, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2360","layer":0}],"base":16,"result_base":16,"text":"≉(∃⊬B68⇼⇔∾∃⊬128D)=∃⊬938","reverse_text":"∃⊬938=≉(∃⊬B68⇼⇔∾∃⊬128D)","cot":[{"info":"∃⊬B68⇼⇔∾∃⊬128D=∃⊬725","layer":1},{"info":"≉∃⊬725=∃⊬938","layer":0}]}
+{"id":875,"expression_no_base_symbol":"$8509$+⇶⊼$3614$+⇶⊼$1104$⨪↰⇹$2169$","expression":"∃⊬213D+⇶⊼∃⊬E1E+⇶⊼∃⊬450⨪↰⇹∃⊬879","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1106,"operation_count":3,"complexity_ratio":368.6666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8509,"base":16},"right_expr":{"type":"numeric_atoms","value":3614,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1104,"base":16},"right_expr":{"type":"numeric_atoms","value":2169,"base":16}}},"used_operators":["TpPTUOHfaN","tmPS8pqC7x"],"dependent_operators":["AHs5Up7iyr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=8509","layer":2},{"info":"number node, value=3614","layer":2},{"info":"compute binary expreesion, left_input=8509, right_input=3614, 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=1104","layer":2},{"info":"number node, value=2169","layer":2},{"info":"compute binary expreesion, left_input=1104, right_input=2169, 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=1104","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1104, 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":16,"result_base":16,"text":"∃⊬213D+⇶⊼∃⊬E1E+⇶⊼∃⊬450⨪↰⇹∃⊬879=NaN","reverse_text":"NaN=∃⊬213D+⇶⊼∃⊬E1E+⇶⊼∃⊬450⨪↰⇹∃⊬879","cot":[{"info":"∃⊬213D+⇶⊼∃⊬E1E=NaN","layer":1},{"info":"∃⊬450⨪↰⇹∃⊬879=∃⊬450","layer":1},{"info":"NaN+⇶⊼∃⊬450=NaN","layer":0}]}
+{"id":876,"expression_no_base_symbol":"⇁⨣⪵$1723$⨐⩸⫘$4505$","expression":"⇁⨣⪵∃⊬6BB⨐⩸⫘∃⊬1199","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":1723,"base":16},"right_expr":{"type":"numeric_atoms","value":4505,"base":16}}},"used_operators":["inkyxCbjAn","fu6greOZ01"],"dependent_operators":["B5M0gjZbta","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1723","layer":2},{"info":"number node, value=4505","layer":2},{"info":"compute binary expreesion, left_input=1723, right_input=4505, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵∃⊬6BB⨐⩸⫘∃⊬1199=NaN","reverse_text":"NaN=⇁⨣⪵∃⊬6BB⨐⩸⫘∃⊬1199","cot":[{"info":"∃⊬6BB⨐⩸⫘∃⊬1199=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
+{"id":877,"expression_no_base_symbol":"($1122$⋳⪒$1009$)⨟⋌⩍($1696$⨽$2176$)","expression":"(∃⊬462⋳⪒∃⊬3F1)⨟⋌⩍(∃⊬6A0⨽∃⊬880)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1713,"operation_count":3,"complexity_ratio":571.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1122,"base":16},"right_expr":{"type":"numeric_atoms","value":1009,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1696,"base":16},"right_expr":{"type":"numeric_atoms","value":2176,"base":16}}},"used_operators":["rGHVDoGpnC","12rbrZMWeM","8HhzD0ZcuI"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=1122, right_input=1009, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=948","layer":1},{"info":"number node, value=1696","layer":2},{"info":"number node, value=2176","layer":2},{"info":"compute binary expreesion, left_input=1696, right_input=2176, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8634462","layer":1},{"info":"compute binary expreesion, left_input=948, right_input=-8634462, 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":16,"result_base":16,"text":"(∃⊬462⋳⪒∃⊬3F1)⨟⋌⩍(∃⊬6A0⨽∃⊬880)=NaN","reverse_text":"NaN=(∃⊬462⋳⪒∃⊬3F1)⨟⋌⩍(∃⊬6A0⨽∃⊬880)","cot":[{"info":"∃⊬462⋳⪒∃⊬3F1=∃⊬3B4","layer":1},{"info":"∃⊬6A0⨽∃⊬880=∃⊬-83C05E","layer":1},{"info":"∃⊬3B4⨟⋌⩍∃⊬-83C05E=NaN","layer":0}]}
+{"id":878,"expression_no_base_symbol":"($3589$⋫)≣⋋","expression":"(∃⊬E05⋫)≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4103,"operation_count":2,"complexity_ratio":2051.5,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3589,"base":16}}},"used_operators":["Tcnh7f0tEr","JL8yIekQnl"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tmPS8pqC7x"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3589","layer":2},{"info":"compute unary expreesion, input=3589, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3589","layer":1},{"info":"compute unary expreesion, input=3589, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬E05⋫)≣⋋=∃⊬0","reverse_text":"∃⊬0=(∃⊬E05⋫)≣⋋","cot":[{"info":"∃⊬E05⋫=∃⊬E05","layer":1},{"info":"∃⊬E05≣⋋=∃⊬0","layer":0}]}
+{"id":879,"expression_no_base_symbol":"↩$4843$⋥≓≎$2277$","expression":"↩∃⊬12EB⋥≓≎∃⊬8E5","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":4843,"base":16},"right_expr":{"type":"numeric_atoms","value":2277,"base":16}}},"used_operators":["jLgFTUHLKL","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬E3C","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4843","layer":2},{"info":"number node, value=2277","layer":2},{"info":"compute binary expreesion, left_input=4843, right_input=2277, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-256","layer":1},{"info":"compute unary expreesion, input=-256, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=3644","layer":0}],"base":16,"result_base":16,"text":"↩∃⊬12EB⋥≓≎∃⊬8E5=∃⊬E3C","reverse_text":"∃⊬E3C=↩∃⊬12EB⋥≓≎∃⊬8E5","cot":[{"info":"∃⊬12EB⋥≓≎∃⊬8E5=∃⊬-100","layer":1},{"info":"↩∃⊬-100=∃⊬E3C","layer":0}]}
+{"id":880,"expression_no_base_symbol":"($1849$≋⫹)⪄($6611$*$1559$)","expression":"(∃⊬739≋⫹)⪄(∃⊬19D3*∃⊬617)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1655,"operation_count":3,"complexity_ratio":551.6666666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1849,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6611,"base":16},"right_expr":{"type":"numeric_atoms","value":1559,"base":16}}},"used_operators":["SUmda5xLS4","N41Kp7NANJ","9HNa5Wba9A"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1849","layer":2},{"info":"compute unary expreesion, input=1849, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3698","layer":1},{"info":"number node, value=6611","layer":2},{"info":"number node, value=1559","layer":2},{"info":"compute binary expreesion, left_input=6611, right_input=1559, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10306549","layer":1},{"info":"compute binary expreesion, left_input=-3698, right_input=10306549, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":16,"result_base":16,"text":"(∃⊬739≋⫹)⪄(∃⊬19D3*∃⊬617)=∃⊬F8B","reverse_text":"∃⊬F8B=(∃⊬739≋⫹)⪄(∃⊬19D3*∃⊬617)","cot":[{"info":"∃⊬739≋⫹=∃⊬-E72","layer":1},{"info":"∃⊬19D3*∃⊬617=∃⊬9D43F5","layer":1},{"info":"∃⊬-E72⪄∃⊬9D43F5=∃⊬F8B","layer":0}]}
+{"id":881,"expression_no_base_symbol":"⫓⪴($1119$↛⩡⫤)","expression":"⫓⪴(∃⊬45F↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":168549,"operation_count":2,"complexity_ratio":84274.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1119,"base":16}}},"used_operators":["eLxqMNBOBk","FU0Cs4j7VP"],"dependent_operators":["9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":2},{"info":"compute unary expreesion, input=1119, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-165058","layer":1},{"info":"compute unary expreesion, input=-165058, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":0}],"base":16,"result_base":16,"text":"⫓⪴(∃⊬45F↛⩡⫤)=Inf","reverse_text":"Inf=⫓⪴(∃⊬45F↛⩡⫤)","cot":[{"info":"∃⊬45F↛⩡⫤=∃⊬-284C2","layer":1},{"info":"⫓⪴∃⊬-284C2=Inf","layer":0}]}
+{"id":882,"expression_no_base_symbol":"($2530$⪄$4985$)⋓(⫛⫱⨽$4127$)","expression":"(∃⊬9E2⪄∃⊬1379)⋓(⫛⫱⨽∃⊬101F)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1530,"operation_count":3,"complexity_ratio":510.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2530,"base":16},"right_expr":{"type":"numeric_atoms","value":4985,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4127,"base":16}}},"used_operators":["T2fj7uvVaJ","SUmda5xLS4","DlLNRPXxWL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2530","layer":2},{"info":"number node, value=4985","layer":2},{"info":"compute binary expreesion, left_input=2530, right_input=4985, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-390469","layer":1},{"info":"number node, value=4127","layer":2},{"info":"compute unary expreesion, input=4127, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-390469, 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":16,"result_base":16,"text":"(∃⊬9E2⪄∃⊬1379)⋓(⫛⫱⨽∃⊬101F)=∃⊬0","reverse_text":"∃⊬0=(∃⊬9E2⪄∃⊬1379)⋓(⫛⫱⨽∃⊬101F)","cot":[{"info":"∃⊬9E2⪄∃⊬1379=∃⊬-5F545","layer":1},{"info":"⫛⫱⨽∃⊬101F=∃⊬0","layer":1},{"info":"∃⊬-5F545⋓∃⊬0=∃⊬0","layer":0}]}
+{"id":883,"expression_no_base_symbol":"($1005$%$7459$)≹⇙⪍($1906$⨰$1992$)","expression":"(∃⊬3ED%∃⊬1D23)≹⇙⪍(∃⊬772⨰∃⊬7C8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7316,"operation_count":3,"complexity_ratio":2438.6666666666665,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1005,"base":16},"right_expr":{"type":"numeric_atoms","value":7459,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1906,"base":16},"right_expr":{"type":"numeric_atoms","value":1992,"base":16}}},"used_operators":["AHs5Up7iyr","k8jYdgA6NY","eewbuw0ToL"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1005","layer":2},{"info":"number node, value=7459","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=7459, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1005","layer":1},{"info":"number node, value=1906","layer":2},{"info":"number node, value=1992","layer":2},{"info":"compute binary expreesion, left_input=1906, right_input=1992, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-76","layer":1},{"info":"compute binary expreesion, left_input=1005, right_input=-76, 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":16,"result_base":16,"text":"(∃⊬3ED%∃⊬1D23)≹⇙⪍(∃⊬772⨰∃⊬7C8)=NaN","reverse_text":"NaN=(∃⊬3ED%∃⊬1D23)≹⇙⪍(∃⊬772⨰∃⊬7C8)","cot":[{"info":"∃⊬3ED%∃⊬1D23=∃⊬3ED","layer":1},{"info":"∃⊬772⨰∃⊬7C8=∃⊬-4C","layer":1},{"info":"∃⊬3ED≹⇙⪍∃⊬-4C=NaN","layer":0}]}
+{"id":884,"expression_no_base_symbol":"($2774$+$1305$)≎⊠⪸($1497$≎⊠⪸$1398$)","expression":"(∃⊬AD6+∃⊬519)≎⊠⪸(∃⊬5D9≎⊠⪸∃⊬576)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":541,"operation_count":3,"complexity_ratio":180.33333333333334,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2774,"base":16},"right_expr":{"type":"numeric_atoms","value":1305,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1497,"base":16},"right_expr":{"type":"numeric_atoms","value":1398,"base":16}}},"used_operators":["bJkvcejdHO","W4YGzv6Whe"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬101CF4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2774","layer":2},{"info":"number node, value=1305","layer":2},{"info":"compute binary expreesion, left_input=2774, right_input=1305, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4079","layer":1},{"info":"number node, value=1497","layer":2},{"info":"number node, value=1398","layer":2},{"info":"compute binary expreesion, left_input=1497, right_input=1398, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=387250","layer":1},{"info":"compute binary expreesion, left_input=4079, right_input=387250, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1055988","layer":0}],"base":16,"result_base":16,"text":"(∃⊬AD6+∃⊬519)≎⊠⪸(∃⊬5D9≎⊠⪸∃⊬576)=∃⊬101CF4","reverse_text":"∃⊬101CF4=(∃⊬AD6+∃⊬519)≎⊠⪸(∃⊬5D9≎⊠⪸∃⊬576)","cot":[{"info":"∃⊬AD6+∃⊬519=∃⊬FEF","layer":1},{"info":"∃⊬5D9≎⊠⪸∃⊬576=∃⊬5E8B2","layer":1},{"info":"∃⊬FEF≎⊠⪸∃⊬5E8B2=∃⊬101CF4","layer":0}]}
+{"id":885,"expression_no_base_symbol":"$4448$⋝⋈⪟$1183$≧⫂∧($2698$⪒$1438$)","expression":"∃⊬1160⋝⋈⪟∃⊬49F≧⫂∧(∃⊬A8A⪒∃⊬59E)","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":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4448,"base":16},"right_expr":{"type":"numeric_atoms","value":1183,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2698,"base":16},"right_expr":{"type":"numeric_atoms","value":1438,"base":16}}},"used_operators":["Ph9nP6C5qx","2DDjHMKMc0","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬2188","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4448","layer":2},{"info":"number node, value=1183","layer":2},{"info":"compute binary expreesion, left_input=4448, right_input=1183, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4448","layer":1},{"info":"number node, value=2698","layer":2},{"info":"number node, value=1438","layer":2},{"info":"compute binary expreesion, left_input=2698, right_input=1438, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4136","layer":1},{"info":"compute binary expreesion, left_input=4448, right_input=-4136, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8584","layer":0}],"base":16,"result_base":16,"text":"∃⊬1160⋝⋈⪟∃⊬49F≧⫂∧(∃⊬A8A⪒∃⊬59E)=∃⊬2188","reverse_text":"∃⊬2188=∃⊬1160⋝⋈⪟∃⊬49F≧⫂∧(∃⊬A8A⪒∃⊬59E)","cot":[{"info":"∃⊬1160⋝⋈⪟∃⊬49F=∃⊬1160","layer":1},{"info":"∃⊬A8A⪒∃⊬59E=∃⊬-1028","layer":1},{"info":"∃⊬1160≧⫂∧∃⊬-1028=∃⊬2188","layer":0}]}
+{"id":886,"expression_no_base_symbol":"($4908$⋥≓≎$2348$)↬($1844$⨸⪁$6200$)","expression":"(∃⊬132C⋥≓≎∃⊬92C)↬(∃⊬734⨸⪁∃⊬1838)","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":4908,"base":16},"right_expr":{"type":"numeric_atoms","value":2348,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1844,"base":16},"right_expr":{"type":"numeric_atoms","value":6200,"base":16}}},"used_operators":["B5M0gjZbta","Qy55tPpLXF","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4908","layer":2},{"info":"number node, value=2348","layer":2},{"info":"compute binary expreesion, left_input=4908, right_input=2348, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-179","layer":1},{"info":"number node, value=1844","layer":2},{"info":"number node, value=6200","layer":2},{"info":"compute binary expreesion, left_input=1844, right_input=6200, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16088","layer":1},{"info":"compute binary expreesion, left_input=-179, right_input=16088, 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":16,"result_base":16,"text":"(∃⊬132C⋥≓≎∃⊬92C)↬(∃⊬734⨸⪁∃⊬1838)=NaN","reverse_text":"NaN=(∃⊬132C⋥≓≎∃⊬92C)↬(∃⊬734⨸⪁∃⊬1838)","cot":[{"info":"∃⊬132C⋥≓≎∃⊬92C=∃⊬-B3","layer":1},{"info":"∃⊬734⨸⪁∃⊬1838=∃⊬3ED8","layer":1},{"info":"∃⊬-B3↬∃⊬3ED8=NaN","layer":0}]}
+{"id":887,"expression_no_base_symbol":"$1185$⨽$2550$%$2922$≹⇙⪍$8855$","expression":"∃⊬4A1⨽∃⊬9F6%∃⊬B6A≹⇙⪍∃⊬2297","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1196,"operation_count":3,"complexity_ratio":398.6666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1185,"base":16},"right_expr":{"type":"numeric_atoms","value":2550,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2922,"base":16},"right_expr":{"type":"numeric_atoms","value":8855,"base":16}}},"used_operators":["k8jYdgA6NY","8HhzD0ZcuI","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1185","layer":2},{"info":"number node, value=2550","layer":2},{"info":"compute binary expreesion, left_input=1185, right_input=2550, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4219011","layer":1},{"info":"number node, value=2922","layer":2},{"info":"number node, value=8855","layer":2},{"info":"compute binary expreesion, left_input=2922, right_input=8855, 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=-4219011, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬4A1⨽∃⊬9F6%∃⊬B6A≹⇙⪍∃⊬2297=NaN","reverse_text":"NaN=∃⊬4A1⨽∃⊬9F6%∃⊬B6A≹⇙⪍∃⊬2297","cot":[{"info":"∃⊬4A1⨽∃⊬9F6=∃⊬-406083","layer":1},{"info":"∃⊬B6A≹⇙⪍∃⊬2297=NaN","layer":1},{"info":"∃⊬-406083%NaN=NaN","layer":0}]}
+{"id":888,"expression_no_base_symbol":"$1636$⨪↰⇹$2027$⨳⩥⨓(⩦⩻⨪$3159$)","expression":"∃⊬664⨪↰⇹∃⊬7EB⨳⩥⨓(⩦⩻⨪∃⊬C57)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1642,"operation_count":3,"complexity_ratio":547.3333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1636,"base":16},"right_expr":{"type":"numeric_atoms","value":2027,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3159,"base":16}}},"used_operators":["nCS4ZIUYfx","tmPS8pqC7x","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬5F3","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1636","layer":2},{"info":"number node, value=2027","layer":2},{"info":"compute binary expreesion, left_input=1636, right_input=2027, 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=1636","layer":1},{"info":"number node, value=3159","layer":2},{"info":"compute unary expreesion, input=3159, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3159","layer":1},{"info":"compute binary expreesion, left_input=1636, right_input=3159, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1523","layer":0}],"base":16,"result_base":16,"text":"∃⊬664⨪↰⇹∃⊬7EB⨳⩥⨓(⩦⩻⨪∃⊬C57)=∃⊬5F3","reverse_text":"∃⊬5F3=∃⊬664⨪↰⇹∃⊬7EB⨳⩥⨓(⩦⩻⨪∃⊬C57)","cot":[{"info":"∃⊬664⨪↰⇹∃⊬7EB=∃⊬664","layer":1},{"info":"⩦⩻⨪∃⊬C57=∃⊬C57","layer":1},{"info":"∃⊬664⨳⩥⨓∃⊬C57=∃⊬5F3","layer":0}]}
+{"id":889,"expression_no_base_symbol":"↣≠⋷($9238$⪢$2913$)","expression":"↣≠⋷(∃⊬2416⪢∃⊬B61)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11286,"operation_count":2,"complexity_ratio":5643.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":9238,"base":16},"right_expr":{"type":"numeric_atoms","value":2913,"base":16}}},"used_operators":["Asc51vEJeQ","dWAJyo7jo9"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=9238","layer":2},{"info":"number node, value=2913","layer":2},{"info":"compute binary expreesion, left_input=9238, right_input=2913, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷(∃⊬2416⪢∃⊬B61)=NaN","reverse_text":"NaN=↣≠⋷(∃⊬2416⪢∃⊬B61)","cot":[{"info":"∃⊬2416⪢∃⊬B61=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
+{"id":890,"expression_no_base_symbol":"($5117$⨪↰⇹$1154$)↬($3548$⫸⊐$2965$)","expression":"(∃⊬13FD⨪↰⇹∃⊬482)↬(∃⊬DDC⫸⊐∃⊬B95)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5142,"operation_count":3,"complexity_ratio":1714.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5117,"base":16},"right_expr":{"type":"numeric_atoms","value":1154,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3548,"base":16},"right_expr":{"type":"numeric_atoms","value":2965,"base":16}}},"used_operators":["B5M0gjZbta","tmPS8pqC7x","mqXw5SEYmG"],"dependent_operators":["rGHVDoGpnC","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5117","layer":2},{"info":"number node, value=1154","layer":2},{"info":"compute binary expreesion, left_input=5117, 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=5117","layer":1},{"info":"number node, value=3548","layer":2},{"info":"number node, value=2965","layer":2},{"info":"compute binary expreesion, left_input=3548, right_input=2965, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11735","layer":1},{"info":"compute binary expreesion, left_input=5117, right_input=11735, 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":16,"result_base":16,"text":"(∃⊬13FD⨪↰⇹∃⊬482)↬(∃⊬DDC⫸⊐∃⊬B95)=NaN","reverse_text":"NaN=(∃⊬13FD⨪↰⇹∃⊬482)↬(∃⊬DDC⫸⊐∃⊬B95)","cot":[{"info":"∃⊬13FD⨪↰⇹∃⊬482=∃⊬13FD","layer":1},{"info":"∃⊬DDC⫸⊐∃⊬B95=∃⊬2DD7","layer":1},{"info":"∃⊬13FD↬∃⊬2DD7=NaN","layer":0}]}
+{"id":891,"expression_no_base_symbol":"$3538$⋓$2200$≧⫂∧($1074$⋓$4507$)","expression":"∃⊬DD2⋓∃⊬898≧⫂∧(∃⊬432⋓∃⊬119B)","highest_n_order":3,"priority_hierarchical_complexity":1,"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":3538,"base":16},"right_expr":{"type":"numeric_atoms","value":2200,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1074,"base":16},"right_expr":{"type":"numeric_atoms","value":4507,"base":16}}},"used_operators":["Ph9nP6C5qx","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬-1D9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3538","layer":2},{"info":"number node, value=2200","layer":2},{"info":"compute binary expreesion, left_input=3538, right_input=2200, 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=1074","layer":2},{"info":"number node, value=4507","layer":2},{"info":"compute binary expreesion, left_input=1074, right_input=4507, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":16,"result_base":16,"text":"∃⊬DD2⋓∃⊬898≧⫂∧(∃⊬432⋓∃⊬119B)=∃⊬-1D9","reverse_text":"∃⊬-1D9=∃⊬DD2⋓∃⊬898≧⫂∧(∃⊬432⋓∃⊬119B)","cot":[{"info":"∃⊬DD2⋓∃⊬898=∃⊬0","layer":1},{"info":"∃⊬432⋓∃⊬119B=∃⊬0","layer":1},{"info":"∃⊬0≧⫂∧∃⊬0=∃⊬-1D9","layer":0}]}
+{"id":892,"expression_no_base_symbol":"(⊥$2360$)%$3124$∑⇟⊟$3926$","expression":"(⊥∃⊬938)%∃⊬C34∑⇟⊟∃⊬F56","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":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2360,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3124,"base":16},"right_expr":{"type":"numeric_atoms","value":3926,"base":16}}},"used_operators":["k8jYdgA6NY","Q3PJZHRvZv","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2360","layer":2},{"info":"compute unary expreesion, input=2360, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=3124","layer":2},{"info":"number node, value=3926","layer":2},{"info":"compute binary expreesion, left_input=3124, right_input=3926, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊥∃⊬938)%∃⊬C34∑⇟⊟∃⊬F56=NaN","reverse_text":"NaN=(⊥∃⊬938)%∃⊬C34∑⇟⊟∃⊬F56","cot":[{"info":"⊥∃⊬938=NaN","layer":1},{"info":"∃⊬C34∑⇟⊟∃⊬F56=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
+{"id":893,"expression_no_base_symbol":"$7707$⇼⇔∾$1784$*$1523$⨪↰⇹$3080$","expression":"∃⊬1E1B⇼⇔∾∃⊬6F8*∃⊬5F3⨪↰⇹∃⊬C08","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3048,"operation_count":3,"complexity_ratio":1016.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7707,"base":16},"right_expr":{"type":"numeric_atoms","value":1784,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1523,"base":16},"right_expr":{"type":"numeric_atoms","value":3080,"base":16}}},"used_operators":["9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"∃⊬-89A539","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7707","layer":2},{"info":"number node, value=1784","layer":2},{"info":"compute binary expreesion, left_input=7707, right_input=1784, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5923","layer":1},{"info":"number node, value=1523","layer":2},{"info":"number node, value=3080","layer":2},{"info":"compute binary expreesion, left_input=1523, right_input=3080, 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=1523","layer":1},{"info":"compute binary expreesion, left_input=-5923, right_input=1523, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-9020729","layer":0}],"base":16,"result_base":16,"text":"∃⊬1E1B⇼⇔∾∃⊬6F8*∃⊬5F3⨪↰⇹∃⊬C08=∃⊬-89A539","reverse_text":"∃⊬-89A539=∃⊬1E1B⇼⇔∾∃⊬6F8*∃⊬5F3⨪↰⇹∃⊬C08","cot":[{"info":"∃⊬1E1B⇼⇔∾∃⊬6F8=∃⊬-1723","layer":1},{"info":"∃⊬5F3⨪↰⇹∃⊬C08=∃⊬5F3","layer":1},{"info":"∃⊬-1723*∃⊬5F3=∃⊬-89A539","layer":0}]}
+{"id":894,"expression_no_base_symbol":"($2245$⋷$1572$)↛⩡⫤","expression":"(∃⊬8C5⋷∃⊬624)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2834,"operation_count":2,"complexity_ratio":1417.0,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2245,"base":16},"right_expr":{"type":"numeric_atoms","value":1572,"base":16}}},"used_operators":["FU0Cs4j7VP","23Mk6UjR3U"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-202FE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2245","layer":2},{"info":"number node, value=1572","layer":2},{"info":"compute binary expreesion, left_input=2245, right_input=1572, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=899","layer":1},{"info":"compute unary expreesion, input=899, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-131838","layer":0}],"base":16,"result_base":16,"text":"(∃⊬8C5⋷∃⊬624)↛⩡⫤=∃⊬-202FE","reverse_text":"∃⊬-202FE=(∃⊬8C5⋷∃⊬624)↛⩡⫤","cot":[{"info":"∃⊬8C5⋷∃⊬624=∃⊬383","layer":1},{"info":"∃⊬383↛⩡⫤=∃⊬-202FE","layer":0}]}
+{"id":895,"expression_no_base_symbol":"∂($2694$↺$3843$)","expression":"∂(∃⊬A86↺∃⊬F03)","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":2694,"base":16},"right_expr":{"type":"numeric_atoms","value":3843,"base":16}}},"used_operators":["Uaa54Peajs","7j4O788W3g"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2694","layer":2},{"info":"number node, value=3843","layer":2},{"info":"compute binary expreesion, left_input=2694, right_input=3843, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3843","layer":1},{"info":"compute unary expreesion, input=3843, 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":16,"result_base":16,"text":"∂(∃⊬A86↺∃⊬F03)=NaN","reverse_text":"NaN=∂(∃⊬A86↺∃⊬F03)","cot":[{"info":"∃⊬A86↺∃⊬F03=∃⊬F03","layer":1},{"info":"∂∃⊬F03=NaN","layer":0}]}
+{"id":896,"expression_no_base_symbol":"($2412$⨵⪆$1021$)≹⇙⪍($1317$∀⇚≩$3522$)","expression":"(∃⊬96C⨵⪆∃⊬3FD)≹⇙⪍(∃⊬525∀⇚≩∃⊬DC2)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9221,"operation_count":3,"complexity_ratio":3073.6666666666665,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2412,"base":16},"right_expr":{"type":"numeric_atoms","value":1021,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1317,"base":16},"right_expr":{"type":"numeric_atoms","value":3522,"base":16}}},"used_operators":["AHs5Up7iyr","2DQ55sFlQl","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2412","layer":2},{"info":"number node, value=1021","layer":2},{"info":"compute binary expreesion, left_input=2412, right_input=1021, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1317","layer":2},{"info":"number node, value=3522","layer":2},{"info":"compute binary expreesion, left_input=1317, right_input=3522, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 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":16,"result_base":16,"text":"(∃⊬96C⨵⪆∃⊬3FD)≹⇙⪍(∃⊬525∀⇚≩∃⊬DC2)=NaN","reverse_text":"NaN=(∃⊬96C⨵⪆∃⊬3FD)≹⇙⪍(∃⊬525∀⇚≩∃⊬DC2)","cot":[{"info":"∃⊬96C⨵⪆∃⊬3FD=∃⊬A0","layer":1},{"info":"∃⊬525∀⇚≩∃⊬DC2=NaN","layer":1},{"info":"∃⊬A0≹⇙⪍NaN=NaN","layer":0}]}
+{"id":897,"expression_no_base_symbol":"($1358$-$3502$)∀⇚≩(↔$2590$)","expression":"(∃⊬54E-∃⊬DAE)∀⇚≩(↔∃⊬A1E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15016,"operation_count":3,"complexity_ratio":5005.333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1358,"base":16},"right_expr":{"type":"numeric_atoms","value":3502,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2590,"base":16}}},"used_operators":["LRNGc0VcxI","rysDP5nf3Z","ruOEQAzv1W"],"dependent_operators":["X99M06cbEe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":2},{"info":"number node, value=3502","layer":2},{"info":"compute binary expreesion, left_input=1358, right_input=3502, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2144","layer":1},{"info":"number node, value=2590","layer":2},{"info":"compute unary expreesion, input=2590, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2317","layer":1},{"info":"compute binary expreesion, left_input=-2144, right_input=-2317, 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":16,"result_base":16,"text":"(∃⊬54E-∃⊬DAE)∀⇚≩(↔∃⊬A1E)=NaN","reverse_text":"NaN=(∃⊬54E-∃⊬DAE)∀⇚≩(↔∃⊬A1E)","cot":[{"info":"∃⊬54E-∃⊬DAE=∃⊬-860","layer":1},{"info":"↔∃⊬A1E=∃⊬-90D","layer":1},{"info":"∃⊬-860∀⇚≩∃⊬-90D=NaN","layer":0}]}
+{"id":898,"expression_no_base_symbol":"$1969$∑⇟⊟$3380$⨰($6220$⫥∨⫟$3021$)","expression":"∃⊬7B1∑⇟⊟∃⊬D34⨰(∃⊬184C⫥∨⫟∃⊬BCD)","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":1969,"base":16},"right_expr":{"type":"numeric_atoms","value":3380,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6220,"base":16},"right_expr":{"type":"numeric_atoms","value":3021,"base":16}}},"used_operators":["eewbuw0ToL","U7g4x0WXJJ","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1969","layer":2},{"info":"number node, value=3380","layer":2},{"info":"compute binary expreesion, left_input=1969, right_input=3380, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6220","layer":2},{"info":"number node, value=3021","layer":2},{"info":"compute binary expreesion, left_input=6220, right_input=3021, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬7B1∑⇟⊟∃⊬D34⨰(∃⊬184C⫥∨⫟∃⊬BCD)=NaN","reverse_text":"NaN=∃⊬7B1∑⇟⊟∃⊬D34⨰(∃⊬184C⫥∨⫟∃⊬BCD)","cot":[{"info":"∃⊬7B1∑⇟⊟∃⊬D34=NaN","layer":1},{"info":"∃⊬184C⫥∨⫟∃⊬BCD=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
+{"id":899,"expression_no_base_symbol":"($4813$+$1347$)⨸⪁($8142$⪒$2066$)","expression":"(∃⊬12CD+∃⊬543)⨸⪁(∃⊬1FCE⪒∃⊬812)","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":4813,"base":16},"right_expr":{"type":"numeric_atoms","value":1347,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8142,"base":16},"right_expr":{"type":"numeric_atoms","value":2066,"base":16}}},"used_operators":["g55IO6H4Gj","W4YGzv6Whe","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1FA0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4813","layer":2},{"info":"number node, value=1347","layer":2},{"info":"compute binary expreesion, left_input=4813, right_input=1347, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6160","layer":1},{"info":"number node, value=8142","layer":2},{"info":"number node, value=2066","layer":2},{"info":"compute binary expreesion, left_input=8142, right_input=2066, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10208","layer":1},{"info":"compute binary expreesion, left_input=6160, right_input=-10208, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-8096","layer":0}],"base":16,"result_base":16,"text":"(∃⊬12CD+∃⊬543)⨸⪁(∃⊬1FCE⪒∃⊬812)=∃⊬-1FA0","reverse_text":"∃⊬-1FA0=(∃⊬12CD+∃⊬543)⨸⪁(∃⊬1FCE⪒∃⊬812)","cot":[{"info":"∃⊬12CD+∃⊬543=∃⊬1810","layer":1},{"info":"∃⊬1FCE⪒∃⊬812=∃⊬-27E0","layer":1},{"info":"∃⊬1810⨸⪁∃⊬-27E0=∃⊬-1FA0","layer":0}]}
+{"id":900,"expression_no_base_symbol":"∂($1229$⇋≉)","expression":"∂(∃⊬4CD⇋≉)","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":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1229,"base":16}}},"used_operators":["Uaa54Peajs","XIabStNQrY"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1229","layer":2},{"info":"compute unary expreesion, input=1229, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2360","layer":1},{"info":"compute unary expreesion, input=2360, 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":16,"result_base":16,"text":"∂(∃⊬4CD⇋≉)=NaN","reverse_text":"NaN=∂(∃⊬4CD⇋≉)","cot":[{"info":"∃⊬4CD⇋≉=∃⊬938","layer":1},{"info":"∂∃⊬938=NaN","layer":0}]}
+{"id":901,"expression_no_base_symbol":"∥⊫(↥$2417$)","expression":"∥⊫(↥∃⊬971)","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":2417,"base":16}}},"used_operators":["P8v4zCKN1o","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"∃⊬378","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2417","layer":2},{"info":"compute unary expreesion, input=2417, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":1},{"info":"compute unary expreesion, input=20, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=888","layer":0}],"base":16,"result_base":16,"text":"∥⊫(↥∃⊬971)=∃⊬378","reverse_text":"∃⊬378=∥⊫(↥∃⊬971)","cot":[{"info":"↥∃⊬971=∃⊬14","layer":1},{"info":"∥⊫∃⊬14=∃⊬378","layer":0}]}
+{"id":902,"expression_no_base_symbol":"$1462$⪄$4048$⪨≂$4397$⊉≛↸$3905$","expression":"∃⊬5B6⪄∃⊬FD0⪨≂∃⊬112D⊉≛↸∃⊬F41","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":1462,"base":16},"right_expr":{"type":"numeric_atoms","value":4048,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4397,"base":16},"right_expr":{"type":"numeric_atoms","value":3905,"base":16}}},"used_operators":["sdazOOVcIp","SUmda5xLS4","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-73EB0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1462","layer":2},{"info":"number node, value=4048","layer":2},{"info":"compute binary expreesion, left_input=1462, right_input=4048, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-228657","layer":1},{"info":"number node, value=4397","layer":2},{"info":"number node, value=3905","layer":2},{"info":"compute binary expreesion, left_input=4397, right_input=3905, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8794","layer":1},{"info":"compute binary expreesion, left_input=-228657, right_input=8794, 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=-474800","layer":0}],"base":16,"result_base":16,"text":"∃⊬5B6⪄∃⊬FD0⪨≂∃⊬112D⊉≛↸∃⊬F41=∃⊬-73EB0","reverse_text":"∃⊬-73EB0=∃⊬5B6⪄∃⊬FD0⪨≂∃⊬112D⊉≛↸∃⊬F41","cot":[{"info":"∃⊬5B6⪄∃⊬FD0=∃⊬-37D31","layer":1},{"info":"∃⊬112D⊉≛↸∃⊬F41=∃⊬225A","layer":1},{"info":"∃⊬-37D31⪨≂∃⊬225A=∃⊬-73EB0","layer":0}]}
+{"id":903,"expression_no_base_symbol":"↥($2518$+$1128$)","expression":"↥(∃⊬9D6+∃⊬468)","highest_n_order":2,"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":2518,"base":16},"right_expr":{"type":"numeric_atoms","value":1128,"base":16}}},"used_operators":["A8NUZmVepG","W4YGzv6Whe"],"dependent_operators":["k8jYdgA6NY"],"result":"∃⊬19","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2518","layer":2},{"info":"number node, value=1128","layer":2},{"info":"compute binary expreesion, left_input=2518, right_input=1128, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3646","layer":1},{"info":"compute unary expreesion, input=3646, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":0}],"base":16,"result_base":16,"text":"↥(∃⊬9D6+∃⊬468)=∃⊬19","reverse_text":"∃⊬19=↥(∃⊬9D6+∃⊬468)","cot":[{"info":"∃⊬9D6+∃⊬468=∃⊬E3E","layer":1},{"info":"↥∃⊬E3E=∃⊬19","layer":0}]}
+{"id":904,"expression_no_base_symbol":"⇁⨣⪵($2380$/$1158$)","expression":"⇁⨣⪵(∃⊬94C/∃⊬486)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2380,"base":16},"right_expr":{"type":"numeric_atoms","value":1158,"base":16}}},"used_operators":["inkyxCbjAn","XhwjNDsVaA"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2380","layer":2},{"info":"number node, value=1158","layer":2},{"info":"compute binary expreesion, left_input=2380, right_input=1158, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"compute unary expreesion, input=2, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵(∃⊬94C/∃⊬486)=∃⊬0","reverse_text":"∃⊬0=⇁⨣⪵(∃⊬94C/∃⊬486)","cot":[{"info":"∃⊬94C/∃⊬486=∃⊬2","layer":1},{"info":"⇁⨣⪵∃⊬2=∃⊬0","layer":0}]}
+{"id":905,"expression_no_base_symbol":"(⨰⫟⨤$1301$)⨪↰⇹($5340$⫡⨏$4004$)","expression":"(⨰⫟⨤∃⊬515)⨪↰⇹(∃⊬14DC⫡⨏∃⊬FA4)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4372,"operation_count":3,"complexity_ratio":1457.3333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1301,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5340,"base":16},"right_expr":{"type":"numeric_atoms","value":4004,"base":16}}},"used_operators":["tmPS8pqC7x","Tw270M8GLb","QMFrweE19q"],"dependent_operators":["rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1301","layer":2},{"info":"compute unary expreesion, input=1301, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=5340","layer":2},{"info":"number node, value=4004","layer":2},{"info":"compute binary expreesion, left_input=5340, right_input=4004, 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=35491","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=35491, 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":16,"result_base":16,"text":"(⨰⫟⨤∃⊬515)⨪↰⇹(∃⊬14DC⫡⨏∃⊬FA4)=NaN","reverse_text":"NaN=(⨰⫟⨤∃⊬515)⨪↰⇹(∃⊬14DC⫡⨏∃⊬FA4)","cot":[{"info":"⨰⫟⨤∃⊬515=NaN","layer":1},{"info":"∃⊬14DC⫡⨏∃⊬FA4=∃⊬8AA3","layer":1},{"info":"NaN⨪↰⇹∃⊬8AA3=NaN","layer":0}]}
+{"id":906,"expression_no_base_symbol":"($1011$↪⪝)≧⫂∧(⫓⪴$1349$)","expression":"(∃⊬3F3↪⪝)≧⫂∧(⫓⪴∃⊬545)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2050,"operation_count":3,"complexity_ratio":683.3333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1011,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1349,"base":16}}},"used_operators":["Ph9nP6C5qx","l07mrZUIn9","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A"],"result":"∃⊬1BC2C0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":2},{"info":"compute unary expreesion, input=1011, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=61855002","layer":1},{"info":"number node, value=1349","layer":2},{"info":"compute unary expreesion, input=1349, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1819801","layer":1},{"info":"compute binary expreesion, left_input=61855002, right_input=1819801, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1819328","layer":0}],"base":16,"result_base":16,"text":"(∃⊬3F3↪⪝)≧⫂∧(⫓⪴∃⊬545)=∃⊬1BC2C0","reverse_text":"∃⊬1BC2C0=(∃⊬3F3↪⪝)≧⫂∧(⫓⪴∃⊬545)","cot":[{"info":"∃⊬3F3↪⪝=∃⊬3AFD51A","layer":1},{"info":"⫓⪴∃⊬545=∃⊬1BC499","layer":1},{"info":"∃⊬3AFD51A≧⫂∧∃⊬1BC499=∃⊬1BC2C0","layer":0}]}
+{"id":907,"expression_no_base_symbol":"($3906$⋷$5482$)≋⫹","expression":"(∃⊬F42⋷∃⊬156A)≋⫹","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":3906,"base":16},"right_expr":{"type":"numeric_atoms","value":5482,"base":16}}},"used_operators":["N41Kp7NANJ","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-3724","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3906","layer":2},{"info":"number node, value=5482","layer":2},{"info":"compute binary expreesion, left_input=3906, right_input=5482, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7058","layer":1},{"info":"compute unary expreesion, input=7058, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14116","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F42⋷∃⊬156A)≋⫹=∃⊬-3724","reverse_text":"∃⊬-3724=(∃⊬F42⋷∃⊬156A)≋⫹","cot":[{"info":"∃⊬F42⋷∃⊬156A=∃⊬1B92","layer":1},{"info":"∃⊬1B92≋⫹=∃⊬-3724","layer":0}]}
+{"id":908,"expression_no_base_symbol":"(⨑⩽⪐$3100$)≹⇙⪍($1943$⨰$6939$)","expression":"(⨑⩽⪐∃⊬C1C)≹⇙⪍(∃⊬797⨰∃⊬1B1B)","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":3100,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1943,"base":16},"right_expr":{"type":"numeric_atoms","value":6939,"base":16}}},"used_operators":["AHs5Up7iyr","AF7qkfDlqP","eewbuw0ToL"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3100","layer":2},{"info":"compute unary expreesion, input=3100, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2827","layer":1},{"info":"number node, value=1943","layer":2},{"info":"number node, value=6939","layer":2},{"info":"compute binary expreesion, left_input=1943, right_input=6939, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4986","layer":1},{"info":"compute binary expreesion, left_input=-2827, right_input=-4986, 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":16,"result_base":16,"text":"(⨑⩽⪐∃⊬C1C)≹⇙⪍(∃⊬797⨰∃⊬1B1B)=NaN","reverse_text":"NaN=(⨑⩽⪐∃⊬C1C)≹⇙⪍(∃⊬797⨰∃⊬1B1B)","cot":[{"info":"⨑⩽⪐∃⊬C1C=∃⊬-B0B","layer":1},{"info":"∃⊬797⨰∃⊬1B1B=∃⊬-137A","layer":1},{"info":"∃⊬-B0B≹⇙⪍∃⊬-137A=NaN","layer":0}]}
+{"id":909,"expression_no_base_symbol":"≤/$5571$↺$2093$","expression":"≤/∃⊬15C3↺∃⊬82D","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":5571,"base":16},"right_expr":{"type":"numeric_atoms","value":2093,"base":16}}},"used_operators":["eLAdDNolq6","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-649","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5571","layer":2},{"info":"number node, value=2093","layer":2},{"info":"compute binary expreesion, left_input=5571, right_input=2093, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2093","layer":1},{"info":"compute unary expreesion, input=2093, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1609","layer":0}],"base":16,"result_base":16,"text":"≤/∃⊬15C3↺∃⊬82D=∃⊬-649","reverse_text":"∃⊬-649=≤/∃⊬15C3↺∃⊬82D","cot":[{"info":"∃⊬15C3↺∃⊬82D=∃⊬82D","layer":1},{"info":"≤/∃⊬82D=∃⊬-649","layer":0}]}
+{"id":910,"expression_no_base_symbol":"($2326$⇼⇔∾$4702$)∼($3818$⨳⩥⨓$2840$)","expression":"(∃⊬916⇼⇔∾∃⊬125E)∼(∃⊬EEA⨳⩥⨓∃⊬B18)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3983,"operation_count":3,"complexity_ratio":1327.6666666666667,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2326,"base":16},"right_expr":{"type":"numeric_atoms","value":4702,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3818,"base":16},"right_expr":{"type":"numeric_atoms","value":2840,"base":16}}},"used_operators":["DyGG3AbaNP","tifHPKVTfV","nCS4ZIUYfx"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2326","layer":2},{"info":"number node, value=4702","layer":2},{"info":"compute binary expreesion, left_input=2326, right_input=4702, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2376","layer":1},{"info":"number node, value=3818","layer":2},{"info":"number node, value=2840","layer":2},{"info":"compute binary expreesion, left_input=3818, right_input=2840, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-978","layer":1},{"info":"compute binary expreesion, left_input=2376, right_input=-978, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬916⇼⇔∾∃⊬125E)∼(∃⊬EEA⨳⩥⨓∃⊬B18)=∃⊬0","reverse_text":"∃⊬0=(∃⊬916⇼⇔∾∃⊬125E)∼(∃⊬EEA⨳⩥⨓∃⊬B18)","cot":[{"info":"∃⊬916⇼⇔∾∃⊬125E=∃⊬948","layer":1},{"info":"∃⊬EEA⨳⩥⨓∃⊬B18=∃⊬-3D2","layer":1},{"info":"∃⊬948∼∃⊬-3D2=∃⊬0","layer":0}]}
+{"id":911,"expression_no_base_symbol":"($5679$≧⫂∧$4309$)⨪↰⇹$1317$↬$1160$","expression":"(∃⊬162F≧⫂∧∃⊬10D5)⨪↰⇹∃⊬525↬∃⊬488","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3838,"operation_count":3,"complexity_ratio":1279.3333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5679,"base":16},"right_expr":{"type":"numeric_atoms","value":4309,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1317,"base":16},"right_expr":{"type":"numeric_atoms","value":1160,"base":16}}},"used_operators":["tmPS8pqC7x","Ph9nP6C5qx","B5M0gjZbta"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"∃⊬EFC","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5679","layer":2},{"info":"number node, value=4309","layer":2},{"info":"compute binary expreesion, left_input=5679, right_input=4309, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3836","layer":1},{"info":"number node, value=1317","layer":2},{"info":"number node, value=1160","layer":2},{"info":"compute binary expreesion, left_input=1317, right_input=1160, 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=3836, 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=3836","layer":0}],"base":16,"result_base":16,"text":"(∃⊬162F≧⫂∧∃⊬10D5)⨪↰⇹∃⊬525↬∃⊬488=∃⊬EFC","reverse_text":"∃⊬EFC=(∃⊬162F≧⫂∧∃⊬10D5)⨪↰⇹∃⊬525↬∃⊬488","cot":[{"info":"∃⊬162F≧⫂∧∃⊬10D5=∃⊬EFC","layer":1},{"info":"∃⊬525↬∃⊬488=NaN","layer":1},{"info":"∃⊬EFC⨪↰⇹NaN=∃⊬EFC","layer":0}]}
+{"id":912,"expression_no_base_symbol":"(≤/$5318$)⨪↰⇹($1370$≎⊠⪸$1126$)","expression":"(≤/∃⊬14C6)⨪↰⇹(∃⊬55A≎⊠⪸∃⊬466)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5105,"operation_count":3,"complexity_ratio":1701.6666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5318,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1370,"base":16},"right_expr":{"type":"numeric_atoms","value":1126,"base":16}}},"used_operators":["tmPS8pqC7x","eLAdDNolq6","bJkvcejdHO"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬-12E2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5318","layer":2},{"info":"compute unary expreesion, input=5318, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4834","layer":1},{"info":"number node, value=1370","layer":2},{"info":"number node, value=1126","layer":2},{"info":"compute binary expreesion, left_input=1370, right_input=1126, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=354357","layer":1},{"info":"compute binary expreesion, left_input=-4834, right_input=354357, 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=-4834","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬14C6)⨪↰⇹(∃⊬55A≎⊠⪸∃⊬466)=∃⊬-12E2","reverse_text":"∃⊬-12E2=(≤/∃⊬14C6)⨪↰⇹(∃⊬55A≎⊠⪸∃⊬466)","cot":[{"info":"≤/∃⊬14C6=∃⊬-12E2","layer":1},{"info":"∃⊬55A≎⊠⪸∃⊬466=∃⊬56835","layer":1},{"info":"∃⊬-12E2⨪↰⇹∃⊬56835=∃⊬-12E2","layer":0}]}
+{"id":913,"expression_no_base_symbol":"$2169$≎⊠⪸$4395$⊭↱$6358$⨎$1380$","expression":"∃⊬879≎⊠⪸∃⊬112B⊭↱∃⊬18D6⨎∃⊬564","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":277,"operation_count":3,"complexity_ratio":92.33333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2169,"base":16},"right_expr":{"type":"numeric_atoms","value":4395,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6358,"base":16},"right_expr":{"type":"numeric_atoms","value":1380,"base":16}}},"used_operators":["COABgblf1C","bJkvcejdHO","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬-111657","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":2},{"info":"number node, value=4395","layer":2},{"info":"compute binary expreesion, left_input=2169, right_input=4395, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=561298","layer":1},{"info":"number node, value=6358","layer":2},{"info":"number node, value=1380","layer":2},{"info":"compute binary expreesion, left_input=6358, right_input=1380, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1380","layer":1},{"info":"compute binary expreesion, left_input=561298, right_input=1380, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1119831","layer":0}],"base":16,"result_base":16,"text":"∃⊬879≎⊠⪸∃⊬112B⊭↱∃⊬18D6⨎∃⊬564=∃⊬-111657","reverse_text":"∃⊬-111657=∃⊬879≎⊠⪸∃⊬112B⊭↱∃⊬18D6⨎∃⊬564","cot":[{"info":"∃⊬879≎⊠⪸∃⊬112B=∃⊬89092","layer":1},{"info":"∃⊬18D6⨎∃⊬564=∃⊬564","layer":1},{"info":"∃⊬89092⊭↱∃⊬564=∃⊬-111657","layer":0}]}
+{"id":914,"expression_no_base_symbol":"(↥$2205$)↙($3877$⇼⇔∾$1294$)","expression":"(↥∃⊬89D)↙(∃⊬F25⇼⇔∾∃⊬50E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2205,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3877,"base":16},"right_expr":{"type":"numeric_atoms","value":1294,"base":16}}},"used_operators":["yyfyN0ffXY","A8NUZmVepG","tifHPKVTfV"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2205","layer":2},{"info":"compute unary expreesion, input=2205, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=12","layer":1},{"info":"number node, value=3877","layer":2},{"info":"number node, value=1294","layer":2},{"info":"compute binary expreesion, left_input=3877, right_input=1294, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2583","layer":1},{"info":"compute binary expreesion, left_input=12, right_input=-2583, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=12","layer":0}],"base":16,"result_base":16,"text":"(↥∃⊬89D)↙(∃⊬F25⇼⇔∾∃⊬50E)=∃⊬C","reverse_text":"∃⊬C=(↥∃⊬89D)↙(∃⊬F25⇼⇔∾∃⊬50E)","cot":[{"info":"↥∃⊬89D=∃⊬C","layer":1},{"info":"∃⊬F25⇼⇔∾∃⊬50E=∃⊬-A17","layer":1},{"info":"∃⊬C↙∃⊬-A17=∃⊬C","layer":0}]}
+{"id":915,"expression_no_base_symbol":"$5734$⊴$2047$⊘","expression":"∃⊬1666⊴∃⊬7FF⊘","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7111,"operation_count":2,"complexity_ratio":3555.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5734,"base":16},"right_expr":{"type":"numeric_atoms","value":2047,"base":16}}},"used_operators":["gu96TGCTMs","Nsiff2A1zJ"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5734","layer":2},{"info":"number node, value=2047","layer":2},{"info":"compute binary expreesion, left_input=5734, right_input=2047, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":16,"result_base":16,"text":"∃⊬1666⊴∃⊬7FF⊘=NaN","reverse_text":"NaN=∃⊬1666⊴∃⊬7FF⊘","cot":[{"info":"∃⊬1666⊴∃⊬7FF=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
+{"id":916,"expression_no_base_symbol":"$3072$∼$5902$≧⫂∧($1030$⋥≓≎$2865$)","expression":"∃⊬C00∼∃⊬170E≧⫂∧(∃⊬406⋥≓≎∃⊬B31)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3072,"base":16},"right_expr":{"type":"numeric_atoms","value":5902,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1030,"base":16},"right_expr":{"type":"numeric_atoms","value":2865,"base":16}}},"used_operators":["Ph9nP6C5qx","DyGG3AbaNP","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬10A4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3072","layer":2},{"info":"number node, value=5902","layer":2},{"info":"compute binary expreesion, left_input=3072, right_input=5902, 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=1030","layer":2},{"info":"number node, value=2865","layer":2},{"info":"compute binary expreesion, left_input=1030, right_input=2865, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4733","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4733, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4260","layer":0}],"base":16,"result_base":16,"text":"∃⊬C00∼∃⊬170E≧⫂∧(∃⊬406⋥≓≎∃⊬B31)=∃⊬10A4","reverse_text":"∃⊬10A4=∃⊬C00∼∃⊬170E≧⫂∧(∃⊬406⋥≓≎∃⊬B31)","cot":[{"info":"∃⊬C00∼∃⊬170E=NaN","layer":1},{"info":"∃⊬406⋥≓≎∃⊬B31=∃⊬127D","layer":1},{"info":"NaN≧⫂∧∃⊬127D=∃⊬10A4","layer":0}]}
+{"id":917,"expression_no_base_symbol":"$1289$⨰$1974$⊭↱$1440$∀⇚≩$1008$","expression":"∃⊬509⨰∃⊬7B6⊭↱∃⊬5A0∀⇚≩∃⊬3F0","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10092,"operation_count":3,"complexity_ratio":3364.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1289,"base":16},"right_expr":{"type":"numeric_atoms","value":1974,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1440,"base":16},"right_expr":{"type":"numeric_atoms","value":1008,"base":16}}},"used_operators":["COABgblf1C","eewbuw0ToL","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1289","layer":2},{"info":"number node, value=1974","layer":2},{"info":"compute binary expreesion, left_input=1289, right_input=1974, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-675","layer":1},{"info":"number node, value=1440","layer":2},{"info":"number node, value=1008","layer":2},{"info":"compute binary expreesion, left_input=1440, right_input=1008, 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=-675, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬509⨰∃⊬7B6⊭↱∃⊬5A0∀⇚≩∃⊬3F0=NaN","reverse_text":"NaN=∃⊬509⨰∃⊬7B6⊭↱∃⊬5A0∀⇚≩∃⊬3F0","cot":[{"info":"∃⊬509⨰∃⊬7B6=∃⊬-2A3","layer":1},{"info":"∃⊬5A0∀⇚≩∃⊬3F0=NaN","layer":1},{"info":"∃⊬-2A3⊭↱NaN=NaN","layer":0}]}
+{"id":918,"expression_no_base_symbol":"↥($1215$↙$3721$)","expression":"↥(∃⊬4BF↙∃⊬E89)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3942,"operation_count":2,"complexity_ratio":1971.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1215,"base":16},"right_expr":{"type":"numeric_atoms","value":3721,"base":16}}},"used_operators":["A8NUZmVepG","yyfyN0ffXY"],"dependent_operators":["k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":2},{"info":"number node, value=3721","layer":2},{"info":"compute binary expreesion, left_input=1215, right_input=3721, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11163","layer":1},{"info":"compute unary expreesion, input=-11163, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":0}],"base":16,"result_base":16,"text":"↥(∃⊬4BF↙∃⊬E89)=∃⊬6","reverse_text":"∃⊬6=↥(∃⊬4BF↙∃⊬E89)","cot":[{"info":"∃⊬4BF↙∃⊬E89=∃⊬-2B9B","layer":1},{"info":"↥∃⊬-2B9B=∃⊬6","layer":0}]}
+{"id":919,"expression_no_base_symbol":"($3444$⋷$5645$)⪢($6938$⪘⫢$4819$)","expression":"(∃⊬D74⋷∃⊬160D)⪢(∃⊬1B1A⪘⫢∃⊬12D3)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13770,"operation_count":3,"complexity_ratio":4590.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3444,"base":16},"right_expr":{"type":"numeric_atoms","value":5645,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6938,"base":16},"right_expr":{"type":"numeric_atoms","value":4819,"base":16}}},"used_operators":["dWAJyo7jo9","23Mk6UjR3U","oacrs7FA3X"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3444","layer":2},{"info":"number node, value=5645","layer":2},{"info":"compute binary expreesion, left_input=3444, right_input=5645, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7846","layer":1},{"info":"number node, value=6938","layer":2},{"info":"number node, value=4819","layer":2},{"info":"compute binary expreesion, left_input=6938, right_input=4819, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13752","layer":1},{"info":"compute binary expreesion, left_input=7846, right_input=13752, 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":16,"result_base":16,"text":"(∃⊬D74⋷∃⊬160D)⪢(∃⊬1B1A⪘⫢∃⊬12D3)=NaN","reverse_text":"NaN=(∃⊬D74⋷∃⊬160D)⪢(∃⊬1B1A⪘⫢∃⊬12D3)","cot":[{"info":"∃⊬D74⋷∃⊬160D=∃⊬1EA6","layer":1},{"info":"∃⊬1B1A⪘⫢∃⊬12D3=∃⊬35B8","layer":1},{"info":"∃⊬1EA6⪢∃⊬35B8=NaN","layer":0}]}
+{"id":920,"expression_no_base_symbol":"($4626$+$3297$)⇼⇔∾($6150$⨸⪁$6038$)","expression":"(∃⊬1212+∃⊬CE1)⇼⇔∾(∃⊬1806⨸⪁∃⊬1796)","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":4626,"base":16},"right_expr":{"type":"numeric_atoms","value":3297,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6150,"base":16},"right_expr":{"type":"numeric_atoms","value":6038,"base":16}}},"used_operators":["tifHPKVTfV","W4YGzv6Whe","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬4045","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4626","layer":2},{"info":"number node, value=3297","layer":2},{"info":"compute binary expreesion, left_input=4626, right_input=3297, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7923","layer":1},{"info":"number node, value=6150","layer":2},{"info":"number node, value=6038","layer":2},{"info":"compute binary expreesion, left_input=6150, right_input=6038, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=24376","layer":1},{"info":"compute binary expreesion, left_input=7923, right_input=24376, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=16453","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1212+∃⊬CE1)⇼⇔∾(∃⊬1806⨸⪁∃⊬1796)=∃⊬4045","reverse_text":"∃⊬4045=(∃⊬1212+∃⊬CE1)⇼⇔∾(∃⊬1806⨸⪁∃⊬1796)","cot":[{"info":"∃⊬1212+∃⊬CE1=∃⊬1EF3","layer":1},{"info":"∃⊬1806⨸⪁∃⊬1796=∃⊬5F38","layer":1},{"info":"∃⊬1EF3⇼⇔∾∃⊬5F38=∃⊬4045","layer":0}]}
+{"id":921,"expression_no_base_symbol":"$1642$⨰$1106$⫌⩹⨱","expression":"∃⊬66A⨰∃⊬452⫌⩹⨱","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"��⩹⨱","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1642,"base":16},"right_expr":{"type":"numeric_atoms","value":1106,"base":16}}},"used_operators":["EBcxylXtPf","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬9BD","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1642","layer":2},{"info":"number node, value=1106","layer":2},{"info":"compute binary expreesion, left_input=1642, right_input=1106, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=546","layer":1},{"info":"compute unary expreesion, input=546, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=2493","layer":0}],"base":16,"result_base":16,"text":"∃⊬66A⨰∃⊬452⫌⩹⨱=∃⊬9BD","reverse_text":"∃⊬9BD=∃⊬66A⨰∃⊬452⫌⩹⨱","cot":[{"info":"∃⊬66A⨰∃⊬452=∃⊬222","layer":1},{"info":"∃⊬222⫌⩹⨱=∃⊬9BD","layer":0}]}
+{"id":922,"expression_no_base_symbol":"$1346$≹⇙⪍$3969$≧⫂∧($3832$↺$7450$)","expression":"∃⊬542≹⇙⪍∃⊬F81≧⫂∧(∃⊬EF8↺∃⊬1D1A)","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":1346,"base":16},"right_expr":{"type":"numeric_atoms","value":3969,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3832,"base":16},"right_expr":{"type":"numeric_atoms","value":7450,"base":16}}},"used_operators":["Ph9nP6C5qx","AHs5Up7iyr","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬1B41","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1346","layer":2},{"info":"number node, value=3969","layer":2},{"info":"compute binary expreesion, left_input=1346, right_input=3969, 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=3832","layer":2},{"info":"number node, value=7450","layer":2},{"info":"compute binary expreesion, left_input=3832, right_input=7450, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7450","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7450, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6977","layer":0}],"base":16,"result_base":16,"text":"∃⊬542≹⇙⪍∃⊬F81≧⫂∧(∃⊬EF8↺∃⊬1D1A)=∃⊬1B41","reverse_text":"∃⊬1B41=∃⊬542≹⇙⪍∃⊬F81≧⫂∧(∃⊬EF8↺∃⊬1D1A)","cot":[{"info":"∃⊬542≹⇙⪍∃⊬F81=NaN","layer":1},{"info":"∃⊬EF8↺∃⊬1D1A=∃⊬1D1A","layer":1},{"info":"NaN≧⫂∧∃⊬1D1A=∃⊬1B41","layer":0}]}
+{"id":923,"expression_no_base_symbol":"($1772$⨓$7087$)⩠","expression":"(∃⊬6EC⨓∃⊬1BAF)⩠","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7110,"operation_count":2,"complexity_ratio":3555.0,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1772,"base":16},"right_expr":{"type":"numeric_atoms","value":7087,"base":16}}},"used_operators":["sJAwomhLZr","3ViojmjbAp"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬6F99","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1772","layer":2},{"info":"number node, value=7087","layer":2},{"info":"compute binary expreesion, left_input=1772, right_input=7087, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7090","layer":1},{"info":"compute unary expreesion, input=-7090, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=28569","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6EC⨓∃⊬1BAF)⩠=∃⊬6F99","reverse_text":"∃⊬6F99=(∃⊬6EC⨓∃⊬1BAF)⩠","cot":[{"info":"∃⊬6EC⨓∃⊬1BAF=∃⊬-1BB2","layer":1},{"info":"∃⊬-1BB2⩠=∃⊬6F99","layer":0}]}
+{"id":924,"expression_no_base_symbol":"(↯⪼$1499$)⫸⊐($1007$*$4021$)","expression":"(↯⪼∃⊬5DB)⫸⊐(∃⊬3EF*∃⊬FB5)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1042,"operation_count":3,"complexity_ratio":347.3333333333333,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1499,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1007,"base":16},"right_expr":{"type":"numeric_atoms","value":4021,"base":16}}},"used_operators":["mqXw5SEYmG","8jW3W4yZS5","9HNa5Wba9A"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe"],"result":"∃⊬1CF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1499","layer":2},{"info":"compute unary expreesion, input=1499, 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=1007","layer":2},{"info":"number node, value=4021","layer":2},{"info":"compute binary expreesion, left_input=1007, right_input=4021, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4049147","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=4049147, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=463","layer":0}],"base":16,"result_base":16,"text":"(↯⪼∃⊬5DB)⫸⊐(∃⊬3EF*∃⊬FB5)=∃⊬1CF","reverse_text":"∃⊬1CF=(↯⪼∃⊬5DB)⫸⊐(∃⊬3EF*∃⊬FB5)","cot":[{"info":"↯⪼∃⊬5DB=∃⊬-15","layer":1},{"info":"∃⊬3EF*∃⊬FB5=∃⊬3DC8FB","layer":1},{"info":"∃⊬-15⫸⊐∃⊬3DC8FB=∃⊬1CF","layer":0}]}
+{"id":925,"expression_no_base_symbol":"($1203$⪄$7895$)⨐⩸⫘$1211$≭$6118$","expression":"(∃⊬4B3⪄∃⊬1ED7)⨐⩸⫘∃⊬4BB≭∃⊬17E6","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":97,"operation_count":3,"complexity_ratio":32.333333333333336,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1203,"base":16},"right_expr":{"type":"numeric_atoms","value":7895,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1211,"base":16},"right_expr":{"type":"numeric_atoms","value":6118,"base":16}}},"used_operators":["fu6greOZ01","SUmda5xLS4","rxpJgHHUmx"],"dependent_operators":["3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":2},{"info":"number node, value=7895","layer":2},{"info":"compute binary expreesion, left_input=1203, right_input=7895, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-205713","layer":1},{"info":"number node, value=1211","layer":2},{"info":"number node, value=6118","layer":2},{"info":"compute binary expreesion, left_input=1211, right_input=6118, 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=-205713, 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":16,"result_base":16,"text":"(∃⊬4B3⪄∃⊬1ED7)⨐⩸⫘∃⊬4BB≭∃⊬17E6=NaN","reverse_text":"NaN=(∃⊬4B3⪄∃⊬1ED7)⨐⩸⫘∃⊬4BB≭∃⊬17E6","cot":[{"info":"∃⊬4B3⪄∃⊬1ED7=∃⊬-32391","layer":1},{"info":"∃⊬4BB≭∃⊬17E6=NaN","layer":1},{"info":"∃⊬-32391⨐⩸⫘NaN=NaN","layer":0}]}
+{"id":926,"expression_no_base_symbol":"($1076$⇋≉)⩚⊴⇥($3746$⊦⊿)","expression":"(∃⊬434⇋≉)⩚⊴⇥(∃⊬EA2⊦⊿)","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":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1076,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3746,"base":16}}},"used_operators":["NTOWxs364D","XIabStNQrY","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬23B6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":2},{"info":"compute unary expreesion, input=1076, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2054","layer":1},{"info":"number node, value=3746","layer":2},{"info":"compute unary expreesion, input=3746, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11317","layer":1},{"info":"compute binary expreesion, left_input=2054, right_input=-11317, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=9142","layer":0}],"base":16,"result_base":16,"text":"(∃⊬434⇋≉)⩚⊴⇥(∃⊬EA2⊦⊿)=∃⊬23B6","reverse_text":"∃⊬23B6=(∃⊬434⇋≉)⩚⊴⇥(∃⊬EA2⊦⊿)","cot":[{"info":"∃⊬434⇋≉=∃⊬806","layer":1},{"info":"∃⊬EA2⊦⊿=∃⊬-2C35","layer":1},{"info":"∃⊬806⩚⊴⇥∃⊬-2C35=∃⊬23B6","layer":0}]}
+{"id":927,"expression_no_base_symbol":"($6999$⋷$1101$)≫≃","expression":"(∃⊬1B57⋷∃⊬44D)≫≃","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":6999,"base":16},"right_expr":{"type":"numeric_atoms","value":1101,"base":16}}},"used_operators":["X99M06cbEe","23Mk6UjR3U"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-2001","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6999","layer":2},{"info":"number node, value=1101","layer":2},{"info":"compute binary expreesion, left_input=6999, right_input=1101, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4797","layer":1},{"info":"compute unary expreesion, input=-4797, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-8193","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1B57⋷∃⊬44D)≫≃=∃⊬-2001","reverse_text":"∃⊬-2001=(∃⊬1B57⋷∃⊬44D)≫≃","cot":[{"info":"∃⊬1B57⋷∃⊬44D=∃⊬-12BD","layer":1},{"info":"∃⊬-12BD≫≃=∃⊬-2001","layer":0}]}
+{"id":928,"expression_no_base_symbol":"($7735$⋫)⨸⪁$1113$⇷$1296$","expression":"(∃⊬1E37⋫)⨸⪁∃⊬459⇷∃⊬510","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23326,"operation_count":3,"complexity_ratio":7775.333333333333,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7735,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1113,"base":16},"right_expr":{"type":"numeric_atoms","value":1296,"base":16}}},"used_operators":["g55IO6H4Gj","JL8yIekQnl","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬50AE","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7735","layer":2},{"info":"compute unary expreesion, input=7735, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7735","layer":1},{"info":"number node, value=1113","layer":2},{"info":"number node, value=1296","layer":2},{"info":"compute binary expreesion, left_input=1113, right_input=1296, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2592","layer":1},{"info":"compute binary expreesion, left_input=7735, right_input=2592, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20654","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1E37⋫)⨸⪁∃⊬459⇷∃⊬510=∃⊬50AE","reverse_text":"∃⊬50AE=(∃⊬1E37⋫)⨸⪁∃⊬459⇷∃⊬510","cot":[{"info":"∃⊬1E37⋫=∃⊬1E37","layer":1},{"info":"∃⊬459⇷∃⊬510=∃⊬A20","layer":1},{"info":"∃⊬1E37⨸⪁∃⊬A20=∃⊬50AE","layer":0}]}
+{"id":929,"expression_no_base_symbol":"$5585$≧⫂∧$4874$⋓(⨰⫟⨤$6926$)","expression":"∃⊬15D1≧⫂∧∃⊬130A⋓(⨰⫟⨤∃⊬1B0E)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26878,"operation_count":3,"complexity_ratio":8959.333333333334,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5585,"base":16},"right_expr":{"type":"numeric_atoms","value":4874,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6926,"base":16}}},"used_operators":["T2fj7uvVaJ","Ph9nP6C5qx","Tw270M8GLb"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5585","layer":2},{"info":"number node, value=4874","layer":2},{"info":"compute binary expreesion, left_input=5585, right_input=4874, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4401","layer":1},{"info":"number node, value=6926","layer":2},{"info":"compute unary expreesion, input=6926, 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=4401, 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":16,"result_base":16,"text":"∃⊬15D1≧⫂∧∃⊬130A⋓(⨰⫟⨤∃⊬1B0E)=NaN","reverse_text":"NaN=∃⊬15D1≧⫂∧∃⊬130A⋓(⨰⫟⨤∃⊬1B0E)","cot":[{"info":"∃⊬15D1≧⫂∧∃⊬130A=∃⊬1131","layer":1},{"info":"⨰⫟⨤∃⊬1B0E=NaN","layer":1},{"info":"∃⊬1131⋓NaN=NaN","layer":0}]}
+{"id":930,"expression_no_base_symbol":"(⨑⩽⪐$2059$)≎⊠⪸($1871$⊦⊿)","expression":"(⨑⩽⪐∃⊬80B)≎⊠⪸(∃⊬74F⊦⊿)","highest_n_order":2,"priority_hierarchical_complexity":2,"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":2059,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1871,"base":16}}},"used_operators":["bJkvcejdHO","AF7qkfDlqP","14qkJME0vr"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2059","layer":2},{"info":"compute unary expreesion, input=2059, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1786","layer":1},{"info":"number node, value=1871","layer":2},{"info":"compute unary expreesion, input=1871, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5692","layer":1},{"info":"compute binary expreesion, left_input=-1786, right_input=-5692, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐∃⊬80B)≎⊠⪸(∃⊬74F⊦⊿)=∃⊬43","reverse_text":"∃⊬43=(⨑⩽⪐∃⊬80B)≎⊠⪸(∃⊬74F⊦⊿)","cot":[{"info":"⨑⩽⪐∃⊬80B=∃⊬-6FA","layer":1},{"info":"∃⊬74F⊦⊿=∃⊬-163C","layer":1},{"info":"∃⊬-6FA≎⊠⪸∃⊬-163C=∃⊬43","layer":0}]}
+{"id":931,"expression_no_base_symbol":"$1126$⨐⩸⫘$1040$+$1059$⇷$6758$","expression":"∃⊬466⨐⩸⫘∃⊬410+∃⊬423⇷∃⊬1A66","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14834,"operation_count":3,"complexity_ratio":4944.666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1126,"base":16},"right_expr":{"type":"numeric_atoms","value":1040,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1059,"base":16},"right_expr":{"type":"numeric_atoms","value":6758,"base":16}}},"used_operators":["W4YGzv6Whe","fu6greOZ01","mp7IySMOzn"],"dependent_operators":["3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1126","layer":2},{"info":"number node, value=1040","layer":2},{"info":"compute binary expreesion, left_input=1126, right_input=1040, 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=1059","layer":2},{"info":"number node, value=6758","layer":2},{"info":"compute binary expreesion, left_input=1059, right_input=6758, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13516","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13516, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬466⨐⩸⫘∃⊬410+∃⊬423⇷∃⊬1A66=NaN","reverse_text":"NaN=∃⊬466⨐⩸⫘∃⊬410+∃⊬423⇷∃⊬1A66","cot":[{"info":"∃⊬466⨐⩸⫘∃⊬410=NaN","layer":1},{"info":"∃⊬423⇷∃⊬1A66=∃⊬34CC","layer":1},{"info":"NaN+∃⊬34CC=NaN","layer":0}]}
+{"id":932,"expression_no_base_symbol":"⨑⩽⪐($1072$⨸⪁$3062$)","expression":"⨑⩽⪐(∃⊬430⨸⪁∃⊬BF6)","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":1072,"base":16},"right_expr":{"type":"numeric_atoms","value":3062,"base":16}}},"used_operators":["AF7qkfDlqP","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe"],"result":"∃⊬-1F3B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":2},{"info":"number node, value=3062","layer":2},{"info":"compute binary expreesion, left_input=1072, right_input=3062, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8268","layer":1},{"info":"compute unary expreesion, input=8268, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7995","layer":0}],"base":16,"result_base":16,"text":"⨑⩽⪐(∃⊬430⨸⪁∃⊬BF6)=∃⊬-1F3B","reverse_text":"∃⊬-1F3B=⨑⩽⪐(∃⊬430⨸⪁∃⊬BF6)","cot":[{"info":"∃⊬430⨸⪁∃⊬BF6=∃⊬204C","layer":1},{"info":"⨑⩽⪐∃⊬204C=∃⊬-1F3B","layer":0}]}
+{"id":933,"expression_no_base_symbol":"$2161$⊴$2249$⋥≓≎($1826$↺$1006$)","expression":"∃⊬871⊴∃⊬8C9⋥≓≎(∃⊬722↺∃⊬3EE)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2259,"operation_count":3,"complexity_ratio":753.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2161,"base":16},"right_expr":{"type":"numeric_atoms","value":2249,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1826,"base":16},"right_expr":{"type":"numeric_atoms","value":1006,"base":16}}},"used_operators":["Qy55tPpLXF","Nsiff2A1zJ","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2161","layer":2},{"info":"number node, value=2249","layer":2},{"info":"compute binary expreesion, left_input=2161, right_input=2249, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1826","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=1826, right_input=1006, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1006","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1006, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"∃⊬871⊴∃⊬8C9⋥≓≎(∃⊬722↺∃⊬3EE)=∃⊬43","reverse_text":"∃⊬43=∃⊬871⊴∃⊬8C9⋥≓≎(∃⊬722↺∃⊬3EE)","cot":[{"info":"∃⊬871⊴∃⊬8C9=NaN","layer":1},{"info":"∃⊬722↺∃⊬3EE=∃⊬3EE","layer":1},{"info":"NaN⋥≓≎∃⊬3EE=∃⊬43","layer":0}]}
+{"id":934,"expression_no_base_symbol":"($3087$%$4330$)∼($1915$⇼⇔∾$1301$)","expression":"(∃⊬C0F%∃⊬10EA)∼(∃⊬77B⇼⇔∾∃⊬515)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2539,"operation_count":3,"complexity_ratio":846.3333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3087,"base":16},"right_expr":{"type":"numeric_atoms","value":4330,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1915,"base":16},"right_expr":{"type":"numeric_atoms","value":1301,"base":16}}},"used_operators":["DyGG3AbaNP","k8jYdgA6NY","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3087","layer":2},{"info":"number node, value=4330","layer":2},{"info":"compute binary expreesion, left_input=3087, right_input=4330, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3087","layer":1},{"info":"number node, value=1915","layer":2},{"info":"number node, value=1301","layer":2},{"info":"compute binary expreesion, left_input=1915, right_input=1301, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-614","layer":1},{"info":"compute binary expreesion, left_input=3087, right_input=-614, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C0F%∃⊬10EA)∼(∃⊬77B⇼⇔∾∃⊬515)=∃⊬0","reverse_text":"∃⊬0=(∃⊬C0F%∃⊬10EA)∼(∃⊬77B⇼⇔∾∃⊬515)","cot":[{"info":"∃⊬C0F%∃⊬10EA=∃⊬C0F","layer":1},{"info":"∃⊬77B⇼⇔∾∃⊬515=∃⊬-266","layer":1},{"info":"∃⊬C0F∼��⊬-266=∃⊬0","layer":0}]}
+{"id":935,"expression_no_base_symbol":"$4006$≭$1009$↪⪝","expression":"∃⊬FA6≭∃⊬3F1↪⪝","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4006,"base":16},"right_expr":{"type":"numeric_atoms","value":1009,"base":16}}},"used_operators":["l07mrZUIn9","rxpJgHHUmx"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4006","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=4006, right_input=1009, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬FA6≭∃⊬3F1↪⪝=NaN","reverse_text":"NaN=∃⊬FA6≭∃⊬3F1↪⪝","cot":[{"info":"∃⊬FA6≭∃⊬3F1=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
+{"id":936,"expression_no_base_symbol":"⩦⩻⨪($1453$⫸⊐$6744$)","expression":"⩦⩻⨪(∃⊬5AD⫸⊐∃⊬1A58)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1453,"base":16},"right_expr":{"type":"numeric_atoms","value":6744,"base":16}}},"used_operators":["2td37pGCOC","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬68E3","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1453","layer":2},{"info":"number node, value=6744","layer":2},{"info":"compute binary expreesion, left_input=1453, right_input=6744, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=26851","layer":1},{"info":"compute unary expreesion, input=26851, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=26851","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪(∃⊬5AD⫸⊐∃⊬1A58)=∃⊬68E3","reverse_text":"∃⊬68E3=⩦⩻⨪(∃⊬5AD⫸⊐∃⊬1A58)","cot":[{"info":"∃⊬5AD⫸⊐∃⊬1A58=∃⊬68E3","layer":1},{"info":"⩦⩻⨪∃⊬68E3=∃⊬68E3","layer":0}]}
+{"id":937,"expression_no_base_symbol":"$1194$⪛$2181$/$4208$↺$1023$","expression":"∃⊬4AA⪛∃⊬885/∃⊬1070↺∃⊬3FF","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":1194,"base":16},"right_expr":{"type":"numeric_atoms","value":2181,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4208,"base":16},"right_expr":{"type":"numeric_atoms","value":1023,"base":16}}},"used_operators":["XhwjNDsVaA","uFcxV4UQCh","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬1","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1194","layer":2},{"info":"number node, value=2181","layer":2},{"info":"compute binary expreesion, left_input=1194, right_input=2181, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1194","layer":1},{"info":"number node, value=4208","layer":2},{"info":"number node, value=1023","layer":2},{"info":"compute binary expreesion, left_input=4208, right_input=1023, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1023","layer":1},{"info":"compute binary expreesion, left_input=1194, right_input=1023, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":0}],"base":16,"result_base":16,"text":"∃⊬4AA⪛∃⊬885/∃⊬1070↺∃⊬3FF=∃⊬1","reverse_text":"∃⊬1=∃⊬4AA⪛∃⊬885/∃⊬1070↺∃⊬3FF","cot":[{"info":"∃⊬4AA⪛∃⊬885=∃⊬4AA","layer":1},{"info":"∃⊬1070↺∃⊬3FF=∃⊬3FF","layer":1},{"info":"∃⊬4AA/∃⊬3FF=∃⊬1","layer":0}]}
+{"id":938,"expression_no_base_symbol":"($1080$⫡⨏$1564$)∀⇚≩($2234$↺$1466$)","expression":"(∃⊬438⫡⨏∃⊬61C)∀⇚≩(∃⊬8BA↺∃⊬5BA)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65186,"operation_count":3,"complexity_ratio":21728.666666666668,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1080,"base":16},"right_expr":{"type":"numeric_atoms","value":1564,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2234,"base":16},"right_expr":{"type":"numeric_atoms","value":1466,"base":16}}},"used_operators":["LRNGc0VcxI","QMFrweE19q","7j4O788W3g"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":2},{"info":"number node, value=1564","layer":2},{"info":"compute binary expreesion, left_input=1080, right_input=1564, 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=9311","layer":1},{"info":"number node, value=2234","layer":2},{"info":"number node, value=1466","layer":2},{"info":"compute binary expreesion, left_input=2234, right_input=1466, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1466","layer":1},{"info":"compute binary expreesion, left_input=9311, right_input=1466, 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":16,"result_base":16,"text":"(∃⊬438⫡⨏∃⊬61C)∀⇚≩(∃⊬8BA↺∃⊬5BA)=NaN","reverse_text":"NaN=(∃⊬438⫡⨏∃⊬61C)∀⇚≩(∃⊬8BA↺∃⊬5BA)","cot":[{"info":"∃⊬438⫡⨏∃⊬61C=∃⊬245F","layer":1},{"info":"∃⊬8BA↺∃⊬5BA=∃⊬5BA","layer":1},{"info":"∃⊬245F∀⇚≩∃⊬5BA=NaN","layer":0}]}
+{"id":939,"expression_no_base_symbol":"$1783$⨸⪁$4209$+$2397$↙$5393$","expression":"∃⊬6F7⨸⪁∃⊬1071+∃⊬95D↙∃⊬1511","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5400,"operation_count":3,"complexity_ratio":1800.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1783,"base":16},"right_expr":{"type":"numeric_atoms","value":4209,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2397,"base":16},"right_expr":{"type":"numeric_atoms","value":5393,"base":16}}},"used_operators":["W4YGzv6Whe","g55IO6H4Gj","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬-1063","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1783","layer":2},{"info":"number node, value=4209","layer":2},{"info":"compute binary expreesion, left_input=1783, right_input=4209, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11984","layer":1},{"info":"number node, value=2397","layer":2},{"info":"number node, value=5393","layer":2},{"info":"compute binary expreesion, left_input=2397, right_input=5393, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16179","layer":1},{"info":"compute binary expreesion, left_input=11984, right_input=-16179, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4195","layer":0}],"base":16,"result_base":16,"text":"∃⊬6F7⨸⪁∃⊬1071+∃⊬95D↙∃⊬1511=∃⊬-1063","reverse_text":"∃⊬-1063=∃⊬6F7⨸⪁∃⊬1071+∃⊬95D↙∃⊬1511","cot":[{"info":"∃⊬6F7⨸⪁∃⊬1071=∃⊬2ED0","layer":1},{"info":"∃⊬95D↙∃⊬1511=∃⊬-3F33","layer":1},{"info":"∃⊬2ED0+∃⊬-3F33=∃⊬-1063","layer":0}]}
+{"id":940,"expression_no_base_symbol":"($6695$/$8298$)⇼⇔∾$1128$⫸⊐$2711$","expression":"(∃⊬1A27/∃⊬206A)⇼⇔∾∃⊬468⫸⊐∃⊬A97","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":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6695,"base":16},"right_expr":{"type":"numeric_atoms","value":8298,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1128,"base":16},"right_expr":{"type":"numeric_atoms","value":2711,"base":16}}},"used_operators":["tifHPKVTfV","XhwjNDsVaA","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬29DF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6695","layer":2},{"info":"number node, value=8298","layer":2},{"info":"compute binary expreesion, left_input=6695, right_input=8298, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1128","layer":2},{"info":"number node, value=2711","layer":2},{"info":"compute binary expreesion, left_input=1128, right_input=2711, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10719","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=10719, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=10719","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1A27/∃⊬206A)⇼⇔∾∃⊬468⫸⊐∃⊬A97=∃⊬29DF","reverse_text":"∃⊬29DF=(∃⊬1A27/∃⊬206A)⇼⇔∾∃⊬468⫸⊐∃⊬A97","cot":[{"info":"∃⊬1A27/∃⊬206A=∃⊬0","layer":1},{"info":"∃⊬468⫸⊐∃⊬A97=∃⊬29DF","layer":1},{"info":"∃⊬0⇼⇔∾∃⊬29DF=∃⊬29DF","layer":0}]}
+{"id":941,"expression_no_base_symbol":"(↩$6673$)⪘⫢($2568$⪠⩆⊳)","expression":"(↩∃⊬1A11)⪘⫢(∃⊬A08⪠⩆⊳)","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":6673,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2568,"base":16}}},"used_operators":["oacrs7FA3X","jLgFTUHLKL","JLbD19bQDL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6673","layer":2},{"info":"compute unary expreesion, input=6673, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-50604","layer":1},{"info":"number node, value=2568","layer":2},{"info":"compute unary expreesion, input=2568, 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=-50604, 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=-1","layer":0}],"base":16,"result_base":16,"text":"(↩∃⊬1A11)⪘⫢(∃⊬A08⪠⩆⊳)=∃⊬-1","reverse_text":"∃⊬-1=(↩∃⊬1A11)⪘⫢(∃⊬A08⪠⩆⊳)","cot":[{"info":"↩∃⊬1A11=∃⊬-C5AC","layer":1},{"info":"∃⊬A08⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬-C5AC⪘⫢∃⊬0=∃⊬-1","layer":0}]}
+{"id":942,"expression_no_base_symbol":"($3115$⫸⊐$1792$)↺($1713$⪨≂$1303$)","expression":"(∃⊬C2B⫸⊐∃⊬700)↺(∃⊬6B1⪨≂∃⊬517)","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":3115,"base":16},"right_expr":{"type":"numeric_atoms","value":1792,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1713,"base":16},"right_expr":{"type":"numeric_atoms","value":1303,"base":16}}},"used_operators":["7j4O788W3g","mqXw5SEYmG","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬39A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3115","layer":2},{"info":"number node, value=1792","layer":2},{"info":"compute binary expreesion, left_input=3115, right_input=1792, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7043","layer":1},{"info":"number node, value=1713","layer":2},{"info":"number node, value=1303","layer":2},{"info":"compute binary expreesion, left_input=1713, right_input=1303, 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=922","layer":1},{"info":"compute binary expreesion, left_input=7043, right_input=922, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=922","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C2B⫸⊐∃⊬700)↺(∃⊬6B1⪨≂∃⊬517)=∃⊬39A","reverse_text":"∃⊬39A=(∃⊬C2B⫸⊐∃⊬700)↺(∃⊬6B1⪨≂∃⊬517)","cot":[{"info":"∃⊬C2B⫸⊐∃⊬700=∃⊬1B83","layer":1},{"info":"∃⊬6B1⪨��∃⊬517=∃⊬39A","layer":1},{"info":"∃⊬1B83↺∃⊬39A=∃⊬39A","layer":0}]}
+{"id":943,"expression_no_base_symbol":"$7326$⋳⪒$1772$⪨≂$1139$⨟⋌⩍$4376$","expression":"∃⊬1C9E⋳⪒∃⊬6EC⪨≂∃⊬473⨟⋌⩍∃⊬1118","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":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7326,"base":16},"right_expr":{"type":"numeric_atoms","value":1772,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1139,"base":16},"right_expr":{"type":"numeric_atoms","value":4376,"base":16}}},"used_operators":["sdazOOVcIp","12rbrZMWeM","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7326","layer":2},{"info":"number node, value=1772","layer":2},{"info":"compute binary expreesion, left_input=7326, right_input=1772, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12593","layer":1},{"info":"number node, value=1139","layer":2},{"info":"number node, value=4376","layer":2},{"info":"compute binary expreesion, left_input=1139, right_input=4376, 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=12593, 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":16,"result_base":16,"text":"∃⊬1C9E⋳⪒∃⊬6EC⪨≂∃⊬473⨟⋌⩍∃⊬1118=NaN","reverse_text":"NaN=∃⊬1C9E⋳⪒∃⊬6EC⪨≂∃⊬473⨟⋌⩍∃⊬1118","cot":[{"info":"∃⊬1C9E⋳⪒∃⊬6EC=∃⊬3131","layer":1},{"info":"∃⊬473⨟⋌⩍∃⊬1118=NaN","layer":1},{"info":"∃⊬3131⪨≂NaN=NaN","layer":0}]}
+{"id":944,"expression_no_base_symbol":"($4424$⇷$6426$)↬($1801$≎⊠⪸$2058$)","expression":"(∃⊬1148⇷∃⊬191A)↬(∃⊬709≎⊠⪸∃⊬80A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":62213,"operation_count":3,"complexity_ratio":20737.666666666668,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4424,"base":16},"right_expr":{"type":"numeric_atoms","value":6426,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1801,"base":16},"right_expr":{"type":"numeric_atoms","value":2058,"base":16}}},"used_operators":["B5M0gjZbta","mp7IySMOzn","bJkvcejdHO"],"dependent_operators":["rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4424","layer":2},{"info":"number node, value=6426","layer":2},{"info":"compute binary expreesion, left_input=4424, right_input=6426, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12852","layer":1},{"info":"number node, value=1801","layer":2},{"info":"number node, value=2058","layer":2},{"info":"compute binary expreesion, left_input=1801, right_input=2058, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=465986","layer":1},{"info":"compute binary expreesion, left_input=12852, right_input=465986, 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":16,"result_base":16,"text":"(∃⊬1148⇷∃⊬191A)↬(∃⊬709≎⊠⪸∃⊬80A)=NaN","reverse_text":"NaN=(∃⊬1148⇷∃⊬191A)↬(∃⊬709≎⊠⪸∃⊬80A)","cot":[{"info":"∃⊬1148⇷∃⊬191A=∃⊬3234","layer":1},{"info":"∃⊬709≎⊠⪸∃⊬80A=∃⊬71C42","layer":1},{"info":"∃⊬3234↬∃⊬71C42=NaN","layer":0}]}
+{"id":945,"expression_no_base_symbol":"⊥($6479$⇷$6764$)","expression":"⊥(∃⊬194F⇷∃⊬1A6C)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":90713,"operation_count":2,"complexity_ratio":45356.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6479,"base":16},"right_expr":{"type":"numeric_atoms","value":6764,"base":16}}},"used_operators":["Q3PJZHRvZv","mp7IySMOzn"],"dependent_operators":["fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6479","layer":2},{"info":"number node, value=6764","layer":2},{"info":"compute binary expreesion, left_input=6479, right_input=6764, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13528","layer":1},{"info":"compute unary expreesion, input=13528, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬194F⇷∃⊬1A6C)=NaN","reverse_text":"NaN=⊥(∃⊬194F⇷∃⊬1A6C)","cot":[{"info":"∃⊬194F⇷∃⊬1A6C=∃⊬34D8","layer":1},{"info":"⊥∃⊬34D8=NaN","layer":0}]}
+{"id":946,"expression_no_base_symbol":"($1569$⨳⩥⨓$6764$)≭($2065$⫡⨏$2370$)","expression":"(∃⊬621⨳⩥⨓∃⊬1A6C)≭(∃⊬811⫡⨏∃⊬942)","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":1569,"base":16},"right_expr":{"type":"numeric_atoms","value":6764,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2065,"base":16},"right_expr":{"type":"numeric_atoms","value":2370,"base":16}}},"used_operators":["rxpJgHHUmx","nCS4ZIUYfx","QMFrweE19q"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1569","layer":2},{"info":"number node, value=6764","layer":2},{"info":"compute binary expreesion, left_input=1569, right_input=6764, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5195","layer":1},{"info":"number node, value=2065","layer":2},{"info":"number node, value=2370","layer":2},{"info":"compute binary expreesion, left_input=2065, right_input=2370, 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=15848","layer":1},{"info":"compute binary expreesion, left_input=5195, right_input=15848, 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":16,"result_base":16,"text":"(∃⊬621⨳⩥⨓∃⊬1A6C)≭(∃⊬811⫡⨏∃⊬942)=NaN","reverse_text":"NaN=(∃⊬621⨳⩥⨓∃⊬1A6C)≭(∃⊬811⫡⨏∃⊬942)","cot":[{"info":"∃⊬621⨳⩥⨓∃⊬1A6C=∃⊬144B","layer":1},{"info":"∃⊬811⫡⨏∃⊬942=∃⊬3DE8","layer":1},{"info":"∃⊬144B≭∃⊬3DE8=NaN","layer":0}]}
+{"id":947,"expression_no_base_symbol":"$1555$≭$1814$⩚⊴⇥$1091$⇷$3879$","expression":"∃⊬613≭∃⊬716⩚⊴⇥∃⊬443⇷∃⊬F27","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15284,"operation_count":3,"complexity_ratio":5094.666666666667,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1555,"base":16},"right_expr":{"type":"numeric_atoms","value":1814,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1091,"base":16},"right_expr":{"type":"numeric_atoms","value":3879,"base":16}}},"used_operators":["NTOWxs364D","rxpJgHHUmx","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":2},{"info":"number node, value=1814","layer":2},{"info":"compute binary expreesion, left_input=1555, right_input=1814, 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=1091","layer":2},{"info":"number node, value=3879","layer":2},{"info":"compute binary expreesion, left_input=1091, right_input=3879, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7758","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7758, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬613≭∃⊬716⩚⊴⇥∃⊬443⇷∃⊬F27=NaN","reverse_text":"NaN=∃⊬613≭∃⊬716⩚⊴⇥∃⊬443⇷∃⊬F27","cot":[{"info":"∃⊬613≭∃⊬716=NaN","layer":1},{"info":"∃⊬443⇷∃⊬F27=∃⊬1E4E","layer":1},{"info":"NaN⩚⊴⇥∃⊬1E4E=NaN","layer":0}]}
+{"id":948,"expression_no_base_symbol":"(+⊝⨔$2846$)⋥≓≎($4993$⨳⩥⨓$1985$)","expression":"(+⊝⨔∃⊬B1E)⋥≓≎(∃⊬1381⨳⩥⨓���⊬7C1)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2846,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4993,"base":16},"right_expr":{"type":"numeric_atoms","value":1985,"base":16}}},"used_operators":["Qy55tPpLXF","DhbWaqg5eL","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬-1D51","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2846","layer":2},{"info":"compute unary expreesion, input=2846, 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=4993","layer":2},{"info":"number node, value=1985","layer":2},{"info":"compute binary expreesion, left_input=4993, right_input=1985, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3008","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-3008, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-7505","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔∃⊬B1E)⋥≓≎(∃⊬1381⨳⩥⨓∃⊬7C1)=∃⊬-1D51","reverse_text":"∃⊬-1D51=(+⊝⨔∃⊬B1E)⋥≓≎(∃⊬1381⨳⩥⨓∃⊬7C1)","cot":[{"info":"+⊝⨔∃⊬B1E=∃⊬5F2","layer":1},{"info":"∃⊬1381⨳⩥⨓∃⊬7C1=∃⊬-BC0","layer":1},{"info":"∃⊬5F2⋥≓≎∃⊬-BC0=∃⊬-1D51","layer":0}]}
+{"id":949,"expression_no_base_symbol":"(⩦⩻⨪$5971$)⋝⋈⪟(⫛⫱⨽$2514$)","expression":"(⩦⩻⨪∃⊬1753)⋝⋈⪟(⫛⫱⨽∃⊬9D2)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1428,"operation_count":3,"complexity_ratio":476.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5971,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2514,"base":16}}},"used_operators":["2DDjHMKMc0","2td37pGCOC","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"∃⊬1753","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5971","layer":2},{"info":"compute unary expreesion, input=5971, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5971","layer":1},{"info":"number node, value=2514","layer":2},{"info":"compute unary expreesion, input=2514, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=5971, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5971","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪∃⊬1753)⋝⋈⪟(⫛⫱⨽∃⊬9D2)=∃⊬1753","reverse_text":"∃⊬1753=(⩦⩻⨪∃⊬1753)⋝⋈⪟(⫛⫱⨽∃⊬9D2)","cot":[{"info":"⩦⩻⨪∃⊬1753=∃⊬1753","layer":1},{"info":"⫛⫱⨽∃⊬9D2=∃⊬0","layer":1},{"info":"∃⊬1753⋝⋈⪟∃⊬0=∃⊬1753","layer":0}]}
+{"id":950,"expression_no_base_symbol":"($5549$⋓$4050$)⨪↰⇹$5345$⇷$1021$","expression":"(∃⊬15AD⋓∃⊬FD2)⨪↰⇹∃⊬14E1⇷∃⊬3FD","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":74850,"operation_count":3,"complexity_ratio":24950.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5549,"base":16},"right_expr":{"type":"numeric_atoms","value":4050,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5345,"base":16},"right_expr":{"type":"numeric_atoms","value":1021,"base":16}}},"used_operators":["tmPS8pqC7x","T2fj7uvVaJ","mp7IySMOzn"],"dependent_operators":["rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5549","layer":2},{"info":"number node, value=4050","layer":2},{"info":"compute binary expreesion, left_input=5549, right_input=4050, 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=5345","layer":2},{"info":"number node, value=1021","layer":2},{"info":"compute binary expreesion, left_input=5345, right_input=1021, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2042","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2042, 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":16,"result_base":16,"text":"(∃⊬15AD⋓∃⊬FD2)⨪↰⇹∃⊬14E1⇷∃⊬3FD=∃⊬0","reverse_text":"∃⊬0=(∃⊬15AD⋓∃⊬FD2)⨪↰⇹∃⊬14E1⇷∃⊬3FD","cot":[{"info":"∃⊬15AD⋓∃⊬FD2=∃⊬0","layer":1},{"info":"∃⊬14E1⇷∃⊬3FD=∃⊬7FA","layer":1},{"info":"∃⊬0⨪↰⇹∃⊬7FA=∃⊬0","layer":0}]}
+{"id":951,"expression_no_base_symbol":"$1663$⋓$1551$⨳⩥⨓$3823$∑⇟⊟$3162$","expression":"∃⊬67F⋓∃⊬60F⨳⩥⨓∃⊬EEF∑⇟⊟∃⊬C5A","highest_n_order":4,"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":1663,"base":16},"right_expr":{"type":"numeric_atoms","value":1551,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3823,"base":16},"right_expr":{"type":"numeric_atoms","value":3162,"base":16}}},"used_operators":["nCS4ZIUYfx","T2fj7uvVaJ","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1663","layer":2},{"info":"number node, value=1551","layer":2},{"info":"compute binary expreesion, left_input=1663, right_input=1551, 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=3823","layer":2},{"info":"number node, value=3162","layer":2},{"info":"compute binary expreesion, left_input=3823, right_input=3162, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬67F⋓∃⊬60F⨳⩥⨓∃⊬EEF∑⇟⊟∃⊬C5A=NaN","reverse_text":"NaN=∃⊬67F⋓∃⊬60F⨳⩥⨓∃⊬EEF∑⇟⊟∃⊬C5A","cot":[{"info":"∃⊬67F⋓∃⊬60F=∃⊬0","layer":1},{"info":"∃⊬EEF∑⇟⊟∃⊬C5A=NaN","layer":1},{"info":"∃⊬0⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":952,"expression_no_base_symbol":"(⊥$1494$)⨎($2091$⋥≓≎$1230$)","expression":"(⊥∃⊬5D6)⨎(∃⊬82B⋥≓≎∃⊬4CE)","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":1494,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2091,"base":16},"right_expr":{"type":"numeric_atoms","value":1230,"base":16}}},"used_operators":["rJVOvQCfKK","Q3PJZHRvZv","Qy55tPpLXF"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬192","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1494","layer":2},{"info":"compute unary expreesion, input=1494, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2091","layer":2},{"info":"number node, value=1230","layer":2},{"info":"compute binary expreesion, left_input=2091, right_input=1230, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=402","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=402, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=402","layer":0}],"base":16,"result_base":16,"text":"(⊥∃⊬5D6)⨎(∃⊬82B⋥≓≎∃⊬4CE)=∃⊬192","reverse_text":"∃⊬192=(⊥∃⊬5D6)⨎(∃⊬82B⋥≓≎∃⊬4CE)","cot":[{"info":"⊥∃⊬5D6=NaN","layer":1},{"info":"∃⊬82B⋥≓≎∃⊬4CE=∃⊬192","layer":1},{"info":"NaN⨎∃⊬192=∃⊬192","layer":0}]}
+{"id":953,"expression_no_base_symbol":"(-$6883$)⊘","expression":"(-∃⊬1AE3)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":2,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6883,"base":16}}},"used_operators":["gu96TGCTMs","t8gj7n24qd"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6883","layer":2},{"info":"compute unary expreesion, input=6883, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6883","layer":1},{"info":"compute unary expreesion, input=-6883, 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":16,"result_base":16,"text":"(-∃⊬1AE3)⊘=∃⊬-1","reverse_text":"∃⊬-1=(-∃⊬1AE3)⊘","cot":[{"info":"-∃⊬1AE3=∃⊬-1AE3","layer":1},{"info":"∃⊬-1AE3⊘=∃⊬-1","layer":0}]}
+{"id":954,"expression_no_base_symbol":"(≦∁$3158$)∸","expression":"(≦∁∃⊬C56)∸","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":3158,"base":16}}},"used_operators":["o20kRiQErp","9ICcGScMcE"],"dependent_operators":["tmPS8pqC7x","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"∃⊬B1","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3158","layer":2},{"info":"compute unary expreesion, input=3158, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3158","layer":1},{"info":"compute unary expreesion, input=3158, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬C56)∸=∃⊬B1","reverse_text":"∃⊬B1=(≦∁∃⊬C56)∸","cot":[{"info":"≦∁∃⊬C56=∃⊬C56","layer":1},{"info":"∃⊬C56∸=∃⊬B1","layer":0}]}
+{"id":955,"expression_no_base_symbol":"($6372$⩷∴$4404$)∀⇚≩($2721$⩚⊴⇥$1275$)","expression":"(∃⊬18E4⩷∴∃⊬1134)∀⇚≩(∃⊬AA1⩚⊴⇥∃⊬4FB)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27337,"operation_count":3,"complexity_ratio":9112.333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6372,"base":16},"right_expr":{"type":"numeric_atoms","value":4404,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2721,"base":16},"right_expr":{"type":"numeric_atoms","value":1275,"base":16}}},"used_operators":["LRNGc0VcxI","9FxExcQeMw","NTOWxs364D"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6372","layer":2},{"info":"number node, value=4404","layer":2},{"info":"compute binary expreesion, left_input=6372, right_input=4404, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3904","layer":1},{"info":"number node, value=2721","layer":2},{"info":"number node, value=1275","layer":2},{"info":"compute binary expreesion, left_input=2721, right_input=1275, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4117","layer":1},{"info":"compute binary expreesion, left_input=3904, right_input=-4117, 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":16,"result_base":16,"text":"(∃⊬18E4⩷∴∃⊬1134)∀⇚≩(∃⊬AA1⩚⊴⇥∃⊬4FB)=NaN","reverse_text":"NaN=(∃⊬18E4⩷∴∃⊬1134)∀⇚≩(∃⊬AA1⩚⊴⇥∃⊬4FB)","cot":[{"info":"∃⊬18E4⩷∴∃⊬1134=∃⊬F40","layer":1},{"info":"∃⊬AA1⩚⊴⇥∃⊬4FB=∃⊬-1015","layer":1},{"info":"∃⊬F40∀⇚≩∃⊬-1015=NaN","layer":0}]}
+{"id":956,"expression_no_base_symbol":"($3555$⋝⋈⪟$1322$)∀⇚≩$1255$⪘⫢$1285$","expression":"(∃⊬DE3⋝⋈⪟∃⊬52A)∀⇚≩∃⊬4E7⪘⫢∃⊬505","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24903,"operation_count":3,"complexity_ratio":8301.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3555,"base":16},"right_expr":{"type":"numeric_atoms","value":1322,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1255,"base":16},"right_expr":{"type":"numeric_atoms","value":1285,"base":16}}},"used_operators":["LRNGc0VcxI","2DDjHMKMc0","oacrs7FA3X"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3555","layer":2},{"info":"number node, value=1322","layer":2},{"info":"compute binary expreesion, left_input=3555, right_input=1322, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3555","layer":1},{"info":"number node, value=1255","layer":2},{"info":"number node, value=1285","layer":2},{"info":"compute binary expreesion, left_input=1255, right_input=1285, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2386","layer":1},{"info":"compute binary expreesion, left_input=3555, right_input=2386, 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":16,"result_base":16,"text":"(∃⊬DE3⋝⋈⪟∃⊬52A)∀⇚≩∃⊬4E7⪘⫢∃⊬505=NaN","reverse_text":"NaN=(∃⊬DE3⋝⋈⪟∃⊬52A)∀⇚≩∃⊬4E7⪘⫢∃⊬505","cot":[{"info":"∃⊬DE3⋝⋈⪟∃⊬52A=∃⊬DE3","layer":1},{"info":"∃⊬4E7⪘⫢∃⊬505=∃⊬952","layer":1},{"info":"∃⊬DE3∀⇚≩∃⊬952=NaN","layer":0}]}
+{"id":957,"expression_no_base_symbol":"$1480$⨓$6616$⨵⪆$1953$⪛$1137$","expression":"∃⊬5C8⨓∃⊬19D8⨵⪆∃⊬7A1⪛∃⊬471","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6627,"operation_count":3,"complexity_ratio":2209.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1480,"base":16},"right_expr":{"type":"numeric_atoms","value":6616,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1953,"base":16},"right_expr":{"type":"numeric_atoms","value":1137,"base":16}}},"used_operators":["2DQ55sFlQl","3ViojmjbAp","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1480","layer":2},{"info":"number node, value=6616","layer":2},{"info":"compute binary expreesion, left_input=1480, right_input=6616, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6619","layer":1},{"info":"number node, value=1953","layer":2},{"info":"number node, value=1137","layer":2},{"info":"compute binary expreesion, left_input=1953, right_input=1137, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=816","layer":1},{"info":"compute binary expreesion, left_input=-6619, right_input=816, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬5C8⨓∃⊬19D8⨵⪆∃⊬7A1⪛∃⊬471=∃⊬A0","reverse_text":"∃⊬A0=∃⊬5C8⨓∃⊬19D8⨵⪆∃⊬7A1⪛∃⊬471","cot":[{"info":"∃⊬5C8⨓∃⊬19D8=∃⊬-19DB","layer":1},{"info":"∃⊬7A1⪛∃⊬471=∃⊬330","layer":1},{"info":"∃⊬-19DB⨵⪆∃⊬330=∃⊬A0","layer":0}]}
+{"id":958,"expression_no_base_symbol":"($3290$⇷$1239$)⪘⫢($3698$⨸⪁$1394$)","expression":"(∃⊬CDA⇷∃⊬4D7)⪘⫢(∃⊬E72⨸⪁∃⊬572)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":46084,"operation_count":3,"complexity_ratio":15361.333333333334,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3290,"base":16},"right_expr":{"type":"numeric_atoms","value":1239,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3698,"base":16},"right_expr":{"type":"numeric_atoms","value":1394,"base":16}}},"used_operators":["oacrs7FA3X","mp7IySMOzn","g55IO6H4Gj"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe"],"result":"∃⊬12E0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3290","layer":2},{"info":"number node, value=1239","layer":2},{"info":"compute binary expreesion, left_input=3290, right_input=1239, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2478","layer":1},{"info":"number node, value=3698","layer":2},{"info":"number node, value=1394","layer":2},{"info":"compute binary expreesion, left_input=3698, right_input=1394, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10184","layer":1},{"info":"compute binary expreesion, left_input=2478, right_input=10184, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4832","layer":0}],"base":16,"result_base":16,"text":"(∃⊬CDA⇷∃⊬4D7)⪘⫢(∃⊬E72⨸⪁∃⊬572)=∃⊬12E0","reverse_text":"∃⊬12E0=(∃⊬CDA⇷∃⊬4D7)⪘⫢(∃⊬E72⨸⪁∃⊬572)","cot":[{"info":"∃⊬CDA⇷∃⊬4D7=∃⊬9AE","layer":1},{"info":"∃⊬E72⨸⪁∃⊬572=∃⊬27C8","layer":1},{"info":"∃⊬9AE⪘⫢∃⊬27C8=∃⊬12E0","layer":0}]}
+{"id":959,"expression_no_base_symbol":"⋗⩬⋾($5043$⊭↱$2806$)","expression":"⋗⩬⋾(∃⊬13B3⊭↱∃⊬AF6)","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":5043,"base":16},"right_expr":{"type":"numeric_atoms","value":2806,"base":16}}},"used_operators":["DpFCA1CohY","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬345F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5043","layer":2},{"info":"number node, value=2806","layer":2},{"info":"compute binary expreesion, left_input=5043, right_input=2806, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4469","layer":1},{"info":"compute unary expreesion, input=-4469, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=13407","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾(∃⊬13B3⊭↱∃⊬AF6)=∃⊬345F","reverse_text":"∃⊬345F=⋗⩬⋾(∃⊬13B3⊭↱∃⊬AF6)","cot":[{"info":"∃⊬13B3⊭↱∃⊬AF6=∃⊬-1175","layer":1},{"info":"⋗⩬⋾∃⊬-1175=∃⊬345F","layer":0}]}
+{"id":960,"expression_no_base_symbol":"($1588$⊭↱$6064$)⨟⋌⩍($1620$⨸⪁$2937$)","expression":"(∃⊬634⊭↱∃⊬17B0)⨟⋌⩍(∃⊬654⨸⪁∃⊬B79)","highest_n_order":4,"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":1588,"base":16},"right_expr":{"type":"numeric_atoms","value":6064,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1620,"base":16},"right_expr":{"type":"numeric_atoms","value":2937,"base":16}}},"used_operators":["rGHVDoGpnC","COABgblf1C","g55IO6H4Gj"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1588","layer":2},{"info":"number node, value=6064","layer":2},{"info":"compute binary expreesion, left_input=1588, right_input=6064, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8957","layer":1},{"info":"number node, value=1620","layer":2},{"info":"number node, value=2937","layer":2},{"info":"compute binary expreesion, left_input=1620, right_input=2937, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9114","layer":1},{"info":"compute binary expreesion, left_input=8957, right_input=9114, 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":16,"result_base":16,"text":"(∃⊬634⊭↱∃⊬17B0)⨟⋌⩍(∃⊬654⨸⪁∃⊬B79)=NaN","reverse_text":"NaN=(∃⊬634⊭↱∃⊬17B0)⨟⋌⩍(∃⊬654⨸⪁∃⊬B79)","cot":[{"info":"∃⊬634⊭↱∃⊬17B0=∃⊬22FD","layer":1},{"info":"∃⊬654⨸⪁∃⊬B79=∃⊬239A","layer":1},{"info":"∃⊬22FD⨟⋌⩍∃⊬239A=NaN","layer":0}]}
+{"id":961,"expression_no_base_symbol":"($1074$⫌⩹⨱)+⇶⊼($7179$↺$6970$)","expression":"(∃⊬432⫌⩹⨱)+⇶⊼(∃⊬1C0B↺∃⊬1B3A)","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":1074,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7179,"base":16},"right_expr":{"type":"numeric_atoms","value":6970,"base":16}}},"used_operators":["TpPTUOHfaN","EBcxylXtPf","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1074","layer":2},{"info":"compute unary expreesion, input=1074, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3549","layer":1},{"info":"number node, value=7179","layer":2},{"info":"number node, value=6970","layer":2},{"info":"compute binary expreesion, left_input=7179, right_input=6970, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6970","layer":1},{"info":"compute binary expreesion, left_input=3549, right_input=6970, 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":16,"result_base":16,"text":"(∃⊬432⫌⩹⨱)+⇶⊼(∃⊬1C0B↺∃⊬1B3A)=NaN","reverse_text":"NaN=(∃⊬432⫌⩹⨱)+⇶⊼(∃⊬1C0B↺∃⊬1B3A)","cot":[{"info":"∃⊬432⫌⩹⨱=∃⊬DDD","layer":1},{"info":"∃⊬1C0B↺∃⊬1B3A=∃⊬1B3A","layer":1},{"info":"∃⊬DDD+⇶⊼∃⊬1B3A=NaN","layer":0}]}
+{"id":962,"expression_no_base_symbol":"$1484$⩚⊴⇥$1525$⫌⩹⨱","expression":"∃⊬5CC⩚⊴⇥∃⊬5F5⫌⩹⨱","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":1484,"base":16},"right_expr":{"type":"numeric_atoms","value":1525,"base":16}}},"used_operators":["EBcxylXtPf","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-12FB","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":2},{"info":"number node, value=1525","layer":2},{"info":"compute binary expreesion, left_input=1484, right_input=1525, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3130","layer":1},{"info":"compute unary expreesion, input=-3130, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-4859","layer":0}],"base":16,"result_base":16,"text":"∃⊬5CC⩚⊴⇥∃⊬5F5⫌⩹⨱=∃⊬-12FB","reverse_text":"∃⊬-12FB=∃⊬5CC⩚⊴⇥∃⊬5F5⫌⩹⨱","cot":[{"info":"∃⊬5CC⩚⊴⇥∃⊬5F5=∃⊬-C3A","layer":1},{"info":"∃⊬-C3A⫌⩹⨱=∃⊬-12FB","layer":0}]}
+{"id":963,"expression_no_base_symbol":"$1143$⪄$1119$⊭↱$1520$≧⫂∧$1002$","expression":"∃⊬477⪄∃⊬45F⊭↱∃⊬5F0≧⫂∧∃⊬3EA","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":1143,"base":16},"right_expr":{"type":"numeric_atoms","value":1119,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1520,"base":16},"right_expr":{"type":"numeric_atoms","value":1002,"base":16}}},"used_operators":["COABgblf1C","SUmda5xLS4","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬53229","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1143","layer":2},{"info":"number node, value=1119","layer":2},{"info":"compute binary expreesion, left_input=1143, right_input=1119, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-169729","layer":1},{"info":"number node, value=1520","layer":2},{"info":"number node, value=1002","layer":2},{"info":"compute binary expreesion, left_input=1520, right_input=1002, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=529","layer":1},{"info":"compute binary expreesion, left_input=-169729, right_input=529, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=340521","layer":0}],"base":16,"result_base":16,"text":"∃⊬477⪄∃⊬45F⊭↱∃⊬5F0≧⫂∧∃⊬3EA=∃⊬53229","reverse_text":"∃⊬53229=∃⊬477⪄∃⊬45F⊭↱∃⊬5F0≧⫂∧∃⊬3EA","cot":[{"info":"∃⊬477⪄∃⊬45F=∃⊬-29701","layer":1},{"info":"∃⊬5F0≧⫂∧∃⊬3EA=∃⊬211","layer":1},{"info":"∃⊬-29701⊭↱∃⊬211=∃⊬53229","layer":0}]}
+{"id":964,"expression_no_base_symbol":"≉$4483$↬$1873$","expression":"≉∃⊬1183↬∃⊬751","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":4483,"base":16},"right_expr":{"type":"numeric_atoms","value":1873,"base":16}}},"used_operators":["e1ybzncUwg","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4483","layer":2},{"info":"number node, value=1873","layer":2},{"info":"compute binary expreesion, left_input=4483, right_input=1873, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≉∃⊬1183↬∃⊬751=NaN","reverse_text":"NaN=≉∃⊬1183↬∃⊬751","cot":[{"info":"∃⊬1183↬∃⊬751=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
+{"id":965,"expression_no_base_symbol":"($2660$⋷$5346$)⪢($1507$⪒$3639$)","expression":"(∃⊬A64⋷∃⊬14E2)⪢(∃⊬5E3⪒∃⊬E37)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5587,"operation_count":3,"complexity_ratio":1862.3333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2660,"base":16},"right_expr":{"type":"numeric_atoms","value":5346,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1507,"base":16},"right_expr":{"type":"numeric_atoms","value":3639,"base":16}}},"used_operators":["dWAJyo7jo9","23Mk6UjR3U","f6k1SAg4EE"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2660","layer":2},{"info":"number node, value=5346","layer":2},{"info":"compute binary expreesion, left_input=2660, right_input=5346, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8032","layer":1},{"info":"number node, value=1507","layer":2},{"info":"number node, value=3639","layer":2},{"info":"compute binary expreesion, left_input=1507, right_input=3639, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5146","layer":1},{"info":"compute binary expreesion, left_input=8032, right_input=-5146, 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":16,"result_base":16,"text":"(∃⊬A64⋷∃⊬14E2)⪢(∃⊬5E3⪒∃⊬E37)=NaN","reverse_text":"NaN=(∃⊬A64⋷∃⊬14E2)⪢(∃⊬5E3⪒∃⊬E37)","cot":[{"info":"∃⊬A64⋷∃⊬14E2=∃⊬1F60","layer":1},{"info":"∃⊬5E3⪒∃⊬E37=∃⊬-141A","layer":1},{"info":"∃⊬1F60⪢∃⊬-141A=NaN","layer":0}]}
+{"id":966,"expression_no_base_symbol":"$6477$∀⇚≩$2267$⪒$2011$∲⫓$5387$","expression":"∃⊬194D∀⇚≩∃⊬8DB⪒∃⊬7DB∲⫓∃⊬150B","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":45344,"operation_count":3,"complexity_ratio":15114.666666666666,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6477,"base":16},"right_expr":{"type":"numeric_atoms","value":2267,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2011,"base":16},"right_expr":{"type":"numeric_atoms","value":5387,"base":16}}},"used_operators":["f6k1SAg4EE","LRNGc0VcxI","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6477","layer":2},{"info":"number node, value=2267","layer":2},{"info":"compute binary expreesion, left_input=6477, right_input=2267, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2011","layer":2},{"info":"number node, value=5387","layer":2},{"info":"compute binary expreesion, left_input=2011, right_input=5387, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬194D∀⇚≩∃⊬8DB⪒∃⊬7DB∲⫓∃⊬150B=NaN","reverse_text":"NaN=∃⊬194D∀⇚≩∃⊬8DB⪒∃⊬7DB∲⫓∃⊬150B","cot":[{"info":"∃⊬194D∀⇚≩∃⊬8DB=NaN","layer":1},{"info":"∃⊬7DB∲⫓∃⊬150B=∃⊬0","layer":1},{"info":"NaN⪒∃⊬0=NaN","layer":0}]}
+{"id":967,"expression_no_base_symbol":"($3129$↙$2407$)⩚⊴⇥($4949$⫸⊐$1031$)","expression":"(∃⊬C39↙∃⊬967)⩚⊴⇥(∃⊬1355⫸⊐∃⊬407)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2437,"operation_count":3,"complexity_ratio":812.3333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3129,"base":16},"right_expr":{"type":"numeric_atoms","value":2407,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4949,"base":16},"right_expr":{"type":"numeric_atoms","value":1031,"base":16}}},"used_operators":["NTOWxs364D","yyfyN0ffXY","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬C1D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3129","layer":2},{"info":"number node, value=2407","layer":2},{"info":"compute binary expreesion, left_input=3129, right_input=2407, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7221","layer":1},{"info":"number node, value=4949","layer":2},{"info":"number node, value=1031","layer":2},{"info":"compute binary expreesion, left_input=4949, right_input=1031, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3999","layer":1},{"info":"compute binary expreesion, left_input=-7221, right_input=3999, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3101","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C39↙∃⊬967)⩚⊴⇥(∃⊬1355⫸⊐∃⊬407)=∃⊬C1D","reverse_text":"∃⊬C1D=(∃⊬C39↙∃⊬967)⩚⊴⇥(∃⊬1355⫸⊐∃⊬407)","cot":[{"info":"∃⊬C39↙∃⊬967=∃⊬-1C35","layer":1},{"info":"∃⊬1355⫸⊐∃⊬407=∃⊬F9F","layer":1},{"info":"∃⊬-1C35⩚⊴⇥∃⊬F9F=∃⊬C1D","layer":0}]}
+{"id":968,"expression_no_base_symbol":"(⨞⊢$1188$)⊴(≤/$5673$)","expression":"(⨞⊢∃⊬4A4)⊴(≤/∃⊬1629)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5198,"operation_count":3,"complexity_ratio":1732.6666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1188,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5673,"base":16}}},"used_operators":["Nsiff2A1zJ","xUOZtlo3hN","eLAdDNolq6"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1188","layer":2},{"info":"compute unary expreesion, input=1188, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1362","layer":1},{"info":"number node, value=5673","layer":2},{"info":"compute unary expreesion, input=5673, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5189","layer":1},{"info":"compute binary expreesion, left_input=-1362, right_input=-5189, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨞⊢∃⊬4A4)⊴(≤/∃⊬1629)=NaN","reverse_text":"NaN=(⨞⊢∃⊬4A4)⊴(≤/∃⊬1629)","cot":[{"info":"⨞⊢∃⊬4A4=∃⊬-552","layer":1},{"info":"≤/∃⊬1629=∃⊬-1445","layer":1},{"info":"∃⊬-552⊴∃⊬-1445=NaN","layer":0}]}
+{"id":969,"expression_no_base_symbol":"$1219$≎⊠⪸$1968$+⇶⊼($3647$↙$6474$)","expression":"∃⊬4C3≎⊠⪸∃⊬7B0+⇶⊼(∃⊬E3F↙∃⊬194A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6748,"operation_count":3,"complexity_ratio":2249.3333333333335,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1219,"base":16},"right_expr":{"type":"numeric_atoms","value":1968,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3647,"base":16},"right_expr":{"type":"numeric_atoms","value":6474,"base":16}}},"used_operators":["TpPTUOHfaN","bJkvcejdHO","yyfyN0ffXY"],"dependent_operators":["AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":2},{"info":"number node, value=1968","layer":2},{"info":"compute binary expreesion, left_input=1219, right_input=1968, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=315248","layer":1},{"info":"number node, value=3647","layer":2},{"info":"number node, value=6474","layer":2},{"info":"compute binary expreesion, left_input=3647, right_input=6474, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19422","layer":1},{"info":"compute binary expreesion, left_input=315248, right_input=-19422, 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":16,"result_base":16,"text":"∃⊬4C3≎⊠⪸∃⊬7B0+⇶⊼(∃⊬E3F↙∃⊬194A)=NaN","reverse_text":"NaN=∃⊬4C3≎⊠⪸∃⊬7B0+⇶⊼(∃⊬E3F↙∃⊬194A)","cot":[{"info":"∃⊬4C3≎⊠⪸∃⊬7B0=∃⊬4CF70","layer":1},{"info":"∃⊬E3F↙∃⊬194A=∃⊬-4BDE","layer":1},{"info":"∃⊬4CF70+⇶⊼∃⊬-4BDE=NaN","layer":0}]}
+{"id":970,"expression_no_base_symbol":"($2129$⩨$1601$)⩚⊴⇥$1006$∑⇟⊟$3416$","expression":"(∃⊬851⩨∃⊬641)⩚⊴⇥∃⊬3EE∑⇟⊟∃⊬D58","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":2129,"base":16},"right_expr":{"type":"numeric_atoms","value":1601,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1006,"base":16},"right_expr":{"type":"numeric_atoms","value":3416,"base":16}}},"used_operators":["NTOWxs364D","2DlMacCsIx","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2129","layer":2},{"info":"number node, value=1601","layer":2},{"info":"compute binary expreesion, left_input=2129, right_input=1601, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1006","layer":2},{"info":"number node, value=3416","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=3416, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬851⩨∃⊬641)⩚⊴⇥∃⊬3EE∑⇟⊟∃⊬D58=NaN","reverse_text":"NaN=(∃⊬851⩨∃⊬641)⩚⊴⇥∃⊬3EE∑⇟⊟∃⊬D58","cot":[{"info":"∃⊬851⩨∃⊬641=∃⊬0","layer":1},{"info":"∃⊬3EE∑⇟⊟∃⊬D58=NaN","layer":1},{"info":"∃⊬0⩚⊴⇥NaN=NaN","layer":0}]}
+{"id":971,"expression_no_base_symbol":"(⊙↵-$1691$)*(⨰⫟⨤$2466$)","expression":"(⊙↵-∃⊬69B)*(⨰⫟⨤∃⊬9A2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10762,"operation_count":3,"complexity_ratio":3587.3333333333335,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1691,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2466,"base":16}}},"used_operators":["9HNa5Wba9A","oWn0xqSxBt","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1691","layer":2},{"info":"compute unary expreesion, input=1691, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=2466","layer":2},{"info":"compute unary expreesion, input=2466, 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=-1, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-∃⊬69B)*(⨰⫟⨤∃⊬9A2)=NaN","reverse_text":"NaN=(⊙↵-∃⊬69B)*(⨰⫟⨤∃⊬9A2)","cot":[{"info":"⊙↵-∃⊬69B=∃⊬-1","layer":1},{"info":"⨰⫟⨤∃⊬9A2=NaN","layer":1},{"info":"∃⊬-1*NaN=NaN","layer":0}]}
+{"id":972,"expression_no_base_symbol":"($2909$⩚⊴⇥$2163$)⇷($4547$⨰$1644$)","expression":"(∃⊬B5D⩚⊴⇥∃⊬873)⇷(∃⊬11C3⨰∃⊬66C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":72717,"operation_count":3,"complexity_ratio":24239.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2909,"base":16},"right_expr":{"type":"numeric_atoms","value":2163,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4547,"base":16},"right_expr":{"type":"numeric_atoms","value":1644,"base":16}}},"used_operators":["mp7IySMOzn","NTOWxs364D","eewbuw0ToL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬16C2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2909","layer":2},{"info":"number node, value=2163","layer":2},{"info":"compute binary expreesion, left_input=2909, right_input=2163, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5193","layer":1},{"info":"number node, value=4547","layer":2},{"info":"number node, value=1644","layer":2},{"info":"compute binary expreesion, left_input=4547, right_input=1644, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2913","layer":1},{"info":"compute binary expreesion, left_input=-5193, right_input=2913, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5826","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B5D⩚⊴⇥∃⊬873)⇷(∃⊬11C3⨰∃⊬66C)=∃⊬16C2","reverse_text":"∃⊬16C2=(∃⊬B5D⩚⊴⇥∃⊬873)⇷(∃⊬11C3⨰∃⊬66C)","cot":[{"info":"∃⊬B5D⩚⊴⇥∃⊬873=∃⊬-1449","layer":1},{"info":"∃⊬11C3⨰∃⊬66C=∃⊬B61","layer":1},{"info":"∃⊬-1449⇷∃⊬B61=∃⊬16C2","layer":0}]}
+{"id":973,"expression_no_base_symbol":"$5821$⋝⋈⪟$2759$⫥∨⫟$1048$∼$4857$","expression":"∃⊬16BD⋝⋈⪟∃⊬AC7⫥∨⫟∃⊬418∼∃⊬12F9","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":179,"operation_count":3,"complexity_ratio":59.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5821,"base":16},"right_expr":{"type":"numeric_atoms","value":2759,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1048,"base":16},"right_expr":{"type":"numeric_atoms","value":4857,"base":16}}},"used_operators":["KYD54nUTWz","2DDjHMKMc0","DyGG3AbaNP"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5821","layer":2},{"info":"number node, value=2759","layer":2},{"info":"compute binary expreesion, left_input=5821, right_input=2759, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5821","layer":1},{"info":"number node, value=1048","layer":2},{"info":"number node, value=4857","layer":2},{"info":"compute binary expreesion, left_input=1048, right_input=4857, 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=5821, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬16BD⋝⋈⪟∃⊬AC7⫥∨⫟∃⊬418∼∃⊬12F9=NaN","reverse_text":"NaN=∃⊬16BD⋝⋈⪟∃⊬AC7⫥∨⫟∃⊬418∼∃⊬12F9","cot":[{"info":"∃⊬16BD⋝⋈⪟∃⊬AC7=∃⊬16BD","layer":1},{"info":"∃⊬418∼∃⊬12F9=NaN","layer":1},{"info":"∃⊬16BD⫥∨⫟NaN=NaN","layer":0}]}
+{"id":974,"expression_no_base_symbol":"(↥$4992$)⋓($4860$⫡⨏$1920$)","expression":"(↥∃⊬1380)⋓(∃⊬12FC⫡⨏∃⊬780)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":117,"operation_count":3,"complexity_ratio":39.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4992,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4860,"base":16},"right_expr":{"type":"numeric_atoms","value":1920,"base":16}}},"used_operators":["T2fj7uvVaJ","A8NUZmVepG","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4992","layer":2},{"info":"compute unary expreesion, input=4992, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=45","layer":1},{"info":"number node, value=4860","layer":2},{"info":"number node, value=1920","layer":2},{"info":"compute binary expreesion, left_input=4860, right_input=1920, 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=28923","layer":1},{"info":"compute binary expreesion, left_input=45, right_input=28923, 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":16,"result_base":16,"text":"(↥∃⊬1380)⋓(∃⊬12FC⫡⨏∃⊬780)=∃⊬0","reverse_text":"∃⊬0=(↥∃⊬1380)⋓(∃⊬12FC⫡⨏∃⊬780)","cot":[{"info":"↥∃⊬1380=∃⊬2D","layer":1},{"info":"∃⊬12FC⫡⨏∃⊬780=∃⊬70FB","layer":1},{"info":"∃⊬2D⋓∃⊬70FB=∃⊬0","layer":0}]}
+{"id":975,"expression_no_base_symbol":"$1802$⪮%⊝$3425$%(⊙↵-$2184$)","expression":"∃⊬70A⪮%⊝∃⊬D61%(⊙↵-∃⊬888)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6159,"operation_count":3,"complexity_ratio":2053.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1802,"base":16},"right_expr":{"type":"numeric_atoms","value":3425,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2184,"base":16}}},"used_operators":["k8jYdgA6NY","IWmyXbctLI","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1802","layer":2},{"info":"number node, value=3425","layer":2},{"info":"compute binary expreesion, left_input=1802, right_input=3425, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3920","layer":1},{"info":"number node, value=2184","layer":2},{"info":"compute unary expreesion, input=2184, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=3920, right_input=-1, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":16,"result_base":16,"text":"∃⊬70A⪮%⊝∃⊬D61%(⊙↵-∃⊬888)=∃⊬0","reverse_text":"∃⊬0=∃⊬70A⪮%⊝∃⊬D61%(⊙↵-∃⊬888)","cot":[{"info":"∃⊬70A⪮%⊝∃⊬D61=∃⊬F50","layer":1},{"info":"⊙↵-∃⊬888=∃⊬-1","layer":1},{"info":"∃⊬F50%∃⊬-1=∃⊬0","layer":0}]}
+{"id":976,"expression_no_base_symbol":"($1280$∀⇚≩$1878$)↬$4096$⪛$4985$","expression":"(∃⊬500∀⇚≩∃⊬756)↬∃⊬1000⪛∃⊬1379","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8965,"operation_count":3,"complexity_ratio":2988.3333333333335,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1280,"base":16},"right_expr":{"type":"numeric_atoms","value":1878,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4096,"base":16},"right_expr":{"type":"numeric_atoms","value":4985,"base":16}}},"used_operators":["B5M0gjZbta","LRNGc0VcxI","uFcxV4UQCh"],"dependent_operators":["rGHVDoGpnC","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1280","layer":2},{"info":"number node, value=1878","layer":2},{"info":"compute binary expreesion, left_input=1280, right_input=1878, 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=4096","layer":2},{"info":"number node, value=4985","layer":2},{"info":"compute binary expreesion, left_input=4096, right_input=4985, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4096","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4096, 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":16,"result_base":16,"text":"(∃⊬500∀⇚≩∃⊬756)↬∃⊬1000⪛∃⊬1379=NaN","reverse_text":"NaN=(∃⊬500∀⇚≩∃⊬756)↬∃⊬1000⪛∃⊬1379","cot":[{"info":"∃⊬500∀⇚≩∃⊬756=NaN","layer":1},{"info":"∃⊬1000⪛∃⊬1379=∃⊬1000","layer":1},{"info":"NaN↬∃⊬1000=NaN","layer":0}]}
+{"id":977,"expression_no_base_symbol":"(⨵≀≌$4535$)⪘⫢$9308$⇷$3610$","expression":"(⨵≀≌∃⊬11B7)⪘⫢∃⊬245C⇷∃⊬E1A","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":130330,"operation_count":3,"complexity_ratio":43443.333333333336,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4535,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":9308,"base":16},"right_expr":{"type":"numeric_atoms","value":3610,"base":16}}},"used_operators":["oacrs7FA3X","srAu1WTS94","mp7IySMOzn"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4535","layer":2},{"info":"compute unary expreesion, input=4535, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13605","layer":1},{"info":"number node, value=9308","layer":2},{"info":"number node, value=3610","layer":2},{"info":"compute binary expreesion, left_input=9308, right_input=3610, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7220","layer":1},{"info":"compute binary expreesion, left_input=-13605, right_input=7220, 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":16,"result_base":16,"text":"(⨵≀≌∃⊬11B7)⪘⫢∃⊬245C⇷∃⊬E1A=∃⊬-1","reverse_text":"∃⊬-1=(⨵≀≌∃⊬11B7)⪘⫢∃⊬245C⇷∃⊬E1A","cot":[{"info":"⨵≀≌∃⊬11B7=∃⊬-3525","layer":1},{"info":"∃⊬245C⇷∃⊬E1A=∃⊬1C34","layer":1},{"info":"∃⊬-3525⪘⫢∃⊬1C34=∃⊬-1","layer":0}]}
+{"id":978,"expression_no_base_symbol":"$3916$≭$3292$⨵⪆$2498$⇷$2667$","expression":"∃⊬F4C≭∃⊬CDC⨵⪆∃⊬9C2⇷∃⊬A6B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34980,"operation_count":3,"complexity_ratio":11660.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3916,"base":16},"right_expr":{"type":"numeric_atoms","value":3292,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2498,"base":16},"right_expr":{"type":"numeric_atoms","value":2667,"base":16}}},"used_operators":["2DQ55sFlQl","rxpJgHHUmx","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3916","layer":2},{"info":"number node, value=3292","layer":2},{"info":"compute binary expreesion, left_input=3916, right_input=3292, 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=2498","layer":2},{"info":"number node, value=2667","layer":2},{"info":"compute binary expreesion, left_input=2498, right_input=2667, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5334","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5334, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬F4C≭∃⊬CDC⨵⪆∃⊬9C2⇷∃⊬A6B=∃⊬A0","reverse_text":"∃⊬A0=∃⊬F4C≭∃⊬CDC⨵⪆∃⊬9C2⇷∃⊬A6B","cot":[{"info":"∃⊬F4C≭∃⊬CDC=NaN","layer":1},{"info":"∃⊬9C2⇷∃⊬A6B=∃⊬14D6","layer":1},{"info":"NaN⨵⪆∃⊬14D6=∃⊬A0","layer":0}]}
+{"id":979,"expression_no_base_symbol":"$9631$∼$1992$⩷∴$3426$⇷$2726$","expression":"∃⊬259F∼∃⊬7C8⩷∴∃⊬D62⇷∃⊬AA6","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48166,"operation_count":3,"complexity_ratio":16055.333333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":9631,"base":16},"right_expr":{"type":"numeric_atoms","value":1992,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3426,"base":16},"right_expr":{"type":"numeric_atoms","value":2726,"base":16}}},"used_operators":["9FxExcQeMw","DyGG3AbaNP","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=9631","layer":2},{"info":"number node, value=1992","layer":2},{"info":"compute binary expreesion, left_input=9631, right_input=1992, 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=3426","layer":2},{"info":"number node, value=2726","layer":2},{"info":"compute binary expreesion, left_input=3426, right_input=2726, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5452","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5452, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬259F∼∃⊬7C8⩷∴∃⊬D62⇷∃⊬AA6=NaN","reverse_text":"NaN=∃⊬259F∼∃⊬7C8⩷∴∃⊬D62⇷∃⊬AA6","cot":[{"info":"∃⊬259F∼∃⊬7C8=NaN","layer":1},{"info":"∃⊬D62⇷∃⊬AA6=∃⊬154C","layer":1},{"info":"NaN⩷∴∃⊬154C=NaN","layer":0}]}
+{"id":980,"expression_no_base_symbol":"$1838$⨟⋌⩍$2630$≭$3721$⇷$1796$","expression":"∃⊬72E⨟⋌⩍∃⊬A46≭∃⊬E89⇷∃⊬704","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52102,"operation_count":3,"complexity_ratio":17367.333333333332,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1838,"base":16},"right_expr":{"type":"numeric_atoms","value":2630,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3721,"base":16},"right_expr":{"type":"numeric_atoms","value":1796,"base":16}}},"used_operators":["rxpJgHHUmx","rGHVDoGpnC","mp7IySMOzn"],"dependent_operators":["AHs5Up7iyr","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1838","layer":2},{"info":"number node, value=2630","layer":2},{"info":"compute binary expreesion, left_input=1838, right_input=2630, 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=3721","layer":2},{"info":"number node, value=1796","layer":2},{"info":"compute binary expreesion, left_input=3721, right_input=1796, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3592","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3592, 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":16,"result_base":16,"text":"∃⊬72E⨟⋌⩍∃⊬A46≭∃⊬E89⇷∃⊬704=NaN","reverse_text":"NaN=∃⊬72E⨟⋌⩍∃⊬A46≭∃⊬E89⇷∃⊬704","cot":[{"info":"∃⊬72E⨟⋌⩍∃⊬A46=NaN","layer":1},{"info":"∃⊬E89⇷∃⊬704=∃⊬E08","layer":1},{"info":"NaN≭∃⊬E08=NaN","layer":0}]}
+{"id":981,"expression_no_base_symbol":"($1908$⊦⊿)*$6563$⪘⫢$1191$","expression":"(∃⊬774⊦⊿)*∃⊬19A3⪘⫢∃⊬4A7","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5824,"operation_count":3,"complexity_ratio":1941.3333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1908,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6563,"base":16},"right_expr":{"type":"numeric_atoms","value":1191,"base":16}}},"used_operators":["9HNa5Wba9A","14qkJME0vr","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬-47F48EE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1908","layer":2},{"info":"compute unary expreesion, input=1908, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5803","layer":1},{"info":"number node, value=6563","layer":2},{"info":"number node, value=1191","layer":2},{"info":"compute binary expreesion, left_input=6563, right_input=1191, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13002","layer":1},{"info":"compute binary expreesion, left_input=-5803, right_input=13002, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-75450606","layer":0}],"base":16,"result_base":16,"text":"(∃⊬774⊦⊿)*∃⊬19A3⪘⫢∃⊬4A7=∃⊬-47F48EE","reverse_text":"∃⊬-47F48EE=(∃⊬774⊦⊿)*∃⊬19A3⪘⫢∃⊬4A7","cot":[{"info":"∃⊬774⊦⊿=∃⊬-16AB","layer":1},{"info":"∃⊬19A3⪘⫢∃⊬4A7=∃⊬32CA","layer":1},{"info":"∃⊬-16AB*∃⊬32CA=∃⊬-47F48EE","layer":0}]}
+{"id":982,"expression_no_base_symbol":"∥⊫$4358$⨎$1359$","expression":"∥⊫∃⊬1106⨎∃⊬54F","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":4358,"base":16},"right_expr":{"type":"numeric_atoms","value":1359,"base":16}}},"used_operators":["P8v4zCKN1o","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬8B3","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4358","layer":2},{"info":"number node, value=1359","layer":2},{"info":"compute binary expreesion, left_input=4358, right_input=1359, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1359","layer":1},{"info":"compute unary expreesion, input=1359, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2227","layer":0}],"base":16,"result_base":16,"text":"∥⊫∃⊬1106⨎∃⊬54F=∃⊬8B3","reverse_text":"∃⊬8B3=∥⊫∃⊬1106⨎∃⊬54F","cot":[{"info":"∃⊬1106⨎∃⊬54F=∃⊬54F","layer":1},{"info":"∥⊫∃⊬54F=∃⊬8B3","layer":0}]}
+{"id":983,"expression_no_base_symbol":"$1434$⪢$3999$+$1026$∀⇚≩$2598$","expression":"∃⊬59A⪢∃⊬F9F+∃⊬402∀⇚≩∃⊬A26","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11182,"operation_count":3,"complexity_ratio":3727.3333333333335,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1434,"base":16},"right_expr":{"type":"numeric_atoms","value":3999,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1026,"base":16},"right_expr":{"type":"numeric_atoms","value":2598,"base":16}}},"used_operators":["W4YGzv6Whe","dWAJyo7jo9","LRNGc0VcxI"],"dependent_operators":["k8jYdgA6NY","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1434","layer":2},{"info":"number node, value=3999","layer":2},{"info":"compute binary expreesion, left_input=1434, right_input=3999, 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=1026","layer":2},{"info":"number node, value=2598","layer":2},{"info":"compute binary expreesion, left_input=1026, right_input=2598, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬59A⪢∃⊬F9F+∃⊬402∀⇚≩∃⊬A26=NaN","reverse_text":"NaN=∃⊬59A⪢∃⊬F9F+∃⊬402∀⇚≩∃⊬A26","cot":[{"info":"∃⊬59A⪢∃⊬F9F=NaN","layer":1},{"info":"∃⊬402∀⇚≩∃⊬A26=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
+{"id":984,"expression_no_base_symbol":"↣≠⋷($1835$⪛$1122$)","expression":"↣≠⋷(∃⊬72B⪛∃⊬462)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":508375,"operation_count":2,"complexity_ratio":254187.5,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1835,"base":16},"right_expr":{"type":"numeric_atoms","value":1122,"base":16}}},"used_operators":["Asc51vEJeQ","uFcxV4UQCh"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1835","layer":2},{"info":"number node, value=1122","layer":2},{"info":"compute binary expreesion, left_input=1835, right_input=1122, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=713","layer":1},{"info":"compute unary expreesion, input=713, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷(∃⊬72B⪛∃⊬462)=NaN","reverse_text":"NaN=↣≠⋷(∃⊬72B⪛∃⊬462)","cot":[{"info":"∃⊬72B⪛∃⊬462=∃⊬2C9","layer":1},{"info":"↣≠⋷∃⊬2C9=NaN","layer":0}]}
+{"id":985,"expression_no_base_symbol":"(+⊝⨔$5374$)⋥≓≎(≦∁$6630$)","expression":"(+⊝⨔∃⊬14FE)⋥≓≎(≦∁∃⊬19E6)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5374,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6630,"base":16}}},"used_operators":["Qy55tPpLXF","DhbWaqg5eL","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"∃⊬2DFB","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5374","layer":2},{"info":"compute unary expreesion, input=5374, 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=6630","layer":2},{"info":"compute unary expreesion, input=6630, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6630","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=6630, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11771","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔∃⊬14FE)⋥≓≎(≦∁∃⊬19E6)=∃⊬2DFB","reverse_text":"∃⊬2DFB=(+⊝⨔∃⊬14FE)⋥≓≎(≦∁∃⊬19E6)","cot":[{"info":"+⊝⨔∃⊬14FE=∃⊬5F2","layer":1},{"info":"≦∁∃⊬19E6=∃⊬19E6","layer":1},{"info":"∃⊬5F2⋥≓≎∃⊬19E6=∃⊬2DFB","layer":0}]}
+{"id":986,"expression_no_base_symbol":"⨰⫟⨤(⋗⩬⋾$5782$)","expression":"⨰⫟⨤(⋗⩬⋾∃⊬1696)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":70279,"operation_count":2,"complexity_ratio":35139.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5782,"base":16}}},"used_operators":["Tw270M8GLb","DpFCA1CohY"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5782","layer":2},{"info":"compute unary expreesion, input=5782, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17346","layer":1},{"info":"compute unary expreesion, input=-17346, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤(⋗⩬⋾∃⊬1696)=NaN","reverse_text":"NaN=⨰⫟⨤(⋗⩬⋾∃⊬1696)","cot":[{"info":"⋗⩬⋾∃⊬1696=∃⊬-43C2","layer":1},{"info":"⨰⫟⨤∃⊬-43C2=NaN","layer":0}]}
+{"id":987,"expression_no_base_symbol":"($1541$∀⇚≩$8358$)⪮%⊝$2490$≹⇙⪍$5139$","expression":"(∃⊬605∀⇚≩∃⊬20A6)⪮%⊝∃⊬9BA≹⇙⪍∃⊬1413","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10797,"operation_count":3,"complexity_ratio":3599.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1541,"base":16},"right_expr":{"type":"numeric_atoms","value":8358,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2490,"base":16},"right_expr":{"type":"numeric_atoms","value":5139,"base":16}}},"used_operators":["IWmyXbctLI","LRNGc0VcxI","AHs5Up7iyr"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","X99M06cbEe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1541","layer":2},{"info":"number node, value=8358","layer":2},{"info":"compute binary expreesion, left_input=1541, right_input=8358, 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=2490","layer":2},{"info":"number node, value=5139","layer":2},{"info":"compute binary expreesion, left_input=2490, right_input=5139, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬605∀⇚≩∃⊬20A6)⪮%⊝∃⊬9BA≹⇙⪍∃⊬1413=NaN","reverse_text":"NaN=(∃⊬605∀⇚≩∃⊬20A6)⪮%⊝∃⊬9BA≹⇙⪍∃⊬1413","cot":[{"info":"∃⊬605∀⇚≩∃⊬20A6=NaN","layer":1},{"info":"∃⊬9BA≹⇙⪍∃⊬1413=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
+{"id":988,"expression_no_base_symbol":"($5674$⇋≉)⪢(≦∁$1698$)","expression":"(∃⊬162A⇋≉)⪢(≦∁∃⊬6A2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1775,"operation_count":3,"complexity_ratio":591.6666666666666,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5674,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1698,"base":16}}},"used_operators":["dWAJyo7jo9","XIabStNQrY","9ICcGScMcE"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5674","layer":2},{"info":"compute unary expreesion, input=5674, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=11250","layer":1},{"info":"number node, value=1698","layer":2},{"info":"compute unary expreesion, input=1698, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1698","layer":1},{"info":"compute binary expreesion, left_input=11250, right_input=1698, 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":16,"result_base":16,"text":"(∃⊬162A⇋≉)⪢(≦∁∃⊬6A2)=NaN","reverse_text":"NaN=(∃⊬162A⇋≉)⪢(≦∁∃⊬6A2)","cot":[{"info":"∃⊬162A⇋≉=∃⊬2BF2","layer":1},{"info":"≦∁∃⊬6A2=∃⊬6A2","layer":1},{"info":"∃⊬2BF2⪢∃⊬6A2=NaN","layer":0}]}
+{"id":989,"expression_no_base_symbol":"($1189$-$1548$)∑⇟⊟($1278$-$5237$)","expression":"(∃⊬4A5-∃⊬60C)∑⇟⊟(∃⊬4FE-∃⊬1475)","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":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1189,"base":16},"right_expr":{"type":"numeric_atoms","value":1548,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1278,"base":16},"right_expr":{"type":"numeric_atoms","value":5237,"base":16}}},"used_operators":["U7g4x0WXJJ","rysDP5nf3Z"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":2},{"info":"number node, value=1548","layer":2},{"info":"compute binary expreesion, left_input=1189, right_input=1548, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-359","layer":1},{"info":"number node, value=1278","layer":2},{"info":"number node, value=5237","layer":2},{"info":"compute binary expreesion, left_input=1278, right_input=5237, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3959","layer":1},{"info":"compute binary expreesion, left_input=-359, right_input=-3959, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4A5-∃⊬60C)∑⇟⊟(∃⊬4FE-∃⊬1475)=NaN","reverse_text":"NaN=(∃⊬4A5-∃⊬60C)∑⇟⊟(∃⊬4FE-∃⊬1475)","cot":[{"info":"∃⊬4A5-∃⊬60C=∃⊬-167","layer":1},{"info":"∃⊬4FE-∃⊬1475=∃⊬-F77","layer":1},{"info":"∃⊬-167∑⇟⊟∃⊬-F77=NaN","layer":0}]}
+{"id":990,"expression_no_base_symbol":"⩦⩻⨪($5550$⪠⩆⊳)","expression":"⩦⩻⨪(∃⊬15AE⪠⩆⊳)","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":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5550,"base":16}}},"used_operators":["2td37pGCOC","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5550","layer":2},{"info":"compute unary expreesion, input=5550, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪(∃⊬15AE⪠⩆⊳)=��⊬0","reverse_text":"∃⊬0=⩦⩻⨪(∃⊬15AE⪠⩆⊳)","cot":[{"info":"∃⊬15AE⪠⩆⊳=∃⊬0","layer":1},{"info":"⩦⩻⨪∃⊬0=∃⊬0","layer":0}]}
+{"id":991,"expression_no_base_symbol":"($1224$≫≃)⨳⩥⨓($5354$⊠≄⫣)","expression":"(∃⊬4C8≫≃)⨳⩥⨓(∃⊬14EA⊠≄⫣)","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":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1224,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5354,"base":16}}},"used_operators":["nCS4ZIUYfx","X99M06cbEe","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-F09","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":2},{"info":"compute unary expreesion, input=1224, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3849","layer":1},{"info":"number node, value=5354","layer":2},{"info":"compute unary expreesion, input=5354, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3849, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3849","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4C8≫≃)⨳⩥⨓(∃⊬14EA⊠≄⫣)=∃⊬-F09","reverse_text":"∃⊬-F09=(∃⊬4C8≫≃)⨳⩥⨓(∃⊬14EA⊠≄⫣)","cot":[{"info":"∃⊬4C8≫≃=∃⊬F09","layer":1},{"info":"∃⊬14EA⊠≄⫣=∃⊬0","layer":1},{"info":"∃⊬F09⨳⩥⨓∃⊬0=∃⊬-F09","layer":0}]}
+{"id":992,"expression_no_base_symbol":"⨞⊢(⨈⫕$3219$)","expression":"⨞⊢(⨈⫕∃⊬C93)","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":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3219,"base":16}}},"used_operators":["xUOZtlo3hN","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬-99","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3219","layer":2},{"info":"compute unary expreesion, input=3219, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-153","layer":0}],"base":16,"result_base":16,"text":"⨞⊢(⨈⫕∃⊬C93)=∃⊬-99","reverse_text":"∃⊬-99=⨞⊢(⨈⫕∃⊬C93)","cot":[{"info":"⨈⫕∃⊬C93=∃⊬-15","layer":1},{"info":"⨞⊢∃⊬-15=∃⊬-99","layer":0}]}
+{"id":993,"expression_no_base_symbol":"$6683$⩚⊴⇥$2351$⨐⩸⫘$1879$⪛$1374$","expression":"∃⊬1A1B⩚⊴⇥∃⊬92F⨐⩸⫘∃⊬757⪛∃⊬55E","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":258062,"operation_count":3,"complexity_ratio":86020.66666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6683,"base":16},"right_expr":{"type":"numeric_atoms","value":2351,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1879,"base":16},"right_expr":{"type":"numeric_atoms","value":1374,"base":16}}},"used_operators":["fu6greOZ01","NTOWxs364D","uFcxV4UQCh"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬-1FC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6683","layer":2},{"info":"number node, value=2351","layer":2},{"info":"compute binary expreesion, left_input=6683, right_input=2351, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9155","layer":1},{"info":"number node, value=1879","layer":2},{"info":"number node, value=1374","layer":2},{"info":"compute binary expreesion, left_input=1879, right_input=1374, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=505","layer":1},{"info":"compute binary expreesion, left_input=-9155, right_input=505, 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=-508","layer":0}],"base":16,"result_base":16,"text":"∃⊬1A1B⩚⊴⇥∃⊬92F⨐⩸⫘∃⊬757⪛∃⊬55E=∃⊬-1FC","reverse_text":"∃⊬-1FC=∃⊬1A1B⩚⊴⇥∃⊬92F⨐⩸⫘∃⊬757⪛∃⊬55E","cot":[{"info":"∃⊬1A1B⩚⊴⇥∃⊬92F=∃⊬-23C3","layer":1},{"info":"∃⊬757⪛∃⊬55E=∃⊬1F9","layer":1},{"info":"∃⊬-23C3⨐⩸⫘∃⊬1F9=∃⊬-1FC","layer":0}]}
+{"id":994,"expression_no_base_symbol":"(⪝⪂⫅$1566$)⇷($1056$⪠⩆⊳)","expression":"(⪝⪂⫅∃⊬61E)⇷(∃⊬420⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3222990,"operation_count":3,"complexity_ratio":1074330.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1566,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1056,"base":16}}},"used_operators":["mp7IySMOzn","XTarYq4gQB","JLbD19bQDL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1566","layer":2},{"info":"compute unary expreesion, input=1566, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-230202","layer":1},{"info":"number node, value=1056","layer":2},{"info":"compute unary expreesion, input=1056, 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=-230202, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅∃⊬61E)⇷(∃⊬420⪠⩆⊳)=∃⊬0","reverse_text":"∃⊬0=(⪝⪂⫅∃⊬61E)⇷(∃⊬420⪠⩆⊳)","cot":[{"info":"⪝⪂⫅∃⊬61E=∃⊬-3833A","layer":1},{"info":"∃⊬420⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬-3833A⇷∃⊬0=∃⊬0","layer":0}]}
+{"id":995,"expression_no_base_symbol":"⨑⩽⪐($1780$⇼⇔∾$6732$)","expression":"⨑⩽⪐(∃⊬6F4⇼⇔∾∃⊬1A4C)","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":1780,"base":16},"right_expr":{"type":"numeric_atoms","value":6732,"base":16}}},"used_operators":["AF7qkfDlqP","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-1247","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1780","layer":2},{"info":"number node, value=6732","layer":2},{"info":"compute binary expreesion, left_input=1780, right_input=6732, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4952","layer":1},{"info":"compute unary expreesion, input=4952, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4679","layer":0}],"base":16,"result_base":16,"text":"⨑⩽⪐(∃⊬6F4⇼⇔∾∃⊬1A4C)=∃⊬-1247","reverse_text":"∃⊬-1247=⨑⩽⪐(∃⊬6F4⇼⇔∾∃⊬1A4C)","cot":[{"info":"∃⊬6F4⇼⇔∾∃⊬1A4C=∃⊬1358","layer":1},{"info":"⨑⩽⪐∃⊬1358=∃⊬-1247","layer":0}]}
+{"id":996,"expression_no_base_symbol":"($1722$⪄$6589$)⇷($5531$⫥∨⫟$1670$)","expression":"(∃⊬6BA⪄∃⊬19BD)⇷(∃⊬159B⫥∨⫟∃⊬686)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3882469,"operation_count":3,"complexity_ratio":1294156.3333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1722,"base":16},"right_expr":{"type":"numeric_atoms","value":6589,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5531,"base":16},"right_expr":{"type":"numeric_atoms","value":1670,"base":16}}},"used_operators":["mp7IySMOzn","SUmda5xLS4","KYD54nUTWz"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1722","layer":2},{"info":"number node, value=6589","layer":2},{"info":"compute binary expreesion, left_input=1722, right_input=6589, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-277301","layer":1},{"info":"number node, value=5531","layer":2},{"info":"number node, value=1670","layer":2},{"info":"compute binary expreesion, left_input=5531, right_input=1670, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-277301, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6BA⪄∃⊬19BD)⇷(∃⊬159B⫥∨⫟∃⊬686)=NaN","reverse_text":"NaN=(∃⊬6BA⪄∃⊬19BD)⇷(∃⊬159B⫥∨⫟∃⊬686)","cot":[{"info":"∃⊬6BA⪄∃⊬19BD=∃⊬-43B35","layer":1},{"info":"∃⊬159B⫥∨⫟∃⊬686=NaN","layer":1},{"info":"∃⊬-43B35⇷NaN=NaN","layer":0}]}
+{"id":997,"expression_no_base_symbol":"⫛⫱⨽($1608$+⇶⊼$1621$)","expression":"⫛⫱⨽(∃⊬648+⇶⊼∃⊬655)","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":1608,"base":16},"right_expr":{"type":"numeric_atoms","value":1621,"base":16}}},"used_operators":["DlLNRPXxWL","TpPTUOHfaN"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1608","layer":2},{"info":"number node, value=1621","layer":2},{"info":"compute binary expreesion, left_input=1608, right_input=1621, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⫛⫱⨽(∃⊬648+⇶⊼∃⊬655)=NaN","reverse_text":"NaN=⫛⫱⨽(∃⊬648+⇶⊼∃⊬655)","cot":[{"info":"∃⊬648+⇶⊼∃⊬655=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
+{"id":998,"expression_no_base_symbol":"$2098$⨽$1265$⫡⨏(⇁⨣⪵$1093$)","expression":"∃⊬832⨽∃⊬4F1⫡⨏(⇁⨣⪵∃⊬445)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2115,"operation_count":3,"complexity_ratio":705.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2098,"base":16},"right_expr":{"type":"numeric_atoms","value":1265,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1093,"base":16}}},"used_operators":["QMFrweE19q","8HhzD0ZcuI","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2098","layer":2},{"info":"number node, value=1265","layer":2},{"info":"compute binary expreesion, left_input=2098, right_input=1265, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13207293","layer":1},{"info":"number node, value=1093","layer":2},{"info":"compute unary expreesion, input=1093, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13207293, 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":16,"result_base":16,"text":"∃⊬832⨽∃⊬4F1⫡⨏(⇁⨣⪵∃⊬445)=NaN","reverse_text":"NaN=∃⊬832⨽∃⊬4F1⫡⨏(⇁⨣⪵∃⊬445)","cot":[{"info":"∃⊬832⨽∃⊬4F1=∃⊬-C986FD","layer":1},{"info":"⇁⨣⪵∃⊬445=NaN","layer":1},{"info":"∃⊬-C986FD⫡⨏NaN=NaN","layer":0}]}
+{"id":999,"expression_no_base_symbol":"⊥($6617$∑⇟⊟$2799$)","expression":"⊥(∃⊬19D9∑⇟⊟∃⊬AEF)","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":6617,"base":16},"right_expr":{"type":"numeric_atoms","value":2799,"base":16}}},"used_operators":["Q3PJZHRvZv","U7g4x0WXJJ"],"dependent_operators":["fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6617","layer":2},{"info":"number node, value=2799","layer":2},{"info":"compute binary expreesion, left_input=6617, right_input=2799, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(∃⊬19D9∑⇟⊟∃⊬AEF)=NaN","reverse_text":"NaN=⊥(∃⊬19D9∑⇟⊟∃⊬AEF)","cot":[{"info":"∃⊬19D9∑⇟⊟∃⊬AEF=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
+{"id":1000,"expression_no_base_symbol":"$1929$⪛$4230$/$1766$∼$6341$","expression":"∃⊬789⪛∃⊬1086/∃⊬6E6∼∃⊬18C5","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1929,"base":16},"right_expr":{"type":"numeric_atoms","value":4230,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1766,"base":16},"right_expr":{"type":"numeric_atoms","value":6341,"base":16}}},"used_operators":["XhwjNDsVaA","uFcxV4UQCh","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1929","layer":2},{"info":"number node, value=4230","layer":2},{"info":"compute binary expreesion, left_input=1929, right_input=4230, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1929","layer":1},{"info":"number node, value=1766","layer":2},{"info":"number node, value=6341","layer":2},{"info":"compute binary expreesion, left_input=1766, right_input=6341, 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=1929, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬789⪛∃⊬1086/∃⊬6E6∼∃⊬18C5=NaN","reverse_text":"NaN=∃⊬789⪛∃⊬1086/∃⊬6E6∼∃⊬18C5","cot":[{"info":"∃⊬789⪛∃⊬1086=∃⊬789","layer":1},{"info":"∃⊬6E6∼∃⊬18C5=NaN","layer":1},{"info":"∃⊬789/NaN=NaN","layer":0}]}